Category Archives: History of cosmography

History of science garbage dumps – two for the price of one

I acquired the book under review here back in 2024 shortly after it was first published and having read it was astounded at how bad it actually was. I started to write a review but after much effort and more than 8000 words, I was about half way through and couldn’t take anymore. I put it to one side aiming to take it up again later, I never did. Recently on an Internet forum somebody asked if anybody knew the book and what they thought of it? I replied with my honest opinion that I thought it was crap and was asked if I had written a review of it. I replied with the explanation given above and the enquirer asked if he could read my unfinished review, as did several others. Having dug it out and reread it, I sent it to those who wished to read it. I have now posted it here to warn any other potential readers  of those subpar tome. I will only point out that the chapters I haven’t reviewed here are just as bad as the ones I have reviewed.

Back in 2019, I decided to buy the highly praised debut book by Violet Moller, The Map of KnowledgeHow Classical Ideas Were Lost and FoundA History in Seven Cities (Picador, 2019). Typical of the promotion for this volumes was Peter Frankopan’s cover blurb:

A lovely debut from a gifted young author. Violet Moller brings to life the ways in which knowledge reached us from antiquity to the present day in a book that is as delightful as it is readable.

I have a lot of respect for Peter Frankopan so, I took the plunge. When I tried to read this highly praised volume, Frankopan was not alone in his gushing praise, I found it factually inaccurate and shoddy so I gave up. More recently an internet acquaintance asked me my opinion of the book and I said I wouldn’t recommend it. He then asked me why and I said, to be honest I have a negative view of the book  but I can’t remember why! One evening I took it down from the shelf and reread parts of it and came to the conclusion that it was even worse than I remembered.

Given these facts, it might seem surprising that, when Violet Moller’s new book was launched, with similar fanfares, although nothing from prominent historians, I bought a copy. Given the title, I simply couldn’t resist, Inside The Stargazers PalaceThe Transformation of Science in 16th-Century Northern Europe (One World, 2024). If I claim to have even a modicum of expertise in the history of science it is in The Transformation of Science in 16th-Century Northern Europe a topic to which a substantial percentage of this blog has been devoted over the last sixteen years. I wish I had resisted!

Moller sets out her intentions in a nineteen page PrologueBefore in which she explains, quite correctly, that substantial progress was made in advancing science in Europe in the sixteenth century before the seventeenth-century Scientific Revolution. She also correctly notes that these advances were still mixed up with the so-called occult sciences, astrology and alchemy. She writes:

The stars, or rather astronomy, will be our guide. This was the  most prestigious of the mathematical disciplines, one that long played a leading role in the development of science in part because it was often the starting point for investigation of the natural world. People have always built places to observe, to enhance their understanding of the night sky.

And then:

In my last book, The Map of Knowledge, I followed three major scientific texts as they were transmitted and transformed in the Middle Ages , following them on a thousand-year journey through seven cities that ended in 1500. This is where we will begin, taking up where we left off and travelling to seven places north of the Alps where people studied the stars and made instruments in their quest to deepen their understanding of the world around them.

If Moller had actually delivered that which she outlines in this prologue in an accurate factual manner then this would have been a good book, unfortunately, she doesn’t. The book is littered with errors inaccuracies and an incredible amount of waffle. A couple of inaccuracies from this prologue to give a taste before we dive into the morass. 

A central theme of the book is instruments and she writes:

By the second century CE, Ptolemy had an array of instruments at his fingertips, simple ones for measurement like quadrants but also more complex astrolabes and armillary spheres which could calculate and predict celestial activity.

Ptolemy did not have astrolabes. He uses the name for what we now call armillary spheres. Ptolemy’s armillary sphere was a large observational instrument, which was used to measure the positions of celestial object, as described in Book V of the Almagest,  and was not used for calculations. 

Throughout her book Moller seems to be obsessed with clocks and it starts in the prologue with the following:

Of all the astronomical instruments developed before the telescope, clocks were the most significant. Being able to accurately measure time had a profound influence on so many aspects of life, and a singular effect on the accuracy and potential use of astronomical observations. There had been clocks of various kinds for centuries; water clocks were popular in the Arab world and famously reached Europe when the caliph Harun al-Rashid sent one to the emperor Charlemagne – a classic example of one-upmanship masquerading as generosity. 

Let’s quote Wikipedia:

Water clocks are some of the oldest time-measuring instruments. The simplest form of water clock, with a bowl-shaped outflow, existed in Babylon, Egypt, and Persia around the 16th century BC. Other regions of the world, including Indiaand China, also provide early evidence of water clocks, but the earliest dates are less certain. Water clocks were used inancient Greece and in ancient Rome, as described by technical writers such as Ctesibius (died 222 BC) andVitruvius (died after 15 BC).

[…]

Some water clock designs were developed independently, and some knowledge was transferred through the spread of trade. These early water clocks were calibrated with a sundial. While never reaching a level of accuracy comparable to today’s standards of timekeeping, the water clock was a commonly used timekeeping device for millennia, until it was replaced by more accurate verge escapement mechanical clocks in Europe around 1300.

Put simple medieval Europeans didn’t need to be told by Harun al-Rashid what a water clock was.

We move to the first of Moller’s ‘seven places,’ Nuremberg! If only I knew an expert on the history of science in sixteenth century Nuremberg, who could point out Moller’s errors. Moller doesn’t actually engage with the extensive and varied mathematical and astronomical culture of sixteenth-century Nuremberg but only presents potted biographies of Regiomontanus, who lived and died in the fifteenth century, Albrecht Dürer, Wenzel Jamnitzer and a purple prose section on Augsburg and the Fugger. 

The chapter opens with a general account, which is OK, briefly discusses Hans Sachs’ The Book of Trades noting that it doesn’t contain an instrument maker, not surprising as it wasn’t a recognised trade, which she doesn’t mention. She then indulges her spleen for clocks by introducing Peter Henlein (1485–1542), she delivers a typical Moller nonsense:

In the early years of the sixteenth century Peter Henlein, a local artisan, made a small portable clock designed to be worn around the neck or fastened onto clothing—the first known watch, called a ‘living egg’ because of its shape and the miniscule steel cogs that turned inside it. Henlien’s workshop produced hundreds of these…

Henlein was indeed one of the first craftsmen to make small ornamental portable clocks which were often worn as pendants or attached to clothing and is credited with inventing the watch. He did not produce hundreds of these and he did not produce the egg shaped watches that became popular around 1580 twenty years after his death. 

Enter Regiomontanus who also featured in her earlier book and it is interesting to note that her account of his wanderings between leaving Vienna in 1461 and arriving in Nuremberg in 1471 is highly inaccurate in both books but the two accounts also contradict each other! I’ll just stick to the new book.

Moller quotes Regiomontanus’ letter in which he explains his move to Nuremberg in 1471 “on account of the availability of instruments, particularly the astronomical instruments on which the entire science of the heavens is based, but also on account of the very great ease of all sorts of communication with learned men everywhere.” 

She complains that Regiomontanus doesn’t receive the attention he deserves, “There is only one biography of him in English (translated from the German) and his presence in Nuremberg today is slight, although there is a small observatory named after him. I don’t quite know what Moller expects, although my friends at the highly active observatory will be pleased to have got a mention. I recently had a discussion on social media with other experts on the history of astronomy about producing a new Regiomontanus biography, which given his very broad pallet of activities would be a horrendous task. There are however numerous scientific papers on the various aspects of his life and work. 

We get a brief sketch of his life up to his work with Peuerbach in which Moller calls Regiomontanus a Latinized ‘nickname’–it’s a toponym! She also fails to note that he was never called that, the name was first used by Melanchthon sixty years after his death. We then get the following:

Then in 1461, disaster struck – Peuerbach died suddenly, aged just thirty-eight. Regiomontanus had lost his collaborator and friend, at a time when astronomers were thin on the ground. Fortunately, he had met someone the year before who could help. Cardinal Johannes Bessarion … Regiomontanus must have felt he had entered the very gates of heaven when he entered when he arrived at Bessarion’s elegant house and saw the library. 

Firstly, Bessarion’s name was not Johannes, it was Basilios. We get no mention of the fact that Bessarion had sought out Peuerbach to make new translation from the Greek of the Almagest, which he couldn’t do as he didn’t speak Greek but agreed to write an undated Epitome of the Almagest. Bessarion then invited him to return to Italy with him, Peuerbach accepted but only on the condition that Regiomontanus also went. So, Bessarion’s adoption of Regiomontanus into his familia was agreed before Peuerbach’s death. Moller tells us:

Regiomontanus taught Bessarion astronomy and mathematics , receiving tuition in Greek in return…

Bessarion did indeed teach Regiomontanus Greek but I know of no lessons in astronomy and maths for Bessarion.  We get told: 

He and Bessarion spent the next four years travelling around Italy together … In 1467 Regiomontanus was tempted back over the Alps by an offer from Matthias Corvinus, King of Hungary, whose recent victory against the Turks had left him in possession of several rare manuscripts. Unable to resist the prospect of new texts, Regiomontanus set off northwards to the Hungarian court in Buda, a rare beacon of humanism outside Italy. 

Regiomontanus left Italy in 1465 and it is not known where he was for the next two years, so if he headed northwards when he went to Hungary is not known. He received no offer from Matthias Corvinus but travelled to Esztergom (German Gran) to the court of the Archbishop János Vitéz (c. 1408–1472) as a potential member of staff for the newly established University of Bratislava. Vitéz had  earlier been a patron of Peuerbach’s and most probably wanted to engage Regiomontanus for his skills as an astrologer. Regiomontanus later transferred to Matthias Corvinus’ court in Buda. Corvinus did not have ‘several rare manuscripts’ but had established a royal library, the Bibliotheca Corviniana in 1465, one of the most renowned libraries in the Renaissance world, which had grown to about 3,000 codices, which included about four to five thousand various works, many of classical Greek and Latin authors. That is four times as large as the library of Bessarion that Moller waxes lyrical about over several pages.

Moller now tells us:

A few years later still in Matthias’ service, Regiomontanus wrote a letter to a fellow scholar at the University of Erfurt … This letter written in July 1471 is an invaluable source of information on his plans, … One of his priorities was to calculate new planetary tables based on his own improved observations; another was to set up a printing press to publish a selection of scientific works.  

Moller then tells how valuable Regiomontanus’ time in Italy was and can’t resist, “Italy was the main beneficiary of manuscripts brought from Constantinople after it was taken by the Ottomans in 1453…”  the flood of manuscripts out of Constantinople in 1453 is a myth. She adds, Occasionally he discovered manuscripts for himself…” Regiomontanus’ main occupation was to seek out and make copies of manuscripts for Bessarion. 

 We return to Matthias, “In 1471, King Matthias sent Regiomontanus to Nuremberg to work on a new set of astronomical tables based on new, improved observations.”

Actually, according to legend Regiomontanus was asked in Buda why astrological prognostication were so inaccurate, to which he replied because the astronomical data on which they are based is too inaccurate. He then requested permission from Matthias to leave Buda and travel to Nuremberg to carry out his programme of observations. The letter from July 1471, which Moller had actually quoted earlier in her narrative was actually written from Nuremberg, a fact that she quotes,  where he had been living since 2 June at the latest. 

Moller now rambles on extensively about Regiomontanus’ workshop, his famous Tradelist (1474), in which he announced the books he intended to publish, and his intention also to manufacture scientific instruments. In the early history of printing Regiomontanus’ Tradelist is a fascinating and interesting document and it is right to draw attention to it but Moller’s comments on his workshop are totally speculative as we know absolutely nothing about it. Although here Moller allows herself another blunder, she writes:

The list contains several works by Ptolemy, including his masterpiece on astronomy the Almagest, and Euclid’s foundational text on mathematics, the Elements (neither had been printed with their diagrams before [my emphasis])

Neither had even been printed! The first Latin edition of the Almagest printed in 1515 and the first Greek edition in 1538. The first edition of the Elements was that of Ratdolt in 1482.

Moller quotes from the Tradelist, “There shall be made also astronomical instruments for celestial observations,” leaving out the next sentence, “And also other things for common daily use, the names of which it would be tedious to relate.” She then goes on to say:

 “In this period, if you wanted an astrolabe, you either had to make on yourself using a manual, or specifically commission one from a goldsmith. There were no dedicated instrument shops, but as scholarship spread in Europe, more and more people became interested in measuring the stars, transmuting metals, and distilling tinctures. As the demand for astrolabes, glass vessels and other specialist equipment rose, people started making them to sell, setting up centres of production to cater for the new market. … Regiomontanus was a pioneer in this field…

Unfortunately for Moller, and her glorification of Regiomontanus the instrument maker, when he moved to Nuremberg there were already many workshop producing astronomical instruments, which is one of the two reasons he moved there, as he wrote in that letter from July 1471, which she quotes six pages earlier:

Quite recently I have made [observations] in the city of Nuremberg…for I have chosen it as my permanent home, not only on account of the availability of instrument, particularly the astronomical instrument on which the entire science of the heavens is based…

Apparently she doesn’t actually read what she writes! Nuremberg would continue to be the major centre for the production of scientific instruments until at least the middle of the sixteenth century. 

Moller tries to present the printer publisher, Regiomontanus, as some sort of highly influential role model in the history of scientific publishing but, although he was the first scientific publisher, there is little or no evidence that he influenced anybody apart from Erhard Ratdolt. Moller, of course, tries to push the story that Ratdolt learnt printing working for Regiomontanus in Nuremberg but there is absolutely no factual evidence for this theory. I argue that given the impact of Regiomontanus’ Ephemerides and Calendaria, and his reputation as an astrologer, that if Ratdolt had learnt his trade from him he would have loudly announced the fact, when he set up his own publishing house in Venice. 

Moller’s obsession with clocks come out with another quote from the Tradelist, “The Tradelist mentions of a planetarium or astronomical clock being made in the workshop, ‘a work clearly to be gazed upon as a marvel’…  The actual quote,  “In the workshop of the artisan a planetarium is under continuous development. A work clearly to be gazed upon as a marvel” makes no mention of an astronomical clock and a planetarium is not an astronomical clock.

Following Regiomontanus’ death, Moller gives out another piece of ahistorical garbage, she writes:

Mathematical printing continued, and in the following decades the city became a flourishing centre with Regiomontanus’ own  De Triangulis (1533), Copernicus’ De Revolutionibus (1543) and Cardano’s Ars Magna testament to ‘Regiomontanus’ importance, not only as a mathematician and astronomer, but also as a publicist a publicist and architect of the renaissance of mathematics.’ (The quote is from Paul Rose’s The Italian Renaissance of Mathematics p. 109).

All three books were published by Johannes Petreius, who had nothing to do with Regiomontanus’ efforts as a printer/publisher, but who had learnt the printing trade from his uncle Adam Petri in Basel before moving to Nuremberg in 1523 almost certainly to try and fill the gap left by the death of Anton Koberger. Moller never mentions Petreius  the most important scientific publisher in Europe in the first half of the sixteenth century or Koberger, who started printing in Nuremberg a year before Regiomontanus and was in the last decades of the fifteenth century and the first decades of the sixteenth, the biggest printer publisher in the whole of Europe. 

Moller now moves on to Regiomontanus’s partner in Nuremberg, Bernhard Walther and the house he purchased, when he retired in 1501. When I read what she now wrote I didn’t know whether to laugh or cry:

He had two windows and a balcony built onto the top floor of the southern gable  and installed his instruments there, creating a modest, yet ground-breaking observatory – the first identifiable one in northern Europe. 

Actually, Walther added the entire third floor to the building. I will show you a picture of his balcony to explain my reaction!

Walther House with Observatory Window in the south gable
Photo: Nora Reim
Source: Astronomie in Nürnberg

As you can see it is actually a stone window sill on which he supported his instruments when making observations. It is probably less that a metre long and maybe thirty centimetres wide at its widest point. Moller, who obviously not done the necessary research seriously thinks Walther built a balcony because  later when discussing the observatory of Wilhelm IV of Hesse-Kassell, she wonders whether Walther’s balcony served as a role model for Wilhelm’s observing balcony. 

She uses Walther’s house to introduce Albrecht Dürer, who bought the house in 1509, because it had been Walther’s house, and it is today a museum dedicated to Dürer. After a couple of introductory lines of biography Moller send Dürer off on his traditional journeyman years of travel and then writes:

When he returned to marry Agnes Frey, the daughter of a wealthy brass maker, he was a master of copperplate engraving, an almost unknown art in Nuremberg.

Copperplate engraving was an almost unknown art everywhere. Also, when Dürer returned to Nuremberg in 1494 he was anything but a master in the art but a shaky beginner. There are three small copperplate prints from that year that are very obviously the work of a beginner. Also, he didn’t learn the art during his journeyman years of travel. Copper plate engraving was invented by gold smiths and Dürer certainly learnt the art in his father’s workshop. Moller now tackles his first journey to the south, which she following the tradition went to Venice. Modern research doubts that on that first journey  Dürer ever left Germany. However, Moller writes:

There were many reasons for him to visit the magical city on the lagoon, but high on the list must have been visiting its printing presses and gathering expertise and contacts for the venture he was about to launch in Nuremberg.

The knowledgeable reader must ask himself at this point, why would Dürer visit Venice to look at printing presses, when by 1595 his godfather Anton Koberger was the biggest printer publisher in Europe. Koberger had printed the Nuremberg Chronicle in 1593, which is full of woodblock prints from the workshop of Michael Wolgemut, Dürer’s master! From Koberger and Wolgemut, Dürer could and did learn everything he needed to know about setting up a print workshop. 

We now get a piece of arrant bullshit:

The workshop gave Dürer control, just as it had Regiomontanus. Here he was able to oversee every stage of his cultural output, from initial design to finished painting or print. Dürer’s success in this endeavour, along with the house’s preservation, give us unprecedented access [my emphasis] to one of the most important and innovative workshops, there has ever been. It is a portal into the sixteenth century and the life of Albrecht Dürer. 

All leading Renaissance artists set up their own workshops giving them control. Whilst in detail different, Dürer’s workshop was no more innovative that those of Lorenzo Ghiberti (1378–1455), Andrea del Verrocchio (c. 1435–1488), Leonardo’s master, or Dürer’s own master, Michael  Wolgemut (1434–1519), who taught Dürer the art of woodblock printing and introduced him to the concept of selling prints individually, which Moller seems to think Dürer invented. He turned the concept into big business but he didn’t invent it. 

After a passage of purple prose about the workshop Moller delivers her next metaphorical history of art, pratfall: 

Dürer was awestruck by the natural world, obsessed with studying and capturing it. In 1503, he turned his forensic gaze upon a patch of weeds, dug from the surrounding countryside and carried back to the studio where, using pen, ink and watercolour he produced an image of ground-breaking naturalism and beauty. Every plant in the Great Piece of Turf is identifiable, each blade of grass perfectly rendered. This study of nature is scientific in detail and accuracy. Even the roots and soil are shown; it is the first image of its kind.

The Great Piece of Turf is not a parch of weeds, dug from the surrounding countryside and carried back to the studio, it is an artificial construct carefully put together to create an illusion of realism, which is in fact hyper-realistic.

Moller keeps trying to forge a link between Dürer and Regiomontanus that simply didn’t exist. For example, she write:

Inspired by what he had seen in Italy and by Regiomontanus’ enterprise in Nuremberg…

She seems to think that because Regiomontanus set up a printing works in Nuremberg to print books in 1471 that Dürer was copying him when he set up an artist’s workshop in 1495 specialising in woodcut prints. Dürer had served his apprenticeship in the workshop of Michael Wolgemut, who specialised in woodcut prints!  

The quote above has a bizarre footnote:

Dürer was a leading member of a circle of intellectuals who saw themselves as Regiomontanus’ successors, men like Walther, Willibald Pirckheimer, Johannes Werner and Johannes Schöner.

Apart from Walther, these men did not see themselves as Regiomontanus’ successors but had varied and complex backgrounds. Although Pirckheimer, Werner, and Schöner were all major scientific figures in Nuremberg during the period Moller covers , she makes no other mention of them or any attempt to describe their significant contributions to Renaissance science. Any non-expert reading her footnote would probably think, “who the fuck are they?”

After a couple of paragraphs of waffle about the importance of patronage, Moller now drifts off to write a five page gloss on the banking family the Fuggers of Augsburg in a chapter about Nuremberg. This ends in Antwerp where we then get the following:

Dürer, visiting in 1520 on his ill-fated mission to find a whale, noted that it was ‘constructed altogether new and at great expense, with a particular tower, wide and large, and with a beautiful garden’.

It would appear that Moller expects her readers to be fully informed about Dürer’s expedition to Zeeland to view a whale beached by a storm, because she gives no further explanation of this statement, except:

Dürer returned home to Nuremberg, weakened from an illness he had caught on his travels and disappointed he had neither secured Charles V’s patronage nor encountered a whale. 

Dürer didn’t travel to the Netherlands to see a whale, that was simply an accidental opportunity that occurred whilst he was there. He travelled because the Holy Roman Emperor Maximillian I had died in 1519 and with his death Dürer had lost his Imperial Pension. He travelled to the crowing of Charles V as emperor in Aachen to get his Imperial pension renewed , an endeavour in which he was successful. Apparently that news never reached Moller. 

Before leaving Dürer, it is interesting to note that in a book with the subtitle, The Transformation of Science in 16th-Century Northern Europe Moller completely ignores the three maths book Dürer authored, Various Lessons on the Fortification of Cities, Castles, and Localities (Etliche Underricht zu Befestigung der Stett, Schloss und Flecken) (1527), Four Books on Human Proportion (Vier Bücher von menschlicher Proportion) (1528) and Four Books on Measurement (Underweysung der Messung mit dem Zirckel und Richtscheyt or Instructions for Measuring with Compass and Ruler) (1525). The latter was the first mathematics book printed in German and was translated into Latin and several major European languages. He also, together with Johann Stabius produced a world map. Most telling in a book which the author says, The stars, or rather astronomy, will be our guide, she completely ignore the fact that Dürer provided the images for the first ever in Europe printed star maps produced by Johann Stabius and Conrad Heinfogel.

We now get a page and a half devoted to the goldsmith Wenzel Jamnitzer, who moved to Nuremberg in 1534, who as Moller points out was famous for his delicate gold flower but also for his book on the theory of perspective Perspectiva corporum regularium (Perspective of the Regular Solids), which was illustrated by Jost Amman (1539–1591). He was also an instrument maker. Moller tells us:

In 1562, Jamnitzer commissioned a portrait of himself. However, unlike Amman’s goldsmith in the Book of Trades, he is not painted holding the tools of his trade. In his left hand is a silver conversion rule he made himself, designed to compare the weights of different metals; in his right a variable proportional compass – precise mathematical instruments rather than pliers of hammers.

What Jamnitzer is holding in his hands are the tools of his trade! She then goes onto give other examples of Jamnitzer presented with mathematical instruments. Then she writes: 

In presenting himself as more than a craftsman, Wenzel was taking the mantle directly from Dürer, continuing his crusade to elevate the status of artists, scholars and artisans. His emphasis on the scientific aspects of his career shows how it was developing during the century, and with it, those who practiced it. 

Jamnitzer was possibly the best goldsmith who worked in Nuremberg during the Early Modern Period but he was by no means the only one who designed and made scientific or mathematical instruments and not even the first to do so. Moller is here trying to claim some sort of special status for Jamnitzer that he simply didn’t have. 

Moller closes this train wreck of a chapter with a quite frankly ludicrous claim.

Thanks to Regiomontanus, Dürer, and Jamnitzer, Nuremberg was the first place in northern Europe where the combination of commercial success and technological ambition came together to create a new world of knowledge, an inspiring example to others; the city remained a thriving centre of instrument making, but this example too was beginning to spread to other places.

Nuremberg was a major centre for the production of scientific instruments before Regiomontanus moved there; in fact, that’s one of the principle reasons he moved there. It is not known if Regiomontanus actually produced any instruments in Nuremberg. In terms of instrument made in Nuremberg, Jamnitzer was very much a late comer. Whilst Regiomontanus set standards for the quality of his scientific publishing, he general impact as a  printer/publisher was minimal compared to the contemporary publishing house of Anton Koberger or in scientific publishing compared to the slightly later Johannes Petreius. Although commercially more successful, Dürer’s workshop was no different to that of his master Michael Wolgemut, from whom he learnt the art of making and marketing woodcut prints. In general Moller completely ignores the people who actually made Nuremberg the centre of a new world of knowledge, Erhard Etzlaub, Willibald Pirckheimer, Johannes Werner and Johannes Schöner, Georg Hartman, Johannes Stabius (not a resident but a frequent visitor), Johannes Neudörffer and, Thomas Venatorius, and many other minor figures. 

Having right royally screwed the history of science of sixteenth century Nuremberg, Moller now takes us to the University of Louvain in the Spanish Netherlands. She opens with the arrival of a young John Dee in 1547 and tells us:

It’s hard to believe Dee would not have passed through Antwerp on his way to Louvain, which lies a few hours’ walk through the gently undulating countryside to the south-east.

Antwerp to Louvain is 43.5 kilometres as the crow flies so allowing for normal roads about fifty kilometres by road, it’s  not exactly what I would describe as a few hours walk. After a lot of waffle about Antwerp, Louvain and the Spanish Netherlands we arrive at the University of Louvain, and Moller informs us:

When Dee arrived, Louvain University had been educating young men for a little over a century. Known as the ‘Athens of Belgium,’ [Really? Belgium didn’t exist then!] it had grown quickly and was now only second to Paris in reputation.

“…now only second to Paris in reputation?” I known an awful lot of European universities who would seriously dispute that claim. Apart from anything else Louvain only acquired a university library in 1636. 

She continues:

Having completed the traditional BA degree, the three main MA subjects on offer were theology, philosophy and medicine. 

On the medieval university the MA was a teaching qualification, qualifying the holder to teach undergraduates. The advanced study was for a doctorate and the three subjects were theology, law and medicine.

We get a lot of background detail about the history of the university till we arrive at Andreas Vesalius, who we are told studied in the arts faculty as an undergraduate without a date, it was from 1528 to 1532. “Before long he became he became interested in the family business,” which was medicine. Moller then delivers up the story about Vesalius and Gemma Frisius stealing bits of a skeleton from a gibbet in 1536. Somehow she neglects to mention that Vesalius left Louvain to study medicine in Paris between 1533 and 1536, only returning to Louvain because of armed hostilities. 

We now get brief sketches of the life stories of Gemma Frisius and Gerhard Mercator. We are already eight pages into the chapter when finally on page nine we finally get something from the history of science:

In 1529, aged twenty-one and just one year after graduating his BA, he published a new edition of Peter Apian’s astronomical manual of 1524, Cosmographia, ‘carefully corrected and with all errors set to right, by Gemma Frisius’. 

So far so good but the title is Cosmographicus liber not Cosmographia and it is not an astronomical manual, it’s a cosmography manual as the title says, which means it covers astronomy, astrology, geography, cartography, navigation, surveying, instrument making etc. Moller continues:

Gemma Frisius had arrived, and from that moment on, the eyes of Europe looked to the Low Countries for progress in geography, cartography, and astronomy.

Correct would be, with the publication of the second edition of Apian’s Cosmographicus liber by Gemma Frisius, Louvain became a new additional centre for progress in geography, cartography, and astronomy, in northern Europe alongside Nuremberg, Ingolstadt, Vienna, Tübingen, Basel and Paris. Moller sinks deeper in the mire:

Apian’s text is a layman’s introduction to astronomy, geography and mathematical instruments, which Frisius adapted to make it more even more [sic] accessible. 

Written in Latin and highly technical, the Cosmographicus liber is hardly a layman’s introduction but a serious textbook for cosmography. Also, although Frisius expanded it, and would continue to do so over many new editions, he didn’t, in any real sense make it mor accessible.

Moller continues:

In a canny commercial move, he also began making instruments to sell alongside the text. There were very few workshops producing items like astrolabes and astronomer’s rings, while books like Cosmographia were introducing them to a wider audience, creating a new market. 

Nuremberg had a large number of workshops producing mathematical and astronomical instruments, which Moller simply chose to ignore in her highly inadequate account of the city. Georg Hartmann (1489–1564) for example produced sundials, astrolabes, armillary spheres and globes. He was probably the most prolific astrolabe maker in Europe, as he was the first to introduce the serial production of the instrument. We return to Moller:

His next move was to design ‘a geographical globe with the most important stars of the celestial sphere’ – a combined terrestrial and celestial globe. He worked in collaboration with his friend Gaspar van der Heyden, a local goldsmith who did the engraving work. 

[…]

He [Gaspar van der Heyden] had already made a globe in 1527 with the monk from Mechelen, Franciscus Monachus. The ‘gores’ (the petal-shaped segments on which the maps were printed before being pasted onto the globes) would have been printed at the publishers in Antwerp, but pasted and finished in the workshop where the spheres were made and inscribed, ‘Gaspar van der Heyden, from whom this work which cost much money and no less labour, may be acquire’.

Gemma published On the Principles of Astronomy and Cosmography, with Instructions for the Use of Globes, and information on the world and on Islands and Other Places Recently Discovered (like  his first book printed in Antwerp) to go with the globe. 

[…]

In the early sixteenth century, only a small number of workshops produced these marvellous objects [globes], usually engraved sphere of wood or metal made in commission for wealthy clients. The printing press made a new kind of globe possible, one that was made of two hollow hemispheres, usually of wood but sometimes papier mâché and plaster, glued together with the maps printed on gores and then pasted onto the surface. This type of globe was cheaper and easier to produce, enabling workshops to make theme in larger numbers for general sale rather than on commission, reducing the price and increasing their availability. Gemma saw the potential of this and ran with it. His combined globe, which was being produced in Louvain workshops by 1530, was the first of several that he designed, each one with improved geographical information which was constantly being updated by sailors and merchant returning to Antwerp from voyages.

There is an awful lot to unpack here. As far as we know the first cartographer to produce printed gores for a globe was Martin Waldseemüller (c.1470–1520), who made a very small globe, 12cm, of his famous world wall map, the first to use the name America, both in 1507. None of the globes have survived but four sets of gores are still extant. 

Unlike his map, Waldseemüller’s globe had little impact and it was Johannes Schöner (1477–1547), one of those mathematical practitioners from Nuremberg, who Moller ignored, who is credited with the first serial production of printed globes. Schöner produced a 27 cm terrestrial printed globe in 1515. This was followed by a matching celestial globe in 1517. He established the concept of matching pairs of terrestrial and celestial globes and the way that they were mounted that remained a standard down to the end of the nineteenth century. Standards also adopted by Gemma Frisius and his pupil Mercator. The cartography of the terrestrial globe was clearly based on the Waldseemüller wall map and the only surviving copy of the wall map, now in the Library of Congress, was that owned by Schöner. In 1533, Schöner produced a new pair of terrestrial and celestial globes with updated cartography. 

Although very few of Schöner’s globes have survived, they were made of  papier mâché and plaster, we now from correspondence that they were very much in demand and that he sold comparatively many of them, throughout Europe. The celestial globe in Hans Holbein’s painting The Ambassadors, painted in London in 1533, is one of Schöner’s and the small terrestrial globe is at least based on Schöner’s work. Schöner also printed books on how to use his globes, Luculentissima quaedam terrae tortius descriptio (A Very Clear Description of the Whole Earth) for his terrestrial globe and Solidi et sphaerici corporis sive globi astronomici canones usum (Manual for the Use of the Solid Spherical body and Astronomical Globe) for his celestial globe.

The demand for Schöner’s globes was very high and he could not fulfil it. In the 1520’s the Antwerp printer publisher, Roeland Bollaert had Schöner’s books but couldn’t get any of his globes. It was he who commissioned Franciscus Monachus (c. 1490–1565) together with Gaspar van der Heyden (c. 1496–c. 1549) to produce a terrestrial globe together with a descriptive book De Orbis Situ ac descriptione ad Reverendiss. D. archiepiscopum Panormitanum, Francisci, Monachi ordinis Franciscani, epistola sane qua luculenta. (A very exquisite letter from Francis, a monk of the Franciscan order, to the most reverend Archbishop of Palermo, touching the site and description of the globe), which he printed in  Antwerp, in 1524. None of the Monachus globes have survived.

In 1529, as Moller correctly pointed out Roeland Bollaert printed the second edition of Peter Apian’s Cosmographia as edited by the young Gemma Frisius. A year later he commissioned Frisius together with Gaspar van der Heyden to produce a new terrestrial globe and this is the globe that Moller describes as a combined terrestrial and celestial globe. For this Frisius wrote his De principiis astronomiae et cosmograpiae deque usu globi (Principles of Astronomy and Cosmography and the Use of the Globe), which was published by the Antwerp publisher Johannes Graheus. It is probably that Roeland Bollaert had died in the meantime. Monarchus had also acknowledged his debt to both Schöner and Peter Apian in his De Orbis Situ. None of these globes have survived. 

This globe “the first of several that he designed”! In 1536, Frisius produced, in imitation of Schöner, a matched pair of terrestrial and celestial globes. One of each has survived but the terrestrial globe has lost its stand. Interestingly, Frisius’ celestial globe uses for the constellations the images created by Dürer for the Stabius/Dürer/Heinfogel printed star maps that Moller didn’t think worth mentioning.  The globe from 1530 and the globe pair from 1536 were the only globes that Gemma Frisius produced. Moller claims the 1536 globe pair was commissioned by the Emperor Charles V, it wasn’t. Charles V granted him a patent which is something else altogether. 

Gerard Mercator, who was a pupil of Gemma Frisius, provided the italic inscriptions on the globe pair from 1536, Moller informs us:

Mercator had already made several maps by this point and had begun to use an Italian cursive script called cancellerescato mark up place names. 

Mercator’s earliest map, a wall map of the Holy land was produced in 1537 after he had finished work on Frisius’ globes. 

Having dealt with the history of Frisius’ globe production I’ll go back to Moller’s description of his publication in 1533 of the appendix to the third edition of the Cosmographia explaining triangulation. This she manages reasonably well although her explanation of triangulation is a bit terse. She then ruins it with the following:

Triangulation made it possible, for the first time, to correctly locate places on a map, to capture the vast tracts of the planet and plot them onto the page to scale. The whimsical maps of the Middle Ages like the Mappa Mundi in Hereford cathedral, which its absence of geographical knowledge, presented a vision of the cosmos based on imagination and faith, were gradually replaced by accurate charts and surveys.

I politely suggest that Moller takes a course of study in the histories of surveying and cartography. Whilst triangulation, as described by Frisius, improved the accuracy of surveying, map makers had been producing reasonably accurate maps long before Frisius was born, using other methods of surveying. Some of those methods were actually described in Peter Apian’s Cosmographia that Frisius took over. The Mappa Mundi in Hereford cathedral is one is termed a philosophical map and serves a different function, namely that of presenting a philosophical, in this case Christian, world view. She then goes off the rails with:

Maps enabled geography (the description of the world based on observation and measurement) to gradually eclipse cosmography (the conception of the universe based on philosophy and conjecture), changing the way humanity saw the world and how to approach it as an area of study.

I really don’t know where to begin in dismantling this wonderfully wrong pair of definitions. Perhaps we could start with the book that Ptolemy wrote in the second century CE, his Geōgraphik Hyphgēsis, lit. Geographical Guidance, which was titled in Latin in different edition both Geographia and Cosmographia. This was a collection of maps based as far as possible on observation and measurement, although it presupposed the philosophical assumption that the oecumene, i.e. Europe, Asia, Africa, constituted the entire world. Later the two words became distinguished, geography referring to what we now understand under the term, and cosmography referring to a description of the entire cosmos, which included geography as one of its constituents along with astronomy etc. Exactly that which Apian’s Cosmographia delivered. 

There are lots and lots of examples of maps based on observation and measurement, as far as it went, between Ptolemy’s Geographia and the invention of triangulation.

We now get a lot of filler about how the workshops in Louvain might have appeared, we don’t actually know, then Moller makes the following categorical claim: 

By the mid-1540s the workshops of Louvain were famous for producing the most accurate and most beautiful tools for studying astronomy that money could buy, eclipsing even the masters of Nuremberg.

This is hyperbolic hogwash. The instruments coming out of Louvain were indeed excellent quality but they did not eclipse the masters of Nuremberg. 

We get nothing almost nothing from Moller about Mercator’s cartographical work, although he is without doubt the most significant cartographer of the sixteenth century. We do get a longish account of his imprisonment on religious ground and then on his friendship with John Dee. Moller tells us that they spent their time discussing astrology. In this context she also claims: 

“Astrology had been under attack for several decades; Mercator and Dee were keen to ground it on a more scientific basis and place it within Copernicus’ new cosmographical framework.”  

Astrology was always under attack from somebody or other but I know of no  special state of attack in the first half of the sixteenth century: Steven Vanden Broecke has this to say about those discussions as related by John Dee:

Except for the present disc, Mercator has left no explicit record of his attitude towards astrology prior to his departure from Louvain to Duisburg in 1552. An important indirect source, however, is John Dee’s Propaedeumata Aphoristica (1558), which is dedicated to Mercator. After graduating from the University of Cambridge, the English polymath, John Dee (1527±1608) made two study tours to Louvain, one in the summer of 1547 and a second from June 1548 until at least July 1550. Apparently Dee spent much of his second stay at Louvain `learning and philosophizing ’ with Mercator. The precise content of these discussions is clarified in the preface: `Your next to last letter, in which you seemed to wish to refresh my memory of that noble debate formerly carried on between us, has given me an occasion to choose, in preference to all others, that subject which I am now to treat.’  

In other words, the topic of the Propaedeumata Aphoristica is the same as that of parts of Dee and Mercator’s debates at Louvain. Nicholas Clulee’s studies have established the Propaedeumata as Dee’s attempt to provide astrology with a firm physical and epistemological basis. In the common vein of Aristotelian natural philosophy, Dee explains that natural change is ultimately caused by celestial influence, adding the no less unexceptional conviction that such change is subject to a natural and predictable causality[1].

Traditionally Aristotelian, no mention of Copernicus!

Towards the end of the chapter Moller tells us:

Gemma died in 1555, and Mercator had left Louvain for the peace of Protestant Duisburg over the German border three years earlier, but the workshop continued to thrive under Gemma’s son Cornelius and his colleague Walter Arsenius. The number of instruments that survive suggest impressive production levels, and makers across the continent were influenced by the design and quality the city stood for, just as astronomers were enabled to make better, more accurate observations than ever before.

So much hogwash in one brief paragraph. Cornelius Gemma didn’t make instruments and in terms of the earlier comments on astrology in Louvain it is interesting to note that he shared in his father’s efforts to restore ancient Ptolemaic practice to astrology, drawing on the Tetrabiblos. What was that about Copernicus? Gualterus Arsenius, Gemma Frisius’ nephew, was the head of the family that actually produced the largest number of astronomical instruments in the Louvain workshop. The workshop was productive but no more or less so than other major European instrument workshops. The instruments from Louvain were no more accurate than those from earlier European workshops. 

Moller ramps up the stupidity a couple of lines further on:

The expertise in designing evermore accurate instruments enhanced the quality of observational data, its usefulness and status. This strengthened the role of instruments in the scientific enterprise; today, technology is so integral it is no longer possible to draw a line between the two. Modern astronomy is cutting-edge technology, and the complex telescopes that empower us to see into the darkest corners of the universe have their roots in the workshops of Louvain, and the standards and ideals that were generated there.

This is in the favourite expression of my friend the HISTSCI_HULK pure hyperbolics. The instruments makers in Louvain did not create any new or novel instruments and although their quality was high, their accuracy was not greater than other astronomical instrument makers in the sixteenth century. Lastly astronomy had been the cutting-edge technology for its time since at the latest Ptolemy. To suggest that modern astronomy has its roots in the workshops of Louvain any more than in the workshops of Nuremberg, of medieval Baghdad, ancient Alexandria or first millennium BCE Mesopotamia is quite simply bullshit.

Having entered Louvain with the young John Dee, Moller now takes us back with him to his house in Mortlake, in those days a small parish on the Thames about ten miles to the west of the City of London. Moller wishes to present Dee’s house and its library as one of her “Stargazer’s Palaces”. As with so many people who write about Dee she emphasises his occult activities whilst almost totally ignoring his scientific activities. She mentions, quoting Dee, that when he returned from Louvain he brought globes and scientific instruments with him, pointing out their scarcity in England at the time. Then she tells us:

Globes were not produced domestically until the 1590s, so the only way to get one, or two (from 1551 onwards the publication of Mercator’s celestial globe to go with the terrestrial one of 1541 set the fashion for them almost always being sold in pairs [my emphasis]), was to import them from abroad. 

Both Gemma Frisius and Mercator made matching pairs of terrestrial and celestial globes in imitation of Johannes Schöner, who “set the fashion for them almost always being sold in pairs.”

She mentions several times his financial problems and his difficulties in finding patrons/employment, whilst hardly mentioning his extensive, and historically very important, employment as an advisor and teacher of navigation, cartography etc. for the Muscovy Company amongst others. This is made even more bizarre, as she explains that Dee owned instruments designed by Richard Chancellor (c. 1521–1556). She writes:

Chancellor was a navigator who had been introduced to Dee by their mutual patron Sir Henry Sidney. He led voyages for the Muscovy Company which failed to find the Northeast Passage, but opened trade with Russia and took Chancellor to Ivan the Terrible’s court in Moscow.

She fails to mention that Dee, who worked as an advisor, teacher, and supplier of charts and instruments for ships masters and pilots of the Muscovy Company, was actually Chancellor teacher. He also wrote his The Astronomicall and Logisticall Rules and Canons to calculate the Ephemerides to be used on the first Northeast Passage voyage, by Willoughby and Chancellor.

We now get a classic, Moller writes:

Sailors needed instruments, especially astrolabes to help them navigate…

To quote David King, leading historian of scientific instruments and one of the greatest living experts on astrolabes, “astrolabes were never used for navigation.” In case you think she was referring to mariner’s astrolabe, she continues: 

…and one of these, now in a museum in Belgium, is engraved with Edward VI the Duke of Northumberland’s coats of arms. It was made in 1552 by Thomas Gemini, a founder of the instrument making trade in England, who was affected by the same religious persecution that pushed Mercator to flee Louvain and settle in the Protestant backwater of Duisburg. 

We then get the “life stories” of Thomas Gemini, Leonard Digges, and Thomas Digges all in one page of the book. …

At this point, as noted above I broke off in frustration!


[1] Steven Vanden Broecke, Dee, Mercator, and Louvain Instrument Making: An Undescribed Astrological Disc by Gerard Mercator (1551), Annals of Science, 58, 2001, 219-240 p. 226

Leave a comment

Filed under Book Reviews, History of Astronomy, History of Cartography, History of cosmography

England’s first printed-globe maker

The Earth is a sphere, or more precisely it’s an oblate spheroid, that is it is flattened at the poles and has a bulge at the equator. However, the deviations from a true sphere are minimal so, it can be regarded as a sphere for everyday purposes. It is mathematical impossible to simply flatten out the surface of a sphere without distortion. All two-dimensional  maps of the surface of the Earth employ a projection and all projections result in a distortion of one sort or another. The most well know map projection, the Mercator Projection, named after the Flemish cartographer Gerard Mercator (1512–1594), distorts area, meaning that land masses get bigger than they really are the further away from the equator they are. Greenland, which has 2,166, 086 km2, appears greater than Africa, which is fifteen times greater with 30,370,000 km2. This has led to all sorts of arguments about the use of the Mercator Projection, with people claiming falsely it is used to express European superiority over the global south.

The Ancient Greeks already knew that the Earth is a sphere and were aware of the problems of map projection. Ptolemaeus (fl. 150 CE) , who with his Geographike Hyphegesis (Greek: Γεωγραφικὴ Ὑφήγησις; lit. ’Guide to Drawing the Earth’) wrote the most important book on cartography before the Early Modern Period, which contained three different map projections, actually stated that the only accurate way to present the surface of the Earth is with a globe. 

No terrestrial globes have survived from antiquity. Although, there appear to be quite a number of surviving Islamic celestial globes there don’t appear to be any surviving terrestrial ones. There are some records of earlier European terrestrial globes from the fifteenth century, the earliest surviving terrestrial globe, is the Behaim Globe, or Erdapfel,  in Nürnberg designed by Martin Behaim (1459–1507). The sphere was made by Hans Glockengiesser (a family name that translates as bell founder) and Ruprecht Kolberger. The map was painted by Georg Glockendon (d. 1514) and the lettering was done by Petrus Gegenhart. Up till then, all globes were unique, hand crafted, one offs, so-called manuscript globes. The advent of printing in the fifteenth century would change this.

Martin Behaim’s Erdapfel

The earliest known printed globes were the small globes made by Martin Waldseemuller (c. 1470–1520) of his 1507 world map, the first to name America. None of the actually globes survive but there are four sets of surviving globe gores.

Globe gores for the Waldseemüller world map Source: Wikimedia Commons

Serial production of printed globes first took off with the work of the Nürnberger mathematicus, Johannes Schöner (1477–1547), who produced his first printed terrestrial globe in 1515, also based on Waldseemüller’s world map, and a matching printed celestial globe in 1517. Thus, establishing the tradition of matching terrestrial and celestial globe pairs. Schöner produced a new printed globe pair in 1533/34. 

Johannes Schöner’s 1515 printed terrestrial globe Source: Wikimedia Commons

It is clear from correspondence that Schöner was very successful and sold quite a large number of globes but only a couple of his globes have survived. Schöner was not the only Nürnberger mathematicus, who produced globes. We know that Georg Hartmann (1489–1564), who acted as Schöner’s globe salesman in Nürnberg when Schöner was still living in Kirchehrenbach, also manufactured globes, but none of his have survived. 

Both Waldseemüller, with his map, and Schöner, with his globes, published an accompanying cosmographia, a booklet, consisting of instructions for use as well as further geographical and historical information. An innovative printer/publisher in Louvain reprinted Schöner’s cosmographia, Lucullentissima quaedam terrae totius descriptio, and commissioned Gemma Frisius (1508–1555) to make a copy of Schöner’s globe to accompany it. Frisius became a globe maker, as did his one-time student and assistant Gerard Mercator (1512-1594), who went on to become the most successful globe maker in Europe.

Source
Gemma Frisius’ 1536 terrestrial globe Source: Wikimedia Commons

At this time England had no globe makers and the first time printed globes entered England was in 1547, when John Dee (1527–c. 1608) returned to England following his first period of study under Frisius and Mercator in Louvain bringing with him, amongst other mathematical instruments, a pair of Mercator’s globes. It would be another four decades before someone began to make printed globes in England, that someone was Emery Molyneux (d.1598).[1]

We know next to nothing about Molyneux. The one time Tuscan mercenary soldier,  calligraphist and illuminator on vellum, Petruccio Ubaldini (c.1524–c.1600), who worked in England during the reign of Elizabeth I, knew Molyneux and said he was ‘of obscure and humble family background.’ He was probably the Emery Molynox who was presented as William Cooke’s apprentice to the Stationers’ Company in October 1557, suggesting a birthdate around 1543. By the 1580s he had gained as reputation as an able mathematician and maker of mathematical instruments, working in Lambeth to the south of London. Through his business he became acquainted with Richard Hakluyt (1553–1616), and the explorers John Davis (c. 1550–1605), Walter Raleigh (c. 1553–1618), and Thomas Cavendish (1560–1592), as well as the mathematicians Edward Wright (1561–1616) and Robert Hues (1553–1632). He even went to sea with Francis Drake, possibly on the circumnavigation of 1577–1580, as Ubaldini reports ‘He himself has been in those seas and on those coasts in the service of the same Drake’. In his Pathway to Perfect Sayling (1605) Richard Polter commented that Molyneux had been a skilful maker of compasses and hourglasses.

Molyneux and Wright conceived the idea of building globes to promote England’s maritime achievements and it is probable the John Davis introduced them to his patron the rich London merchant William Sanderson (? 1548–1638). The early voyages of exploration and discovery undertaken by English mariners were actually commercial endeavours undertaken in the hope of finding rewarding opportunities for trade. To undertake such voyages the mariners needed to find backers to finance them with the hope of sharing the  potential profits. Sanderson was one such backer. He was the leading sponsor of Davis’ voyage to search for the Northwest passage. He served for several years as a kind of financial manager for Walter Raleigh. Symbolically he named his first three sons Raleigh, Cavendish, and Drake. Sanderson took on Molyneux and Wright’s globe project providing £1,000 initial funding, the equivalent to more than £170,000 in 2017.

Molyneux’s large terrestrial globe National Trust Pentworth House via Wikimedia Commons

As can be seen above Molyneux was embedded in a group of mariners and mathematical practitioners, who cooperated with each other in their endeavours and it was not other with the production of his first terrestrial globe. He gathered information from the navigators and from the rutters, handbooks of written sailing directions, and pilots, navigational handbooks. Edward Wright helped with plotting coastlines and provided some of the Latin translations of the inscriptions. The globe contained the routes of circumnavigations of Drake in red and Cavendish in blue. 

After Molyneux had prepared the manuscript gores these were then engraved and printed by the Flemish engraver and printer Jodocus Hodius (1563–1612).

Jodocus Hondius on a 1619 engraving by his wife Colette van den Keere Source: Wikipedia Commons

Born in Wakken, a village in West Flanders, he grew up in Ghent where he began at the age of eight an apprenticeship as an engraver. In 1584 he fled to London because of religious difficulties in Flanders. In 1587, in London he married Colette van den Keere (1568–1629) the daughter of Hendrik van den Keere (c. 1540–1580), a punch cutter who worked for the printer-publisher Christophe Platin  (c.1520–1589) in Antwerp, and sister of Pieter van den Keere (c. 1571–c. 1646) engraver, publisher and globe maker, who did a lot of cartographical engraving whilst in England. The van den Kerre family had also fled to England around the same time for the same reason. Colette Hondius would later manage her husband’ business in the Netherlands. In England Hondius was particularly associated with publicising the work of Francis Drake. He also engraved charts for the The Mariner’s Mirrour (1588) the English translation of the Spieghel der zeevaerdt (1584) by the Dutch cartographer Lucas Janszoon Waghenaer (c. 1534–c. 1606), as did Augustine Ryther (fl. 1576–1593). The whole English and Dutch cartographical and navigational scene was wheels within wheels in the second half of the sixteenth century. 

Frontispiece of ‘The Mariner’s Mirror’ (1588) written by Lucas Jansz Waghenaer (1533-1606)

Molyneux made a matching celestial globe which was basically a copy of Mercator’s celestial globe of 1551, which was itself based on Gemma Frisius’ 1537 globe, which Mercator had also worked on. Molyneux added the constellations Southern Cross and Southern Triangle to his celestial globe, which he seems to have taken from the diagram of the Antarctic sky by the Italian explorer Andrea Corsali (1487–?) published in 1551.

Molyneux’s large celestial globe Middle Temple via Wikimedia Commons
Mercator’s 1551 celestial globe Source: Wikimedia Commons

In 1589, Richard Hakluyt announced the forthcoming publication of Molyneux’s terrestrial globe at the end of the preface to The Principall Navigations, Voiages and Discoveries of the English Nation. Referring to the map that was inserted into the volume—a reproduction of the “Typus Orbis Terrarum” engraved by Franciscus Hogenberg for Abraham Ortelius’ Orbis Terrarum (1570)—he wrote:

I have contented myselfe with inserting into the worke one of the best generall mappes of the world onely, untill the comming out of a very large and most exact terrestriall globe, collected and reformed according to the newest, secretest, and latest discoveries, both Spanish, Portugall and English, composed by Mr. Emmerie Molineux of Lambeth, a rare Gentleman in his profession, being therin for divers yeeres, greatly supported by the purse and liberalitie of the worshipfull merchant M. William Sanderson. (Wikipedia) 

Molyneux’s globes were the first globes that were not affected by humidity at sea. They were constructed out of flour-paste, as related by the notorious astrologer Simon Forman (1552–1611):

the only way to caste [anything] whatsoever in perfecte forme … and yt is the perfectest and trewest waie of all wayes … and this was the wai that Mullenax did use to cast flowere [flour] in the verie forme (Bodl. Oxf., MS Ashmole 1494, fol. 1491)[2]

Ubaldini’s letters to the Duke of Milan detail Molyneux’s progress on their construction: the first pair were presented to Queen Elizabeth at Greenwich in July 1592; another terrestrial globe was presented with entertainments at Sanderson’s house in Lambeth. The largest and most prestigious globes, bought by royalty, noblemen, and academic institutions, cost £20 each. One example of this first edition survives at Petworth House, Sussex, and a later one, dated 1603 and bearing the arms which had by then been conferred on Sanderson, is now preserved with its matching celestial globe in Middle Temple Library, London.[3]

Molyneux’s large globes were prestige objects for rich customers and patrons or potential patrons. However, he also made small globes for navigators and other mathematical printers that cost as little as £2 but of which none have survived. As was the common practice, to explain the globes, guides to the use where written and published. Molyneux wrote one, The Globes Celestial and Terrestrial Set Forth in Plano, which Sanderson published in 1592 but of which none have survived. Earlier in 1590, Thomas Hood (1556–1620), Mathematicall Lecturer to the Citie of London, had written and published his The Vse of Both the Globes, Celestiall and Terrestriall. In 1594, Thomas Blundeville (c. 1522–c. 1606) in his Exercises containing six treatises including Cosmography, Astronomy, Geography and Navigation in 1594. His third treatisewas as follows:

Item a plaine and full description of both the Globes, aswell Terrestriall as Celestiall, and all the chiefest and most necessary vses of the same, in the end whereof are set downe the chiefest vses of the Ephemerides of Iohannes Stadius, and of certaine necessarie Tables therein con∣tained for the better finding out of the true place of the Sunne and Moone, and of all the rest of the Planets vpon the Celestiall Globe.

A plaine description of the two globes of Mercator, that is to say, of the Terrestriall Globe, and of the Celestiall Globe, and of either of them, together with the most necessary vses thereof, and first of the Terrestriall Globe, written by M. Blundeuill. 

This ends with A briefe description of the two great Globes lately set forth first by M. Sanderson, and the by M. Molineux.

The first voyage of Sir Francis Drake by sea vnto the West and East Indies both outward and homeward.

The voyage of M. Candish vntothe West and East Indies, described on the Terrestriall Globe by blew line.

Also published in 1594 was Richard Hues’ Tractatus de Globis et Eorum Usu (Treatise on Globes and their Use), which went into at least 13 printings and was translated from Latin into Dutch, English and French. Edward Wright’s Certaine Errors in Navigation, published in 1599, included commentary on the use of the terrestrial and celestial globes developed by Molyneux.

Molyneux changed tracks in the 1590s and sought Elizabeth I’s patronage for the production of a new type of cannon. On 27 September 1594, the Queen granted Molyneux a gift of £200 and an annuity of £50. He chose to surrender the latter when, sometime between March or April 1596 and 4 June 1597, he and his wife Anne emigrated toAmsterdam in the Netherlands. It seems that he wanted to distribute his globes to other European princes and Amsterdam, which was fast becoming the centre for globe and map-making, served this purpose better. Either Molyneux or Hondius, who had returned tom the Netherlands in 1594, took the printing plates for the globe with them. 

The States General of the Netherlands showed more interest in Molyneux’s proposed cannon, granting him a twelve year privilege on a similar invention on 26 January 1598. On 6 June Molyneux lodged a second application, but he died in Amsterdam almost immediately afterwards.

On 1 April 1597, Hondius was granted a ten-year privilege to produce a terrestrial globe. In the same year he produced a Dutch translation of Hues’ Tractatus de Globis et Eorum Usu.

Despite a legal challenge by Jacob van Langren (c. 1525–1610), a cartographer and globe maker, who had been producing  both terrestrial and celestial globes, together with his son Arnold, from about 1586 and who had been granted a monopoly by the States General in 1592, Hondius was granted another ten-year privilege on 31 October 1598. Hondius and  his major competitor Willem Janszoon Blaeu (1571–1638), and their families would go on to turn Amsterdam into Europe’s major centre for cartography and globe production in the seventeenth century.

The Molyneux globes caused quite a cultural and social stir in Elizabethan England towards the end of the sixteenth century but following his departure from London and subsequent death, nobody took up the task of continuing to provide, the obviously in demand, printed globes for the practical mathematical community. It would be about sixty years before another craftsman took up the challenge of providing printed terrestrial and celestial globes in England.


[1] This post is largely taken from Susan B. Maxwell, Molyneux, Emery (d. 1598), ODNB, Print 23 September 2004, Online 23 September 2004, This version 03 January 2008 and the Wikipedia article which is itself largely taken from Maxwell or directly from her sources.

[2] Maxwell Note 1

[3] Maxwell Note 1

3 Comments

Filed under History of Astronomy, History of cosmography, History of Navigation, Renaissance Science, Uncategorized

From τὰ φυσικά (ta physika) to physics – LII

Many people who write extensively about René Descartes concentrate almost exclusively on his philosophy and his hyped up, supposed role as the father of modern philosophy. However, he wrote extensively about a wide spectrum of scientific topics, including mathematics, optics, physics, and astronomy. I have already written about his mathematics and his optics and will now turn my attention to his astronomy and physics. 

Quite why those who write extensively and favourably about Descartes’ philosophy often ignore his physics and astronomy, which were intimately linked, is not clear to me. Maybe, because it is as Knowles Middleton put it in the quote I brought in the last episode in this series, “René Descartes (1596–1650), a very great philosopher, most of whose ideas about physics have turned out to be wrong.  Or perhaps because Christiaan Huygens (1629–1695) and Isaac Newton (1642–1727) showed it to be wrong less that fifty years after his ideas were published. The latter reason would be mistaken as Huygens regarded himself as a Cartesian and Newton first took Descartes as a role model, when developing his own physics and astronomy only to then reject and refute his work during that development. It should also not be forgotten that following the publication of Newton’s Principia in 1687 the progress of physics and astronomy was dominated by a heated exchange  between the Cartesians and the Newtonians that only finally died away in the middle of the eighteenth century. 

Following his initial meeting with Isaac Beeckman (1588–1637), when he was in the Netherlands to train as a military engineer in 1618, and when Descartes first became a convinced proponent of the corpuscular mechanical philosophy, Descartes left the Netherlands in 1619 join the army of Maximilian I of Bavaria (1573–1651)to take part in the Thirty Years War. It was here that in the winter of 1619 he had his infamous dream. During 1619-1620, he began to write the first version of methodology his Regulae ad directionem ingenii (Rules for the direction of the Mind), a text that he would continue to write on and off until 1628 but was only published posthumously in 1684.

Between 1621 and 1625, Descartes went walkabout travelling all over but returning often to Paris where he sold a house he had inherited and invested the money, giving him an income for life. It was probably during this period that he first made the acquaintance of Marin Mersenne (1588–1648), who would remain an important sounding post for most of his life. From 1625 to 1628, Descartes remained in Paris working on his Regulae and on his optics.

In 1629, Descartes returned to the Netherlands and began working on an ambitious philosophical scientific description of the entire world, meaning not only the Earth but the whole cosmos, entitled appropriately Le monde, ou Traité de la lumière when it finally appeared in a posthumous publication in 1664.

He had finished this major presentation of his philosophical and scientific thoughts in 1633 and was planning publication, when news came through of Galileo’s trial and conviction for vehement suspicion of heresy for having breached the Church injunction from 1616, ‘not to hold or teach the Copernican opinion,’ that is to present the heliocentric hypothesis as proven fact. Descartes’ Le monde was heliocentric and so he withdrew it from publication. Parts of this work would see the light of day in Descartes, Discours de la méthode, his La Dioptrique, and his Les Météores, all published together in 1637. The full content of the original work is as follows:

  1. On the Difference Between our Sensations and the Things That Produce Them
  2. In What the Heat and Light of Fire Consists
  3. On Hardness and Liquidity
  4. On the Void, and How it Happens that Our Senses Are Not Aware of Certain Bodies
  5. On the Number of Elements and on Their Qualities
  6. Description of a New World, and on the Qualities of the Matter of Which it is Composed
  7. On the Laws of Nature of this New World
  8. On the Formation of the Sun and the Stars of the New World
  9. On the Origin and the Course of the Planets and Comets in General; and of Comets in Particular
  10. On the Planets in General, and in Particular on the Earth and Moon
  11. On Weight
  12. On the Ebb and Flow of the Sea
  13. On Light
  14. On the Properties of Light
  15. That the Face of the Heaven of That New World Must Appear to Its Inhabitants Completely like That of Our World

The physics, which it contained, would first reappear in his Principia Philosophiae (Principles of Philosophy), a textbook designed to replace Aristotelian textbooks, first published in Latin in 1644 and in French as Les Principes de la Philosophie in 1647.

The book is divided into four parts:

  • Part I. – of the Principles of Human Existence
  • Part II. – of the Principles of Material Things
  • Part III. – of the Visible World
  • Part IV. – of the Earth.

The first part is the philosophy on which everything is constructed, his methodology. Descartes actually strongly criticised Galileo because he doesn’t have an explicitly stated, governing philosophy. Interestingly, he also states that the laws of nature are governed by God. The second part is his mechanics, which would go on to have a major influence. The third part deals with his cosmology and the fourth and final part with his general science.

There are a couple of fundamental principles that dominate Descartes mechanics, which we also met in the last episode when discussing his optics. Descartes had acquired the corpuscular mechanical philosophy from his studies with Isaac Beeckman but unlike Beeckman, Descartes rejected the existence of a void. 

He regarded space as completely filled with perfectly rigid particles of various sizes and shapes. Those of the “third element,” or ordinary matter, are the grossest and have an arbitrary shape. Those of the “second element, “ or “subtle matter,” are round and they fill as much as they can of the space between the former particles. Those of the “first element” are arbitrarily  small and they fill the remaining interstices; they are scrapings (raclure) generated during the production of the balls of the second element by mutual attrition of rotating particles; in the process they acquired an intense agitation.[1]

For Descartes motion could only take place through direct contact. To begin, he considers motion but his concept of motion is not very clearly defined. In Le monde he defined it in terms of change of place but in his Principia he defined it in terms of change with repect to surrounding bodies. He set out three laws of motion: 

The first law of motion:

Each and every thing, in so far as it can, always continues in its same state. There are two states relevant to motion: the state of motion and the state of rest. So, each thing always continues to move when it is moving and to be at rest when it is at rest. This natural tendency to preserve the present state can be overcome by external causes.

The second law of motion:

 All motion is in itself rectilinear. The natural tendency of a body to move in a straight line can be overcome by external causes. At any point in time, a body will continue to move along the straight line in which it has been moving.

Combined Descartes’ first two laws constitute Newtons first law, known as the law or principle of inertia:

Law 1 Every body perseveres in its state of being at rest or of moving uniformly straight forward except insofar as it is compelled to change its state by forces impressed.[2]

Here Descartes deviates from his predecessors. For Beeckman both rectilinear and circular motion are natural and fall under his principle of inertia. Galileo in his proto-principle of inertia thought that only circular motion was natural. Descartes adds:

…bodies which are moving in a circle always tend to move away from the centre of the circle, which they are describing. 

Descartes illustrates his concept of circular motion by describing the sling:

Descartes explanation of circular motions contains three elements, the motion in a circle, the motion of the stone striving away from the hand (a centrifugal force), and the tendence for the stone to fly off at a tangent. This model in the hand of Christiaan Huygens and Isaac Newton would lead to Newton’s description of the orbit of the planets.

The third law of motion:

If a body collides with another body that is stronger than itself, it loses none of its motion. If it collides with a weaker body, it loses a quantity of motion equal to that which it imparts to the other body.

All three laws were already presented in Le monde. In his Principia Philosophiae Descartes adds seven rules of colision for solid bodies to the third law of motion. 

Rule 1 states that if two bodies B and C are exactly equal and move at equal and opposite speeds, after the impact they will rebound with equal and opposite speeds.

Rule 2, with reference to Rule 1, states if B is larger that C and all other conditions are unchanged. The outcome is that C is reflected with the same speed, and B continues its motion as if no impact had taken place. Then they both move with the same speed in the same direction after impact. 

Rule 3 considers the case in which B and C are equal and the speed of B is greater than that of C. After the impact they move together in the direction of B with a speed that is the average of their speeds before the impact.

Rule 4 claims that if C at rest is larger than the incoming B, regardless of B’s speed, after the impact C does not move and B rebounds with equal speed. 

Rule 5 Considers the case in which C, initially at rest, is smaller than B. After the impact they move in the same direction with a speed equal to Bv / (B + C), where v is B’s speed before the impact. 

Rule 6, with reference to Rule 5, B and C are equal. After the impact B is reflected with three-quarters of its speed, whereas C moves in B#s initial direction with one-quarter of B’s speed.

Rule 7 deals with bodies moving in the same direction C more slowly and B faster. In case 7.1, if B is larger that C and the product Bv is greater that the product CvC before the collision, then after the collision both bodies move together with  speed (BvB + CvC)/(B +C). In case 7.2, if B is smaller that C and the product BvB is less than the product CvC before the collision, then after the collision B is reflected with the same speed and and C’s speed and direction are unchanged.[3]

In Principia claimed that these are self evident rules providing no justification for them,  and in correspondence after 1644 he offerred the following general principle: 

“when two bodies having incompatible modes collide, there must be some change to render them compatible, but … this change is always the least possible.”  

Not exactly illuminating!

We now turn our attention to Descartes cosmology and his famous vortexes. From his philosophical writings it is well known that Descarters was deeply religious and offered up various proofs for the existance of God so, it comes as no surprise that his cosmology is that of a creationist. Descatres rejects the void so the plenum is full of matter:

God first partitioned the plenum into equal-sized portions, and then placed the bodies into various circular motions that, ultimately formed the three elements of matter and the vortex system.[4]

Descartes’ model of the Universe, 1668. Descartes’ Universe showing how matter which filled it was collected in vortices with a star at the centre of each, often orbiting planets. From Epistolae by Rene Descartes. (Elzevir, Amsterdam, 1668).

The plenum is full of particles so bodies, such as the planet, cannot pass through them but are stationary on the rim of a vortex and carried round with it, as in his example with the stone in the sling.

“It has been shown…that all places are full of bodies…. From this it follows that no body can move except in a complete circle of matter or ring of bodies which all move at the same time” (Principia II 33).

He also tries to explain the tides with his vortex theory:

Because it was a mechanical theory in which all motion was explained by direct contact Descartes theory, although totally speculative and without empirical or mathematical support, was prefered to Newton’s later theory which involved occult forces in his action at a distance. It would take until the middle of the eighteenth century before Newton’s occult forces completely deposed Descates’ vortices.


[1] Olivier Darrigol, A History of OpticsFrom Greek Antiquity to the Nineteenth Century, OUP, 2012, p. 39

[2] Isaac Newton, The Principia: Mathematical Principles of Natural Philosophy, A New Translation by I. Bernard Cohen and Anne Whitman assisted by Julia Budenz, Preceded by A Guide to Newton’s Principia by I. Bernard Cohen, University of California Press, 1999, p. 416.

[3] Taken from Domenico Bertoloni Meli, Thinking with Objects: The Transformation of Mechanics in the Seventeenth century, The John Hopkins University Press, 2006, pp. 153-153

[4] Slowik, Edward, “Descartes’ Physics”The Stanford Encyclopedia of Philosophy(Winter 2023 Edition), Edward N. Zalta & Uri Nodelman (eds.)

13 Comments

Filed under History of Astronomy, History of cosmography, History of Physics

A Promoter of Empire

When European sailing ships set out to traverse the world’s oceans in the Early Modern Period, they set out on endeavours that were both extremely costly and ladened with immense risks. Let us just consider the infamous first circumnavigation of Ferdinand Magellan (c. 1480–1521), which took place 20 September 1519 and 6 September 1522. Magellan set out with five ships and about two hundred and seventy mariners. Only one ship returned crewed by just nineteen survivors, Magellan himself was not one of them.

Victoria, the sole ship of Magellan’s fleet to complete the circumnavigation. Detail from a map by Abraham Ortelius, 1590. Source: Wikimedia Commons

People talk about the age of discovery but a better term would be age of exploitation. Finding new lands, until then comparatively unknown to Europeans, was only a secondary aim of these voyages, their primary aim was commerce. The expeditions were searching for commodities with which they could make a fortune for themselves and their investors. Metal ores–gold, silver, copper–fine materials such as silk, and above all spices. The expeditions of Vasco da Gama (c. 1460s–1524), Christopher Colombus (1541–1506), and Magellan were all about breaking the Arabic hold on the overland spice trade between Asia and Europe. The later multiple searches for a North-East or North-West passage were about finding a shorter, more direct trade route between Europe and Asia. 

These commercial expeditions needed both political and financial support, which meant promotion on multiple levels to sell the ideas to potential backers. Probably the most avid promotor of the idea that England should send expeditions to North America and establish colonies, as the start of an English Empire was the geographer, Richard Hakluyt (1552?–1616).

Hakluyt depicted in stained glass in the west window of the south transept of Bristol Cathedral – Charles Eamer Kempe, c. 1905 Source: Wikimedia Commons

John Dee (1527–c. 1609) had already promoted the idea of a British Empire in his 1570 manuscript Brytannicae reipublicae synopsis, pushing the idea of English colonies particularly in North America in his General and Rare Memorials pertayning to the Perfect Arte of Navigation (1576) with the support of some very mythical history but Hakluyt took the idea to a whole new level. 

Portrait of John Dee, artist unknown Source: Wikimedia Commons

Richard Hakluyt was born in Eyton in Herefordshire the second of four sons and two daughters of Richard Hakluyt, a member of the Worshipful Company of Skinners, and his wife Margery. His father died in 1557 and his mother shortly after. His cousin, another Richard Hakluyt, a lawyer, (d. 1591) became his guardian. The Hakluyt family was a long establish Herefordshire family and the name is thought to come from Welsh. He was educated at Westminster School (queen’s scholar, 1564) and Christ Church College, Oxford, with the financial support of the Skinners Company, graduating BA in 1574 and MA in 1577. He was ordained a priest by late 1580 and was a fellow of Christ Church until 1586, when he obtained a prebend at Bristol Cathedral. 

He seemed destined for a typical upper-class career in the clergy and although he progressed from one Church appointment to another, a private passion he developed in his youth determined his central role in life, as what we would probably now term a travel writer. This passion was awoken by a visit to his cousin, who as a lawyer was heavily involved in overseas trading and collected maps, charts, and travel writing. Young Richard was curious about ‘certeine bookes of cosmographie, with an universall mappe’ on his table. The older Richard pointing to the ‘seas … empires … and territories’ on the map, he spoke of ‘their speciall commodities, & particular wants, which by the benefit of traffike, & entercourse of merchants, are plentifully supplied’, and then directed the young Hakluyt to a  Bible and  Psalm 107:

where I read, that they which go downe to the sea in ships, and occupy by the great waters, they see the works of the Lord, and his woonders in the deepe, &c. Which words of the Prophet together with my cousins discourse (things of high and rare delight to my yong nature) tooke in me so deepe an impression, that I constantly resolved, if ever I were preferred to the University … I would by Gods assistance prosecute that knowledge and kinde of literature.[1]

Hakluyt had already begun to follow his passion at university, as he tells us in the dedication to Sir Francis Walsingham (c. 1532–1590), principle secretary to Elizabeth I (1533–1603), popularly known as her spy master, of his major work The Principle Navigation (1589), of which more later, “his exercises of duty first performed,” he set out to read all the printed or written voyages and discoveries that he could find. Having acquired his M.A. he began to lecture publicly on geography. He was the first to show “both the old imperfectly composed and the new lately reformed mappes, globes, spheares, and other instruments of this art.”

Portrait of Sir Francis Walsingham attributed to John de Critz Source: Wikimedia Commons

Following his ordination in 1578, Hakluyt received a pension from the Worshipful Company of Clothworkers to study divinity. His pension would have lapsed in 1583, but William Cecil, 1st Baron Burghley (1520–1598), chief advisor to Queen Elizabeth, intervened to have it extended until 1586 to aid Hakluyt’s geographical research. As can be seen, Hakluyt had support from the highest levels in his endeavours to research the sixteenth century world of geographical discoveries. 

Portrait of William Cecil, 1st Baron Burghley attributed to Marcus Gheeraerts the Younger Source: Wikimedia Commons

Burghley’ intervention was probably prompted by the publication in 1562 of, the first in a long line of accounts of voyages of exploration and discovery by Hakluyt over his lifetime, his Divers Voyages Touching the Discoverie of America and the Ilands Adjacent unto the Same, Made First of all by our Englishmen and Afterwards by the Frenchmen and Britons With Two Mappes Annexed Hereunto published in London by Thomas Woodcocke and dedicated to the poet, courtier, scholar and soldier, Phillip Sydney (1554–1586) another influential member of Elizabeth’s court, and son-in-law of Sir Francis Walsingham, who was knighted 1583 the year of his marriage.

Source:
As illustrations, Hakluyt provided two maps. The first is the world map made secretly in Spain in 1527 by Robert Thorne. It shows the Spice Islands in the control of Spain and improves the shape of South America from its depiction in other world maps of the 1520s. The second map is by Michael Lok and is a sectional projection of 160 degrees at the Tropic of Cancer, extending from California in the west to North Africa in the east. It is one of the very first maps to be centered on North America. 

The book is encyclopaedic in its range of topics and opens with a two page list of “The names certaine late writers of geographie with the yeare wherein they wrote.” Which includes amongst others such well-known names as John Mandeville, Gemma Frisius, Sebastian Munster, Oronce Fine, Abraham Ortelius, and Humfrey Gilbert. This is followed by two pages of “The names of certaine late trauaylers, both by sea and by lande, which also for the most part haue written of their own trauyles and voyages,”  which includes amongst others John Mandeville, Christopher Columbus, Sebastian Cabot, Vasco de Gama, Ferdinand Magellan, Stephan and William Burough, Marin Frobisher, Francis Drake, and Humfrey Gilbert. It is very obvious that Hakluyt has done quite a lot of research for his book that he almost certainly started during his studies at university.

The book attracted the attention of Charles Howard, 1st Earl of Nottingham, 2nd Baron of Effingham (c. 1510–1573), a diplomat and soldier, who became Lord High Admiral in 1585, and his brother in law Sir Edward Stafford (1552–1605), who became ambassador to the Franch court in Paris. Hakluyt was appointed Stafford’s secretary and chaplain and travelled with him to Paris in 1583, where he would remain for five years. During his years in Paris Hakluyt was commissioned by Walsingham to obtain intelligence on the marine activities of France, Portugal, and Spain. 

In 1584, Walter Raleigh (c. 1553–1618) commissioned him to write, A Particuler Discourse Concerninge the Greate Necessitie and Manifolde Commodyties That Are Like to Growe to This Realme of Englande by the Westerne Discoueries Lately Attempted, Written in the Yere 1584, which was dedicated to Queen Elizabeth. This work was not published but Hakluyt travelled back to England and presented a copy of the manuscript to the Queen, as part of Raleigh’s campaign to gain royal support for his plans to create an English colony in North America. 

Portrait of Sir Walter Raleigh artist unknown Source: Wikimedia Commons

During his years in Paris, Hakluyt mostly produced translations and compilations of travel reports by French and Spanish authors to which he added his own dedication and prefaces. Notable amongst these was L’histoire notable de la Floride située ès Indes Occidentales by Rene Goulaine de Laudonnière (c. 1529–1574) published in Paris in 1586. Hakluyt’s translation A Notable Historie Containing Foure Voyages Made by Certayne French Captaynes unto Florida, which he dedicated to Walter Raleigh, was published in London in 1587. In the same year he published in Paris an edition of De Orbe Nouo Decades Octo (Decades of the New World) by the Italian historian working in Spain Pietro Martire d’Anghiera (1457–1526). 

Cartographie des Amériques dans l’édition anglaise de l’œuvre De Orbe Novo,… decades octo… annotationibus illustratae suoque nitori restitutae de Pietro Martire d’ Anghiera (Petri Martyris Anglerii). Publié par Richardi Hakluyti, Guillaume Auvray. Source: Wikimedia Commons

Hakluyt returned to England in 1588 in the company of Sir Edward Stafford’s wife Douglas Sheffield, Baroness Sheffield (née Howard, 1542–1608), daughter of William Howard, 1st Baron of Effingham and sister of Charles Howard, 1st Earl of Nottingham, 2nd Baron of Effingham, Lord High Admiral. Douglas Lady Sheffield was the mother of Sir Robert Dudley (1574–1649), the illegitimate son of Robert Dudley, 1st Earl of Leicester, who will feature in the next post in this series. 

Source: Wikimedia Commons Robert Dudley claimed they never married Source: Wikimedia Commons

Over the next thirty plus years Hakluyt continued  to receive preferments and prebends in the Anglican Church, which I’m not going to go into in detail. Suffice it to say, it was well taken care of by his patrons.

Upon his return to England, he published the first edition of the work for which he is most well-known:

The principall navigations, voiages, and discoveries of the English nations [microform] : made by sea or over land to the most remote and farthest distant quarters of the earth at any time within the compasse of these 1500 years : divided into three several parts according to the positions of the regions whereunto they were directed; the first containing the personall travels of the English unto Indæa, Syria, Arabia … the second, comprehending the worthy discoveries of the English towards the north and northeast by sea, as of Lapland … the third and last, including the English valiant attempts in searching almost all the corners of the vaste and new world of America … whereunto is added the last most renowned English navigation round about the whole globe of the earth 1589 London : Imprinted at London by George Bishop and Ralph Newberie, deputies to Christopher Barker, printer to the Queen’s Most Excellent Majestie. This work was dedicated to Sir Francis Walsingham, as already noted above. 

The title page of the first edition of Hakluyt’s The Principall Navigations, Voiages, and Discoveries of the English Nation (1589) Source Wikimedia Commons

Two further volumes of this monumental work were published in 1599 and 1600. The second and third volumes were dedicated to his then patron Robert Cecil, 1st Earl of Salisbury (1563–1612) the younger son of William Cecil, 1st Baron Burghley, who inherited much of his father’s power on the royal court. In his dedication he urged Robert Cecil to support the founding of a colony in Virginnia. 

Portrait of Robert Cecil, 1st Earl of Salisbury attributed to Joh de Critz Source: Wikimedia Commons

Hakluyt’s Principle Navigations is truly a monumental piece of English literature, all three volumes running to over 1,760,000 words in three folio volumes and about two thousand pages.. As a piece of historical English literary culture, it is on a level with Chaucer and Shakespeare but unlike them the work is only known to a small handful of expert historians. The Victorian polemical historian, novelist and biographer James Anthony Froude (1818–1894) described it as “the Prose Epic of the modern English nation.” The work has seen several whole or partial reprints including a twelve volume edition put out by the Hakluyt Society (1903–1905). A new multi-volume is currently in preparation by the Hakluyt Society.

As well as its accounts of voyages the end of the preface in the first volume contained the first announcement of the forthcoming publication of the terrestrial globe of Emery Molyneux (died 1598), the first such globe made in England. Referring to the map that was inserted into the volume—a reproduction of the “Typus Orbis Terrarum” engraved by Franciscus Hogenberg (1535–1590)for Abraham Ortelius’ Theatrum OrbisTerrarum (1570)—he wrote:

I have contented myselfe with inserting into the worke one of the best generall mappes of the world onely, untill the comming out of a very large and most exact terrestriall globe, collected and reformed according to the newest, secretest, and latest discoveries, both Spanish, Portugall and English, composed by Mr. Emmerie Molineux of Lambeth, a rare Gentleman in his profession, being therin for divers yeeres, greatly supported by the purse and liberalitie of the worshipfull merchant M. William Sanderson.

Emery Molyneux Terrestrial Globe
Abraham Ortelius 1570 Typus Orbis Terrarum Source: Wikimedia Commons

The second volume contained a new original world map, the Molineux-Wright world map. Based on the globe created by Emery Molineux (also spelled Molyneux) in 1592, it used Mercator’s projection to create the most scientifically advanced map of that time. Historians believe that Hakluyt asked Molineux himself to draw the map, and that navigator John Davis (1550–1606) also worked on it. Unlike many earlier maps, the Molineux-Wright map did not contain fancy illustrations or drawings of places that Europeans had not yet explored.(Elizabethan World Reference Library) 

Molyneux-Wright Mercator Projection world map Source

As far as possible Hakluyt edits first hand accounts of the voyages if available. The third volume, which covers the voyages to America, includes the first hand accounts of Jacques Cartier (1491–1557), Sir John Hawkins (1532–1595), Sir Francis Drake (c. 1540–1596), Sir Matin Frobisher (c. 1535–1594), John Davis (c. 1550–1620), Thomas Cavendish (1560–1592), Sir Walter Raleigh (c. 1553–1618), and the circumnavigations of Drake and Cavendish. His accounts of contemporaries such as Drake, Raleigh, Cavendish and Frobisher were also supported by personal interviews. 

Hakluyt not only promoted the concept of English colonies in his writings but was actively involved in the various organisations and societies dedicated to establishing them. He was a director of the  Virginia Company in 1589 and later a patentee of the new Virginia Company in 1606. He was granted the prospective living of Jamestown the intended capitol of the planned colony and supplied the colony with its chaplain, Robert Hunt (c. 1568–1608) in 1607. Hunt died in Jamestown in 1608. Hakluyt was also a charter member of the North-West Passage Company and from the very beginning in 1599 acted as a consultant to the East India Company. 

In the early seventeenth century Hakluyt continued his translation activities with  an English translation of the Marie Liberum (1609) of the Dutch jurist Higo Grotius (1583–1645), in which Grotius argued that the Dutch had the right to trade freely in the East Indies contrary to Spanish and Portuguese claims to sovereignty over the seas based on the Treaty of Tordesillias from 1494. Grotius’s argument applied equally well to English maritime endeavours. Hakluyt also translated the accounts of his exploration of Florida by the Spanish mariner Hernando de Soto (1497–1542) as Virginia Richly Valued, by the Description of the Maine Land of Florida, Her Next Neighbour (1609).

Through his publications and his lobbying of those in power, Richard Hakluyt contributed as much to the increasing dynamic of England’s entrance into the world of oceanic, maritime exploration as the mariners themselves and the authors of books on navigation. 


[1] Anthony Payne, Hakluyt, Richard (1552?–1616), ODNB

4 Comments

Filed under History of Cartography, History of cosmography, History of Navigation

From τὰ φυσικά (ta physika) to physics – XLII

As already mentioned, in the last episode in this series, mathematics did not in general play a significant role in the medieval, European universities. At best lip service was paid to the quadrivium–arithmetic, geometry, music, astronomy–in the undergraduate courses but very little beyond that. Its status can be measured in the distribution of courses amongst those qualified to teach, those with a magister. Some courses were taken by specialists but the majority of courses were distributed by drawing lots. Drawing mathematics was the equivalent of drawing the short straw. 

Outside of the universities the situation was somewhat different with professional mathematicians being employed on the courts of aristocrats and rulers. Their principal function was usually court astrologer but they also charged with other functions, designing and building sundials, for example. Their status was fairly low and they were regarded as craftsmen and not as academics. For example, Nicolas Kratzer (1487–c. 1550), devisor of the King’s horologes for Henry VIII, was  paid £5 a quarter, which was less than the king’s falconer. 

Nicolas Kratzer Portrait by Hans Holbein the younger Source: Wikimedia Commons

Nicolas Kratzer was what is know as a mathematical practitioner and he actually lived and worked in a period when the status of mathematical practitioners was rapidly changing for the better. This change was gradual and accumulative beginning in the middle of the fifteen century and continuing up to the beginning of the seventeenth century and beyond. 

The change in the status of the mathematical practitioners began with the so-called First Viennese School of Mathematics, in the middle of the fifteenth century– Johannes von Gmunden (c. 1380–1442),

Initial from British Library manuscript Add. 24071 Canones de practica et utilitatibus tabularum by Johannes von Gmunden written 1437/38 by his student Georg Prunner Possibly a portrait of Johannes Source: Johannes von Gmunden (ca. 1384–1442) Astronom und Mathematiker Hg. Rudolf Simek und Kathrin Chlench, Studia Medievalia Septentrionalia 12

Georg von Peuerbach (1423–1461) Johannes Regiomontanus  (1436–1476)–who reestablished the study of Ptolemaic, mathematical astronomy in Europe, and in the case of Peuerbach and Regiomontanus made efforts to reform it, as I have documented elsewhere.

Frontispiece of ‘Epitome in Ptolemaei Almagestum’ by Peuerbach (1423–1461 & Regiomontanus (1436-1476) a mathematician and astronomer, showing using an astrolabe. Dated 15th Century. (Photo by: Universal History Archive/ UIG via Getty Images)

They stood at the beginning of almost two centuries of effort to reform mathematical astronomy, which included Copernicus (1473–1543) and culminated in the work of Johannes Kepler (1571–1630), who as I stated in the last episode firmly established mathematical astronomy as a description of reality and not just a method of calculation celestial events. Along the way many minor figures were employed as court astronomer-astrologers, as indeed were Peuerbach, Regiomontanus, and Kepler, calculating astronomical tables, casting horoscopes, as well as designing and making new scientific instruments. Still regarded as craftsmen and not academics but with a higher status than their earlier medieval colleagues. 

Mathematics and astronomy received another major boost, in the sixteenth century, through the Renaissance Humanist adoption of astro-medicine, or to give it its correct name iatromathematics (health mathematics). To do astrology you need astronomy, and to do astronomy you need mathematics, the led to the establishment, for the first time, of chairs for mathematics on the European universities, beginning on the humanists universities of Northern Italy and Krakow in Poland.

Ptolemaeus (fl. 150 CE) also stood patron for a second element in the evolution of the Renaissance mathematicus or mathematical practitioner with his Geōgraphikḕ Hyphḗgēsis, which became known in Latin as either the Geographia or Cosmographia. Re-entering Europe first in 1406, through the translation from the Greek by Jacopo d’Angelo, also (c. 1360–1411), better known by his Latin name, Jacobus Angelus, it reintroduced mathematical cartography, which had become lost during the medieval period.

A Byzantine Greek world map according to Ptolemy’s first (conic) projection. From Codex Vaticanus Urbinas Graecus 82, Constantinople c. 1300. Source: Wikimedia Commons

Medieval maps were what is known as philosophical maps, depicting a world view rather than geographical accuracy. Most well known are the medieval mappa mundi, which represent the Chistian view of a world centred on Jerusalem with the Garden of Eden in the east at the top of the map. 

Psalter world map, ca. 1260 British Library via Wikimedia Commons

The reemergence of Ptolemaeus’ book introduced a whole new concept of cartography into Renaissance Europe, one that required mathematics and used astronomy to determine latitude and longitude. The mathematical practitioner now became both an astronomer and a cartographer. As time progressed the demand for mathematical cartography increased as politics, for the time modern warfare, and long distance trade demanded more accurate maps. The demand for more accurate maps drove a demand for better methods of surveying. A demand that was fulfilled when Gemma Frisius (1508–1555) published his pamphlet on triangulation, Libellus de locorum describendum ratione (Booklet concerning a way of describing places), published as an appendix to the third edition of Peter Apian’s Cosmographia in 1533, which he edited

A new element was added to the area of competence required of the mathematical practitioner as the mariners of the Iberian peninsular began to sail out of the Mediterranean into the Atlantic Ocean. To begin with step by step down the coast of Africa until in 1488, Bartolomeu Dias (c. 1450–1500) rounded the southern tip of the continent.

An illustration of the two caravels used by Dias (São Cristóvão and São Pantaleão) to cross the Cape of Good Hope in 1488. Source: Wikimedia Commons

In 1492, Colombus (1541–1506) crossed the Atlantic and became the first European to explore the Caribbean islands of Middle America.

First voyage (conjectural). Modern place names in black, Columbus’s place names in blue Source: Wikimedia Commons

In 1497, Vasco da Gama  (c. 1460–1524) followed Dias’s route around the southern tip of Africa, sailed up the east coast then crossed the India Ocean to India. All of this activity opened up the European age of maritime exploration, which in turn created a demand for developments in the field of navigation.

The route followed in Vasco da Gama’s first voyage (1497–1499) Source: Wikimedia Commons

Da Gama would never have reached India if he hadn’t employed Arabic navigators in East Africa, who were more knowledgeable and more skilled than their European counterparts.

As well as improving European skill in deep sea navigation, the mathematical practitioners were also required to produce improvements in maritime charts. Mathematical charts, the so-called portolan charts, had existed for the Mediterranean since the thirteenth century and initially this method of chart production was extended to the Atlantic.

A portolan nautical chart of the Mediterranean, second quarter of the 14th century. Kept in the Library of Congress, where it is the oldest original cartographic artefact. Source: Wikimedia Commons

However, the portolan charts were based on a plane chart map projection, which assumes that the earth is flat. This is not a problem for a comparatively small area, such as the Mediterranean, but over a large area such as the Atlantic, the earth’s curvature creates a problem for plane chart projection.  

The Cantino planisphere, made by an anonymous cartographer in 1502, shows the world as it was understood by Europeans after their great explorations at the end of the fifteenth century. Source: Wikimedia Commons

Another area in the Early Modern Period that required the abilities of the mathematical practitioners was the development of field artillery in warfare.

The first Western image of a battle with cannon: the siege of Orléans in 1429 Source: Wikimedia Commons

Field artillery only began to be used extensively in Europe in the sixteenth century and its use provided two areas of activity for mathematical practitioners. On the one side the optimal use of the artillery piece, what we now call the science of ballistics and on the other the architectural design or better said redesign of defensive walls to best stand up to artillery bombardment. Flat walls were great against bows and arrows but vulnerable to cannon balls. They also restricted fields of fire from within fortification.

The star fort, also known as the bastion fort, trace italienne, or renaissance fortress, was a style of fortification that became popular in Europe during the 16th century. The bastion and star fort was developed in Italy, where the Florentine engineer Giuliano da Sangallo (1445–1516) compiled a comprehensive defensive plan using the geometric bastion and full trace italienne that became widespread in Europe.
The main distinguishing features of the star fort were its angle bastions, each placed to support their neighbor with lethal crossfire, covering all angles, making them extremely difficult to engage with and attack. Angle bastions consisted of two faces and two flanks. Artillery positions positioned at the flanks could fire parallel into the opposite bastion’s line of fire, thus providing two lines of cover fire against an armed assault on the wall, and preventing mining parties from finding refuge. Meanwhile, artillery positioned on the bastion platform could fire frontally from the two faces, also providing overlapping fire with the opposite bastion. Overlapping mutually supporting defensive fire was the greatest advantage enjoyed by the star fort. As a result, sieges lasted longer and became more difficult affairs. By the 1530s the bastion fort had become the dominant defensive structure in Italy (Wikipedia)

In the sixteenth century mathematical practitioners were responsible for astrology-astronomy, cartography, surveying, navigation, ballistics and architecture, all areas that increased in importance as the century progressed. They were engaged in solving mathematically real world problems, which had a high level of social, political, and cultural significance. They were also involved in designing and making new mathematical instruments to be applied in those areas. Aristotle’s philosophical dismissal of mathematics had been very substantially undermined by the simple mechanicals, as the mathematical practitioners were often referred to. 

Of course, not a mathematical practitioners engaged in all of the areas that I  have sketched above. There were regional differences and areas where one or other of the activities were concentrated. The seafaring nations, Spain, Portugal, France, The Netherlands, and England all took a strong interest in the development of navigation and the development of the marine chart. The first four all developed official centres for the study and teaching of navigation, England never really did. They also collected new cartographical information from their exploratory mariners, incorporating that information into their charts for the next voyages. 

On a completely different tack, the artist-engineers of Norther Italy, of whom Leonardo is the most notorious, can be counted amongst the mathematical practitioners. They are most well known for the discovery of linear perspective, which played a role in the development of optics and also of projective geometry. They contributed significantly to the machine and instrument culture of the period and wrote books on fortification. Leon Battista Alberti (1404–1472) , who published the first book on linear perspective, as well as being an architect contributed to the development of cartography and surveying. Alberti surveyed the classical ruins in Rome using the recently invented plane table.

Galileo, who everybody wants to see as a modern scientist, was actually a classic artist engineer as is well documented by Matteo Valleriani in his Galileo Engineer (Springer, 2010).

Northern Italy was also the birthplace of the maestri d’abbaco, in English reckoning maters, who taught the Hindu–Arabic place value, decimal number-system and elementary algebra as commercial arithmetic to the apprentices of traders, as well as geometry to apprentice artists and builders. A non-academic branch of mathematics that spread northwards from Italy over time. Tartaglia (1499–1557), who as we saw made serious contributions to the debate on projectile motion and ballistics, was a maestro d’abbaco. 

Moving northwards, Vienna was home to the Second Viennese School of Mathematics, at the start of the sixteenth century, which continued the modernisation of astronomy and also contributed significantly to the development of cartography. Developments that Peter Apian (1495–1552) and his son Philip (1531–1589) continued making further north in Ingolstadt. In between Vienna and Ingolstadt Peter Apian published his Cosmographia in Landshut in 1524, a textbook on all aspects of practical mathematics, astronomy, cartography, navigation, surveying, etc. 

Title page of Apian’s Cosmpgraphia

Continuing northwards, Nürnberg was during the sixteenth century the major centre in Europe for the production of scientific instruments.

A fairly accurate depiction of Nürnberg from the Nuremberg Chronicle from 1493. The castles (by then 3) at the top with the city spreading down the hill. Large parts of the inner city still look like this today

The city attracted a group of mathematical practitioners, such as Regiomontanus (1436–1476), already in the fifteenth century, Johannes Schöner (1477–1547),

Johannes Schöner Source: Wikimedia Commons

Georg Hartman (1489–1564),

Georg Hartmann Source: Astronomie in Nürnberg

as well as the artist-engineer Albrecht Dürer (1471–1528), who also wrote a book on fortification.

Siege of a fortress from Etliche underricht zu befestigung der Stett, Schloss und flecken (Several Instructions for the Fortification of Towns, Castles and Settlements) [Treatise on Fortification] by Albrecht Dürer, published by Hieronymus Andreae for Albrecht Dürer, Nuremberg, 1527 Source

Nürnberg also became a major centre for globe making and cartography. 

Influenced by the Nürnberg Renaissance mathematici, Leuven, under Gemma Frisius (1508–1555) became a major centre for surveying, globe making, cartography, and instrument making.

Gemma Frisius 17th C woodcut E. de Boulonois

Gemma Frisius took over Apian’s Cosmographia editing, expanding, and publishing a series of new editions. The book went through more than forty editions in five languages, Latin, Flemish, German, French, and Spanish and was one of the biggest selling books of the sixteenth century. Frisius also taught a number of students who went on to become prominent mathematical practitioners. The most famous was Gerard Mercator (1512–1594), who became to leading globe maker and cartographer in Europe in the second half of the sixteenth century. 

Portrait by Hogenberg,1574. Source: Wikimedia Commons

With his Mercator projection, first published as a map in 1569, based on the mathematics of the Portuguese Royal Cosmographer, Pedro Nunes (1502–1578),

Pedro Nunes, 1843 print Source: Wikimedia Commons

he produced the best marine chart, on which lines of constant compass bearing were straight lines.

Mercator 1569 world map (Nova et Aucta Orbis Terrae Descriptio ad Usum Navigantium Emendate Accommodata) Source: Wikimedia Commons

Unfortunately, he didn’t explain the mathematics behind it, which was subsequently discovered and taught by both of the English mathematical practitioners, John Dee (1527–c. 1608) and Thomas Harriot (c. 1560–1621), but also not published by either of them. It was first published by the English mathematical practitioner, Edward Wright (1561–1615) in his Certaine Errors in Navigation, in 1599.

Cover of Wright’s Certaine Errors Source: Wikimedia Commons

Mercator’s influence spread to the Netherlands, where Willem Janszoon Blaeu (1571–1638) and Jodocus Hondius (1563–1612) set up Europe’s two biggest publishing houses for globes and maps, which dominated the field for most of the seventeenth century.

As I have been documenting in my series on the English mathematical practitioners, England lagged behind the continent in the development of the various branches of practical mathematics and spent much of the second half of the sixteenth century playing catchup, led by John Dee, who had studied under Frisius and Mercator in Leuven and his friends, father and son, Leonard (1515–c. 1559) and Thomas Digges (c. 1546–1595)

As I have tried to show, in this all too brief sketch,  the field of practical mathematics was widespread and highly active throughout Europe in the sixteenth century and the areas it covered such as navigation, surveying, ballistics, and cartography increased in political and economic importance throughout the period. However, the Aristotelian natural philosophers were not about to become mathematical practitioners and the mathematical practitioners were not about to become natural philosophers, So, the open question is how the field of practical mathematics become part of natural philosophy, the combination forming a central and important aspect of the evolving modern science in the seventeenth century. 

The adoption of mathematics into natural philosophy was a gradual process of osmosis and appropriation. The most obvious example is, of course, Galileo’s work on the laws of fall and projectile motion. However, the acceptance here was based on a gradual development of the theories since John Philoponus in the sixth century, a development that had also involved quite a lot of natural philosophers so, it wasn’t quite the novum that it is usually presented as. There are however other clear and interesting examples.

William Gilbert (c. 1540–1603) was considered to be a natural philosopher and not a mathematical practitioner. However, his magnum opus, De Magnete (1600), incorporated much of the research work of Robert Norman (?–? , inventor of the dip circle, on magnetic variation.

Figure of a dip circle, illustrating magnetic dip Robert Norman – Page 17 of The Newe Attractive via Wikimedia Commons

Norman was a mathematical practitioner and his research was both experimental and mathematical. Gilbert’s book became a highly influential book on scientific method in the first half of the seventeenth century, praised by, amongst other, both Kepler and Galileo, although Galileo complained that it had too little mathematics. It was a tome that opened a door for the inclusion of experiment based mathematics into natural philosophy.

The dip circle was just one of the new scientific instruments to emerge during the investigation into the functioning of the magnetic compass. The other major new instrument was the variation or azimuth compass, which made possible the determination of the magnetic variation.

16th century compass. Illustration of a magnetic compass of variation designed by Archdeacon William Barlow in 1597, an improvement on previous marine compasses. The face of the compass was pivoted on gimbals to ensure that it remains horizontal so as to reduce errors as the ship moves. Barlow’s compass allowed true north to be calculated from the indication of magnetic north if the variation was known. Variation is the angle between magnetic north and geographical (true) north, as they are in different locations. The magnitude of the variation depends upon the observer’s geographical location.

In general the mathematical practitioners were responsible for the introduction of many new mathematical instruments. In early times these were limited to sundials, the armillary sphere, the astrolabe and the quadrant. The sixteenth and early seventeenth centuries saw the invention and introduction of theodolites, simple and altazimuth, the graphometer, the plane table, the surveyors chain, the circumferentor or surveyors compass, the cross-staff as a navigational instrument, the back-staff, the nocturnal, various equinoctial dials and horary quadrants, the sector in a variety of forms, the logarithmic scale and slide rule, universal astrolabes and many more now largely forgotten.*

Also influential was the work of Simon Stevin (1548–1620), who is definitely to be considered a mathematical practitioner and not a natural philosopher, vehemently rejecting Aristotelian philosophy. We have already seen that Stevin published important texts on statics and on hydrostatics, as well as contributing to the discussion on the laws of fall by actually dropping objects of differing weight from a tower and concluding that they fall almost at the same speed. His works translated into French and Latin by Willebrord Snel van Royan (1580–1626) (like his father Rudolph Snel van Royan (1546–1613) an anti-Aristotelian mathematical practitioner) who make major contributions to astronomy, navigation, trigonometry and in particular surveying and cartography, influenced the mathematically inclined French natural philosophers, in particular Descartes. 

Snel’s Triangulation of the Dutch Republic from 1615 Source: Wikimedia Commons

Christiaan Huygens (1629–1695), who was perhaps ‘the’ mathematical natural philosopher incarnate, before the advent of Newton (1642–1726), grew up and was educated in the extraordinary mathematical education system in the seventeenth-century Netherlands. Ludolph van Ceulen (1540–1610), who was Willebrord Snel’s teacher, was the first professor of mathematics in a course designed by Stevin at the University of Leiden. His successor was Frans van Schooten senior (1581–1646), who was in turn succeeded by his son Frans van Schooten junior (1615–1660), who became a disciple of Descartes, producing the expanded Latin editions of Descartes’ La Géométrie. Van Schooten junior did this with the help of a Cartesian research group including four of his private pupils, Johan de Witt (1625–1672), who died horribly, Johannes Hudde (1628–1704), Hendrick van Heuraet (1633–1660) and Christiaan Huygens. A nice chain of transition from practical mathematics, Stevin, to mathematical natural philosophy, Huygens.

  • The list of instruments is taken from J. A. Bennett, The Mechanics’ Philosophy and the Mechanical Philosophy, History of Science, Vol. XXIV, 1986, pp. 1-26, p. 3 This whole post is permeated with the ideas of Jim Bennett taken from various papers.

2 Comments

Filed under History of Astronomy, History of Cartography, History of cosmography, History of Mathematics, History of medicine, History of Navigation, Renaissance Science

The Cosmographical Glasse

Cosmographia is a compositor of the words cosmos and graphia, whereby cosmos is the Latin form of the Greek kosmos meaning world or universe and graphia, which is derived from graphos which means writing, means description. So, a cosmographia is a description of the world and or universe. It was originally used as an alternative Latin title to Geographia for Ptolemaeus’ Geographike Hyphegesis, which translates as guide to drawing the earth. It was used in this sense the cartographical publication of Sebatian Münster (1488–1552), his Cosmographia (1st ed. 1544) one of the biggest selling books of the sixteenth and early seventeenth centuries. 

During the Renaissance, it was also used for books that described both the Earth and the universe and the disciplines used to create that description. The most well known example of this type of cosmographia is the Cosmograpicus libre written, printed and published by Peter Apian (1495–1552) in Landshut in 1524. This, like Münster’s Cosmographia, was one of the biggest selling books of the sixteenth century. It went through more that forty improved and expanded editions in five languages­–Latin, Flemish, German, French, Spanish–but with all but the first edition edited and published by Gemma Frisius (1508–1555) in Leuven. I have yet to discover, why Gemma Frisius took over the production of this important and very successful volume. 

The Sicilian mathematician and astronomer Francesco Maurolico (1494–1575) also published his influential Cosmographia Francisci Maurolyci Messanensis Siculi in tres dialogos distincta, in quibus de forma, situ numeroque tam coelorum quam elementorum aliisque rebus ad astronomica rudimenta spectantibus satis disseritur. Ad reverendissimum Cardinalem Bembum (Cosmography Divided into Three Dialogues) in Venice, in 1543.

The first English cosmographia, The Cosmographical Glasse, conteinyng the pleasant Principles of Cosmographie, Geographie, Hydrograhie, or Nauigation was written by the physician, astrologer and engraver William Cuningham (1531–c. 1586) and published by John Daye (c.1522–1584) in London in 1559.[1]

Before we look at William Cuningham and his Cosmographia, we will take a brief look at his much more renowned publisher, John Daye.

Woodcut of Day (dated 1562) included in the 1563 and subsequent editions of Actes and Monuments Source: Wikimedia Commons

Daye was a leading Protestant publisher in London during the reign of Edward VI. With the accession of Mary Tudor to the throne in 1553 and the associated Catholic backlash, many prominent Protestant printers fled the country but Daye stayed and continued printing from a clandestine press. In 1554, Daye was caught and sent to the Tower of London. There was, however, a shortage of printers and a year later he was released and permitted to work but only as a jobbing printer, no longer able to publish his own books. Following the death of Mary and the accession of Elizabeth I in 1558, Daye was able to reestablish his old business. His principle claim to fame came in 1563, when he published the first edition of the Actes and Monuments of these Latter and Perillous Days, Touching Matters of the Church of the historian John Foxe (1516/17–1578) better known as Foxe’s Book of Martyrs. Over many editions and elaborations this would go on to become a major element of English religious history. 

Woodcut from Day’s 1563 first printing of John Foxe’s Actes and Monuments depicting the execution of Thomas Cranmer, 1556 Source: Wikimedia Commons

When Daye returned to publishing in 1558 the first  patent he was granted by Elizabeth was for the exclusive publishing rights to Cuningham’s The Cosmographical Glasse, which appeared in an elaborate edition in 1559. As well as being richly illustrated the volume was the first English book to introduce the apostrophe[2] and the first to be printed with Françoise Guyot’s[3] double-pica italic type face.

Françoise Guyot’s double-pica italic type face.

Very little is known about William Cuningham (sometimes spelt Kennyngham or Kenningham).

Woodcut portrait of William Cuningham artist unknown Source: National Portrait Gallery

A citizen of Norwich, he was admitted to Corpus Christi College Cambridge in 1548 as a pensioner, i.e. a student at Cambridge, who pays for his commons and other expenses, and is not supported by any foundation. This would suggest a wealthy background. He matriculated in Easter 1551 to finally graduate BM in 1557. According to The Cosmographical Glasse he made astronomical observation in Norwich, November 1556, March 1557, November 1558, and March 1559. He spent much of Mary Tudor’s reign on the continent in more Protestant-friendly cities. He was acquainted with Strasbourg, Antwerp, and Cologne and acquired his doctorate in medicine in Heidelberg in 1558. He returned to Norwich and finished writing The Cosmographical Glasse, which he completed at Norwich the xviij. of July 1559[4].

Moving to London, Cuningham had a successful career as a physician being appointed public lecturer for the Baber-Surgeons’ Company in 1563. He collaborated with the eminent surgeons Thomas Gale (1507–1586), who produced first book on surgery written in English, and John Halle (c. 1529–c. 1568). Cuningham was also the author of books on Phisique and Chirugie. Cuningham was an active astrologer publishing yearly almanacs from 1553, for which he was criticised and attacked in print by the Puritan divine William Fulke (1538–1589). Both John Daye and Willian Cuningham had won Elizabeth’s favourite, Robert Dudley, later 1stEarl of Leicester (1532–1588), as a patron which is probably why they received the patent for The Cosmographical Glasse so soon after Elizabeth’s accession to the throne.[5]

Cuningham was obviously well connected on the continent through his travels and his studies and The Cosmological Glasse is to a large extent a distillation of the actual European literature, although he doesn’t just copy but corrects data when more up to date observations are available. His basic world view is, of course, geocentric Ptolemaic. Some modern critics have criticised him for not mentioning Copernicus. However, this is only sixteen years after the publication of De revolutionibus, which to this point in time had made almost no impact, with much of what impact there had been, being largely instrumentalist, astronomers interested in Copernicus’ data but not in his cosmology.

Cuningham’s Ptolemaic Cosmos Source: Waters see Note 11 opposite page 56

The Cosmographical Glasse is set out in five sections, each covering a different topic–astronomy, geography, cartography, navigation, and chorography. He follows the hierarchy set out by Apian channelling Ptolemaeus, in his Cosmographicum Liber, ‘Cosmographie describeth the [vniversall] worlde, Geographie th’earth: in lyke sorte Corographie, sheweth the partes of th’earth, diuided in them selues.’[6]

Cuningham’ major sources are Ptolemaeus (mentioned about twenty times), Strabo (mentioned seven times), Aristotle and Proclus (each five times), Oronce Fine (four time), Polybius and Hipparchus (each three times). This is reflected in the very elaborate frontispiece.

Source: Wikimedia Commons

The work’s frontispiece functions as a testimony: above the central cartouche is a large terrestrial globe; on the left Ptolemy looks at the stars to which he points his right finger while his left hand rests on the meridian of the globe near the North Pole; below Aratus holding a dial and Hipparchus a quadrant. On the right, Marinus measures with callipers something on the globe; below Strabo draws a map of England and Polybius uses a cross-staff. The title page is thus divided with, on the left, astronomers scrutinising the stars and, on the right, geographers measuring the earth. Traditionally, the quadrivium of the seven liberal arts included geometry, astronomy, arithmetic, and music – as indicated in the lower part’s representations of the muses with their proper symbols. Astronomy, geometry, arithmetic and music played a central role in cosmography whose purpose was to reveal the divine mysteries of harmony, symmetry and pattern.[7]

John Daye recycled the design of the frontispiece in his edition of the first English translation of  The Elements of Euclid by Henry Billingsley (c. 1538–1606) with its important Mathematicall Praeface by John Dee (1527–1609)

Source: Wikimedia Commons

Below the title in the central cartouche of the Cuningham frontispiece is a quintain:

In this Glasse you will beholde

The Sterry Skie and Y earth so wilde

The Seas also, with windes so colde,

Yea and thy selfe all these to guide:

What this Type meane first learne a right,

So shall the gayne thy trauill quight.

In the sixteenth century the word “glasse” was used to refer to both mirrors and lenses. If lens were meant it could be in the sense of focus on, but it is fairly clear that here glasse means a mirror and it reflects a view of the cosmos. This was a common trope in the Renaissance and occurs in various publications. Also widespread was the claim that  ‘Fryer Bakon’ who made a glass ‘in whiche men myght see thynges that were doon in other places,’ here stated by Robert Recorde.

The first four of the five sections are written in the form of Platonic dialogues between a teacher Philonicus and a student Spoudaeus. It is written in English “‘to serue the unlerned multitude’ as well as to achieve clarity of thought and of expression in order to communicate old and new concepts.” The English aspect is emphasised as “Philonicus  advises Spoudaeus to read contemporary books on arithmetic and geometry such as ‘our worthy countryman, (… John de Sacrobosco)’, to which Spoudaeus replies he has read Robert Recorde’s Ground of ArtesPathway to Knowledge and Whetstone of wytte.”[8] On Recorde see here.

Much of the content of The Cosmographical Glasse is lifted without acknowledgement from Maurolico’s Cosmographia in tres dialogos distincta (1543). In fact, Cuningham never even mentions him anywhere in his text. We have for example:

Parallelus oppositus ei, qui oer Canariá, it per Nili fontes, montémque Lunae.

Oppositus ei, qui per Syanen, it per insulas Médacascar, Peutam, Necurá, lauam maioré Candin, regnúmqueCoilum.

Oppositus ei, qui per Damascum, it per Bonae speu promontorium.

Oppositus ei, qui per Rhodum, it per insulas Seilan & Angama. …

Italiae antipodes sunt, qui lauam minorem habitant.

Lusitanorum antipodes sunt insulae Seilam incolae. (Maurolico 1543, 101)

As the parallele (opposite vnto the North parallele, which goeth by the Canarian Ilands, is drawne by the Riuer Nilus, and Mons Lunae, the Mount of the Moone.

The parallele opposite to that which is drawne by Syëne, goeth by the Ilandes Mendacascar, Peuta, Necura, the greater Iaua, Candin, and the kingdome of Coilum.

The parallele opposite to that whiche is drawne by Damascus, goth by the promontory of good hope, called promontorium bonae Spej.

The opposite parallele, to that goeth ouer the Rhodes, is described by th’Ilands Seilan, & Augama. & they are antipodes vnto Italy, which dwell in Iaua the lesser. The antipodes to the Lucitanians, are those in the Isle of Seila. (CG, 80)[9]

Cuningham provides the first description in English of the method of triangulation in surveying, first presented by Gemma Frisius in his Libellus de locorum describendum ratione (Booklet concerning a way of describing places), as an appendix to the third edition of Apian’s Cosmographia in 1533.

Gemma Frisius’ diagram explaining triangulation

Cuningham substituted the Norfolk towns of Wyndmonham and Swardeston in his account of Frisius’ method. However, as Delano-Smith and Kain point out his account lacks rather a lot of salient detail.

Source: Catherine Delano-Smith & Roger J. P. Kain, English Maps: A History, University of Toronto Press, 1999 p. 58

Both for cartography and for navigation Cuningham included a description of how to calculate:

the latitude of the place by findinge the height of the Northe starre, which they call the lode starre, esteming à degre, or two, in obseruation as no error. But you shall worcke in thys maner: first find out any notable starre (that you knowe perfaitly) in the table of fixed starres, & with Ptolomaeus rule, or other instrumente, obserue his heighte in the meridian line: then in the table of declination, you shall find how much he declineth North or South, from th’equinoctiall, & obseruing th’order, as you do with the searching out of the Pole by the sonnes altitude Meridiane, and declination. (96)[10]

Determining latitude with Ptolomaeus rule

Cuningham also provide two different methods of how to determine the longitude of a location. He explains the method of time differences using a clock as first suggested by Gemma Frisius in 1522. Cuningham recommends the watches, “such as are bought from Flanders and we have them as excellent without Temple barre.” These watches are, however, only accurate to a quarter of an hour a day. To determine longitude to within half a degree at the end of a six weeks’ voyage, the error must amount to not more than two minutes in all, or about three seconds a day![11] He also recommends the lunars method as first suggested by Johannes Werner (1468–1522) in his In hoc opere haec continentur Nova translatio primi libri geographiae Cl’ Ptolomaei … (Nürnberg 1514). 

William Cuningham gave an example of how he had looked up the position of Regulus and the moon, had observed their distance apart and knowing the rate of change of bearing of the moon to be 35′ every hour had found the difference in time to be 16 minutes, and so his position 4° W of Antwerp. But such methods, apart from the unavoidable inaccuracies of almanacs, were quite impractical for the ordinary navigators.[12]

The lunars method didn’t become viable until the middle of the eighteenth century with the new lunar tables of Tobias Mayer (1723–1762) and the sextant of John Hadley (1682–1744).

Cuningham also described the eclipse observation method of determining longitude, widely used since antiquity and included a table of eclipses that he had calculated from March 1560–to September 1605.  

David Waters thinks that it was Cuningham’s thoughts on the determination of longitude that persuaded William Bourne (c. 1535–1582) to revise the section on longitude in the Corrected and Amended edition of his A Regiment for the Sea (1580).

Given its elaborate presentation The Cosmographical Glasse was certainly too expensive to be bought and read by common seamen, surveyors, or other simple mathematical practitioners. It also can’t really be judged a major success as there was never a second edition. However, it was the first book in English that dealt with the mathematical aspects of navigation and cartography being published two years before The Arte of Navigation the English translation by Richard Eden (c. 1520–1576) of Breve compendio de la sphere y de la arte de navegar  (1551) by Martín Cortés de Albacar (1510–1582), which had been brought to England by Stephen Borough (1525–1584). It was also one of the books that Martin Frobisher (c. 1535–1594) took, on the recommendation of John Dee, on his first voyage to attempt to discover the Northwest passage in 1577.

Perhaps Cuningham’s most lasting direct influence was the bird’s eye view aerial map of Norwich that he included in his book,  to illustrate the final part of Apian’s trilogy–cosmography, geography, chorography. Norwich was at the time, after London, the second biggest city in England. 

Source: Catherine Delano-Smith & Roger J. P. Kain, English Maps: A History, University of Toronto Press, 1999 p. 185

The map is the earliest surviving printed map of an English city. It remained the standard map of Norwich well into the seventeenth century being copied and reproduced many times.

It was reproduced in volume three of Georg Braun and Franz Hogenberg’s Civitates orbis terrarum published in Cologne in 1581. 

Norwich in Braun & Hogenberg Civitates orbis terrarum

John Speed (1551/52–1629) also included it, without acknowledgement as an insert on his map of Norfolk in his The Counties of Britain in 1602.

Norwich in John Speed The Counties of Britain

The Cosmographical Glasse certainly played a significant role in raising the awareness in England of the necessity of studying and learning the mathematical arts of surveying, navigation, and cartography, which as I have been trying to show in this series developed strongly over the last decades of the sixteenth century. 


[1] Much of this post is informed by Isabelle Fernandes, ‘to finde out the pathe’: Mapping the Universal Machine in William Cuningham’s Cosmographical Glasse (1559), Jems 12, 2023,  pp. 55–77

[2] The apostrophe was first used by Pietro Bembo (1470–1547) in his 1496 edition of De Ætna ad Angelum Chabrielem Liber. It was introduced into France in 1529 by the engraver Geoffroy Tory (c.1480–1533) and appeared first in England in 1559 in Cuningham’s The Cosmographical Glasse (Wikipedia)

[3] Françoise Guyot (?–1570) was a French punch cutter, date of birth unknown, who moved to Antwerp where starting around 1539 he became the principle punch cutter for Christophe Plantin (c.1520–1589), who became Europe’s largest printer publisher. Guyot seems to have spent his later years working for John Daye in London.

[4] Fernandes pp. 56-57

[5] Fernandes p. 57

[6] Fernandes p. 60

[7] Fernandes pp. 60–61

[8] Fernandes pp. 59–60

[9] Fernandes p.62

[10] Fernandes p. 64

[11] David Waters, The Art of Navigation in England in Elizabethan and Early Stuart Times, Yale University Press, 1958, p. 58

[12] Waters, p. 59

Leave a comment

Filed under Early Scientific Publishing, History of Astrology, History of Astronomy, History of Cartography, History of cosmography, History of Navigation, Renaissance Science

Johannes Kepler’s preoccupation with the concept of harmony.

Johannes Kepler was an incredibly prolific writer, as well as more than sixty books and pamphlets, he corresponded with a wide range of people writing a huge number of oft, very long letters, on an extensive assortment of serious topics. In the field of astronomy, the discipline for which he is best known, his magnum opus was the voluminous Harmonices mundi libri V (The Harmony of the World), published in 1619. 

The jewel at the centre of this massive tome is his Third Law of Planetary Motion, known as his Harmony Law. That the term harmony is used both in the title of the book and as the name for his law is deliberate, because the concept of harmony was central to every aspect of Kepler’s extensive world of thought, be it in science, theology, politics, or even the whole of human existence. Why this was so and what he meant or better understood when using the term harmony is the topic of Aviva Rothman’s excellent book, The Pursuit of HarmonyKepler on Cosmos, Confession, and Community.[1]

Having read Rothman’s book, the first thought that occurred to me when thinking about writing a review was that this is not a book for the faint hearted. This sounds negative but it is not intended to be so and to explain what I mean; I find myself needing to wax lyrical or maybe not so lyrical about historiography. 

I am on record as having stated that I don’t like historiography, because historiography becomes dogma and dogma makes people blind. Historiography is a word with multiple definitions but a simple working definition might be that history is the study of the past and historiography is the study of how we write about the past. There are prescriptive historiographies that seek to impose the way that we approach studying and writing about the past. 

Most notoriously in the history of science there is the divide between internal and external histories, whereby internal histories concern themselves mostly or even exclusively with the scientific results that a scholar in the past was involved in producing. In opposition to this, external histories look at the context or contexts within which said scholar produced those results, which for the internalist are largely irrelevant. I think we should do both, whereby I lay emphasis on the contextual history of a scientific discipline. Rothman’s book is, of course, external history and that at its finest. 

Another prescriptive historiography is Marxist historiography that demands that the historian examines all aspects of the past from an economic standpoint. What were the economic forces that shaped the situation that the historian has taken under their investigatory magnifying glass. For me a not insignificant external factor but only one of several and often not the most important. 

Different prescriptive historiographies emphasise different aspects of the evolution of a scientific discipline with their adherents often claiming that their approach or methodology is the all important one. This is what I mean when I say that historiography become dogma.

I want now to look at a different aspect of history and historiography. There is a famous quote from L.P. Hartley’s novel The Go-Between, “The past is foreign country; they do things differently there,” and the similar common saying “the past is another country, we can’t go there anymore.” Writing history is not in any way an exact discipline, what the two quotes state or even emphasise is that we have no direct empirical access to the past. It’s over, it’s gone, it’s the past and it no longer exists. Historians can’t enter their TARDIS[2] and go back to a specific era, occurrence, incidence in the past that they wish to investigate and make video and sound recordings, write protocols, take stills or in any way whatsoever capture in original that which they wish to investigate. 

It’s as if the past is a giant jigsaw puzzle that somehow has lost a very large number of its pieces and a lot of those that still exist are in addition damaged in some way or another. Those surviving puzzle pieces, both the undamaged and the damaged ones are the evidence, consisting of written and material sources, that have somehow survived the ravages of time that provide the material with which the historian has to work. That work consists of constructing, or better said reconstruction, a plausible picture or narrative of what took place in that aspect of the past that they are researching.  As new pieces of evidence appear over time, that reconstruction gets modified, in extreme case even overturned. This is the much denigrated “rewriting of history” that conservative commentators and right wing politicians constantly and vehemently attack but is actually what historians are supposed to do. 

There are in historiography different levels of reconstruction of any given piece of history depending on the context in which the reconstruction is being presented. The presentation of Newton’s Principia, for example, is very different in a school textbook or in a popular magazine article to the presentation in an academic article. Even within academic presentations  the level of reconstruction can vary substantially depending on the point that the author is trying to get across to their potential readers. These reconstructions vary according to the width and depth that the historian investigates the available evidence, the complexity of the reconstruction increasing with the greater amount of evidence that is utilised and also with the level of scrutiny that the evidence is subjected to. Each level of reconstruction has its validity within the context that it is presented in but every one of them must be true to the evidence used, it may not contradict the given facts. This last statement raises the thorny questions, what counts as evidence and what exactly are facts? Whole books have been written on either or both of these questions and I’m not going down that road here but they are questions that every serious historian should give some thought to.

When I wrote above that Rothman’s book was not for the faint hearted what I meant was that she has dived into the available historical material to a very great depth and subjected the vast quantity of evidence that she has accumulated to an incredibly intense scrutiny. To utilise a cliché, she has almost literally left no stone unturned or potential piece of evidence unexamined in her attempt to elucidate what Johannes Kepler meant with his continuous use of the term harmony across all aspects of his life and work. The result of this is a historiographical tour de force, a master piece of historical reconstruction but one that makes its readers work hard in following the twists and turns of Herr Kepler’s world of thought. 

The introduction, delivers what its title, Kepler and the Harmonic Idea, promises, summed up in the simple sentence:

Harmony was the cause to which Kepler devoted his life; it was both the intellectual bedrock and the crucial goal for his seemingly disparate endeavors.[3]

Having very briefly sketched the areas where Kepler sought and/or applied his concept of harmony, Rothman takes us on a brief guided tour of the Pythagorean mathematical-musical concept of harmony and the celestial or cosmic version of it presented and publicised by Plato in his writing, that lies at the heart of Kepler’s own concept of harmony. She shows how it was taken up and developed by a diverse range of thinkers, particularly during the Renaissance in philosophy, science, politics, and religion, and how it changed and evolved in the works of those thinkers. 

As a small footnote, but not a criticism, she missed one of my favourite applications of the Pythagorean concept and one that has a strong connection to Kepler through his relationship with Tycho Brahe. Tycho designed Uraniborg, his palace and observatory on the island of Hven, himself. All the dimensions of this extraordinary structure are laid out in harmonic Pythagorean ratios, from the ground plan, over the floor plans of the rooms, down to the dimensions of the windows and the doorways. 

The book is divided into six capitals, each of which deals with a different aspect of Kepler’s world of thought and how his central harmonic idea played out within that within that given area. 

Chapter one, “The Study of Divine Things”: Kepler as Astronomer-Priest, takes us deep into the world of Kepler’s mathematical astronomy and his adherence to the Lutheran faith, which were, as Rothman shows, intimately linked. Unfortunately, in the middle of the very first page of this chapter is one of the very few historical errors that I detected reading Rothman’s illuminating book. She writes of the young Johannes:

If he could not speak to God, then he would speak for him; he would become a Lutheran priest. Kepler pursued this dream for the next thirteen years, until, while he was completing his theology degree [my emphasis] at the University of Tübingen, a letter arrived that was to change the course of his life.[4]

I wrote a whole blog post explaining that the widespread claim that Kepler was studying for a theology degree is simply false, he wasn’t and never did. Rothman’s error is somewhat puzzling as in her bibliography she actually lists Charlotte Methuen’s Kepler’s Tübingen: Stimulus to a Theological Mathematics (1998), which is the academic article that debunks the myth.

However, as Rothman correctly notes Kepler, who was in a programme to produce schoolteachers and village pastor (small quibble, Lutherans are not priests), wanted to become a pastor and not a schoolteacher but was reluctantly sent off to Graz as a maths teacher. 

This very minor opening error aside, Rothman then delivers up an excellent in depth analysis of Kepler’s discovery that he could worship his God by revealing the geometrical structure of God’s creation. His discovery was the solution to the problem why, in the Copernican world system, there are only six planets? Kepler’s God was a rational God so there must be a reason for this. Kepler’s answer was that there are only five regular Platonic solids to fill out the gaps. He famously present this discovery in his first book Mysterium Cosmographicum (1596). 

In this tome he included his belief that God was not just a geometer but the very embodiment of geometry, and his fervent belief that mathematics and the Copernican world system was the key to reuniting the divided and quarrelling Christian community. He was still a servant of the Duchy of  Württemberg and the University of Tübingen and required their permission to publish his book. His teacher Michael Mästlin was delighted by Kepler’s contribution and passed it on with recommendation to the theologian Matthias Hafenreffer, who would decide whether it could be published or not. Rothman takes her readers through the thickets of Lutheran, Calvinist, and Catholic doctrine with particular reference to the Eucharist, a major point of dissent between them. She skilfully outlines Kepler’s own heterodox view on the topic and the three way debate by correspondence between Kepler, Mästlin and Hafenreffer concerning Kepler’s theological-astronomical views as expressed in the book. 

This chapter which follows the twist and turns of oft complex and confusing doctrinal debates is a tour de force. It cleverly positions Kepler, with his rather unique viewpoint,  within the theological debates of the intensive phase of the Reformation and Counter Reformation and is alone worth the price of the book. 

In the two sentence popular version of Kepler’s excommunication, it is stated that that his views in general were too ecumenical and too accommodating to the Calvinists in particular. Both statements are to some extent true but as Rothman explains in great detail in her second chapter far too simplistic. Having established to his own satisfaction that God was geometry and that through cosmology and astronomy the three main Christian denominations could find common ground and reunite in harmony. Kepler had entered into a deep theological discussion with his teachers from Tübingen. They told him very clearly not to talk about things that didn’t concern him and that he was not qualified to judge and instead to stick to his mathematics. In her second chapter, “Maters of Conscience”: Kepler and the Lutheran Church, Rothman take another deep dive into the theological divide between Kepler and his church and why that church was in no way prepared to extend the hand of forgiveness and welcome their lost sheep back into the fold. Rothman delivers up a master class in early seventeenth century Lutheran theological doctrine and what it was that Kepler couldn’t accept in it and why the Lutheran theologian couldn’t accept his personal criticisms and wishes.

Contrary to popular belief during the hot phase of the reformation and counterreformation scientists on both sides of the divide did not stop communicating and sharing with each other and Kepler, who as a Lutheran spent his formative years as an astronomer living and working in Catholic Prague, had strong personal contacts to Catholic, and indeed Jesuit, mathematicians and astronomers. In her chapter three, Of God and His Community”: Kepler and the Catholic Church, Rothman takes a close look at those contacts and the wish from the side of the Jesuits that Kepler would convert and Kepler’s reactions to those wishes and his general attitude to the Catholic Church. As might be expected Kepler’s attitude towards Catholicism was neither acceptance nor total rejection but like his position within his own religious community highly complex. Within both religious communities Kepler wanted to define his own theological standpoint accepting some items of dogma and rejecting other. Basically, he keeps saying we all believe in God, so why can’t I just do it my way but saying it with great sophistication. As in the previous chapters Rothman guides he readers through the complex theological thickets with verve.

Throughout all of the three opening chapters we experience Kepler’s life long struggle to establish harmony amongst the three major Christian confessions. 

In chapter four, “An Ally in the Search for Truth”: Kepler and Galileo, we leave the thickets of early seventeenth century theological disputes and turn to Kepler’s scientific endeavours and his forlorn attempts to win Galileo as a companion in his battle for the Copernican world system. 

The Humanist Renaissance was kicked off by the rediscovery of the great orators of classical antiquity in particular Marcus Tullius Cicero (106–43 BCE) and Marcus Fabius Quintilianus (c. 35–c. 100 CE), usually simple known as Cicero and Quintilian. Both were masters of rhetoric and Kepler, very much a Renaissance scholar turned to rhetoric in his attempt to entice Galileo into joining him in his crusade to convince the world to accept Copernican heliocentricity in the interest of cosmic harmony, setting up a Copernican scientific community. Rothman opens this capital with a brief but comprehensive master class in the history and methodologies of rhetoric before moving on to the rhetorical strategies, including subtle lying, that Kepler used in his campaign to gain Galileo’s support. A campaign, which as is well known failed. In this context, Rothman also delivers an excellent analysis of Kepler’s dispute with Martin Horky the young Bohemian scholar who ridiculed Galileo’s failed attempt to demonstrate his telescope to Giovanni Antonio Magini (1555–1617) in Bologna.

In chapter five, “Political Digression(s)”: Kepler and the Harmony of State, Rothman turns to an area that one normally does not associate with Kepler, politics. Rothman, of course, points out that as imperial mathematicus, read astrologer, to the Holy Roman Emperor, Kepler functioned as a political advisor and that politics is an area where the term harmony, or at least the desire for it,  was historically very much at home. There follows an excurse on the role of Tacitus’ Histories as a major source of advice on political behaviour during the Renaissance. Having introduced Tacitus, we now get The Astrologer as Politician, and Kepler as Tacitist. Astrologers have always functioned as political advisors and Kepler is infamous for his admission that in this role he relied more on applied psychology that on astrological forecast in giving advice to Rudolf II, a passionate advocate of astrology. A succinct analysis is followed by an equally succinct one of Kepler’s Tacitist attitude. 

Up next an analysis of the politics of patronage of astronomy/astrology that contains the second minor historical error that I detected, Rothman writes:

These are some of the reasons why Rudolf II agreed to sponsor the new set of planetary tables–begun by Tycho Brahe and finished by Kepler–that would ultimately bear his name.[5]

The Tabulae Rudolphinae, although based on the data collected by Tycho, were not started by him but were alone the result Herculean efforts of Kepler.

The quote in the title of this capital “Political Digression(s)” refers to a section of Kepler’s Harmonice mundi in which Kepler grapples with the mathematical political laws of the French philosopher Jean Bodin (c. 1530–1596) based on the mathematical concepts of Petrus Ramus (1515–1572). Yet another masterful short analysis by Rothman.

The final chapter “The Christian Resolution of the Calendar”: Kepler as Impartial Mathematician returns us to the world of science but a world embroiled in religious and political dispute over the Gregorian calendar reform. During his debates over the decades with Matthias Hafenreffer, the latter kept telling Kepler that he was not a theologian but a mathematician and he should stick to that which he knows and not meddle in affairs that don’t concern him. Kepler countered again and again with his God as geometer and mathematics as theology. Kepler claimed that mathematical studies are impartial and this chapter looks at the claim and how Kepler interpreted it with respect to the dispute over the calendar reform. 

The term impartial gives Rothman another chance to display her talent for deep historical research. We get informed that the Latin term partialis had no direct opposite and the concept impartial, for Kepler in German unpartheylich, roughly not taking side, was a very recent coinage. Rothman now delivers a whole battery of 17th century dictionary definitions of the term unpartyisch. Sometimes I get the impression that she left no intellectual alleyways unilluminated whilst researching this unbelievably rich piece of historical writing. 

We now turn to the calendar reform and Kepler’s attitude towards it. In her brief description of the reform, Rothman in which she brings her third minor historical error, she writes:

And the reform process was finally completed in 1582, when Pope Gregory XIII created a commission, headed by the Jesuit mathematician Christoph Clavius, to reform the calendar on the basis of the recommendations of astronomer Aloysius Lilius.[6]

Gregory XIII did not set up the commission in 1582, but that is when they finished their deliberations. We don’t know exactly how long they deliberated but it was at least ten years.  I wrote a whole blog post explaining that of the nine members of the commission who signed their deliberation in 1582, Clavius was far from being the head but was in fact the least significant member. It was only after the introduction of the new calendar that he was appointed to explain and defend it against its critics and thus became Mister Calendar, so to speak.

Rothman gives a brief history of the initial reception, acceptance and rejection, of the new calendar before introducing Kepler’s stance. As a young astronomer in 1597 he took a cautious approach outline where he agreed and disagreed with his teacher Michael Mästlin, the official, Lutheran, technical spokesman on the topic. However, in 1604, he wrote a long, unpublished dialogue on calendar reform between a political and a theological representative for each side in the debate and himself as Mathematicus in the middle as impartial referee. Rothman’s presentation and analysis of this complex and fascinating text is quite simply brilliant.

The book closes with a twenty-five page conclusion, Perspective, Perception, and Pluralism, of which the opening paragraph summarises Rothman’s entire endeavour far better than my entire, feeble attempt at a review:

Kepler’s vision of a better world, I’ve argued, rested on harmony. He believed that heavenly harmony should serve as a blueprint for earthly harmony, particularly given the increasing confessional and political dissonance around him. He understood harmony to be active and changeable, as were the planets in their cosmic symphony; like their harmonies, earthly harmony too should be multi-voiced and required ´difference–and even discord–to give it life. Many of the themes I’ve explored in the previous chapters–polyphony, tolerance, accommodation, diversity, and dialogue among them–were all, in some sense coextensive with harmony as Kepler understood it. A harmonious community, like a harmonious cosmos, was one that embraced many perspectives rather than just one.[7]

As the title of the conclusion states, here Rothman takes a brief look at Kepler’s views on perspective and perception through his work on optics in particular his use, both real and metaphorical, of the camera obscura. Not important, but Rothman neglects to mention that Kepler coined the term camera obscura. She does however point out that Kepler likens God to a human architect and whilst, as she tells us, Alberti expounds on architectural harmony, Kepler’ most famous frontispiece,  from the  Rudolphine Tables, is architectural disharmony written large.

The book has extensive, mostly bibliographical endnotes and the extensive bibliography to go with them. It also has a very good index. There are only a handful of greyscale images and unfortunately the portrait of Kepler at the front of the book  is the one now no longer considered to be Kepler.

Although Rothman writes smoothly and elegantly and has an excellent literary style, this is very much an academic and not a popular book. However, having said that, I think it is a must read for all, who have more than a superficial interest in Johannes Kepler. Over the years I have read an incredible amount of biographical literature about Johannes Kepler since I first discovered him in Arthur Koestler’s The Sleepwalkers more than fifty years ago and this counts as one of the very best that I have read. Unfortunately, there is no good modern, general biography of Johannes Kepler, maybe Aviva Rothman could be persuaded to write one. On the evidence of this work, it would almost certainly be excellent. 


[1] Aviva Rothman, The Pursuit of HarmonyKepler on Cosmos, Confession, and Community, The University of Chicago Press, Chicago, 2017.

[2] “Time And Relative Dimension In Space” see Doctor Who

[3] Rothman p. 5

[4] Rothman p. 33

[5] Rothman p.197

[6] Rothman p. 230

[7] Rothman p. 257

5 Comments

Filed under Book Reviews, History of Astronomy, History of cosmography, Renaissance Science

John Dee navigational advisor

After our longer discourse on the history of magnetic variation, we return today to the history of navigation in England during the second half of the sixteenth century. John Dee (1527–c. 1608) was a central figure in the English mathematical world during this period. His name has already turned up in several of the earlier posts in this series. I have also in the past written posts about other aspects of Dee’s mathematical activity. In this post I want to gather together his contribution to the developments in navigation and cartography during this period.

According to Charlotte Fell Smith, this portrait was painted when Dee was 67. It belonged to his grandson Rowland Dee and later to Elias Ashmole, who left it to Oxford University. Source: Wikimedia Commons

It is worth looking at the beginnings of Dee’s path through life to see how he became England’s leading authority on all things mathematical, as at that time the land was actually largely a mathematical desert. Dee’s family came from Wales, where they lived on the Radnorshire border with England and the family name was Ddu, the Welsh for black. John’s father, Roland, like other members of the family, emigrated to London where the family name was pronounced Dye and eventually mutated to Dee. Roland was a mercer, that is a cloth trader at a time when England’s wealth was based on the cloth trade. 

In 1524 John married the fifteen-year-old Jane Wilde the heiress of William Wilde of Milton-next-Gravesend in Kent. A daughter was born in 1525 and John in 1527, followed by three other sons. The Wilde’s were connected to the court of Henry VIII and Roland would become a “gentleman sewer” to the king and in the 1540s a Packer to the Strangers, assessing customs on exports by foreigners, and charging fees for packing them. He also became a member of the Worshipful Company of Mercers on 19 February 1543. His social rise would end disastrously in 1547, but we are running ahead of our narrative, which is actually about John and not his father.

As noted above John was born into a prospering and aspiring family. John was enrolled in Chelmsford Chantry School in 1535, which was rebranded the King Edward VI Grammar School in 1551 and still going strong today. Here he was taught Latin, a prerequisite for attending university. In November 1542, aged fifteen, he entered St. John’s College Cambridge, which had only been founded thirty years before, and graduated BA in 1546. . St John’s had a strong Protestant fraction, and Dee was Catholic, so he was denied a fellowship. However, Henry VIII made Dee a founding junior Fellow of Trinity College in December 1546. He taught logic and sophistry for two years in the University Schools before graduating MA in 1548, now twenty-one-years-old. 

Dee had already developed a favour for mathematics and  although nominally taught, mathematics was largely ignored at Cambridge. Roger Ascham (c. 1515–1568), a Fellow of St. John’s who lectured on mathematics on mathematics in 1539-40, dismissed excessive devotion to such manual studies, which rendered gentlemen ‘unapt to serve in the world.’ At Trinity Dee found a patron in the Greek scholar John Christopherson (died 1558), who arranged for him to study at the University of Louvain in the summer of 1547 with a commendatory letter from Christopherson and money from Trinity. Louvain became Dee’s mathematical home. He returned there when he graduated MA in 1548, once again financed by Trinity College.[1]

Dee was by no means the only scholar from Britain who sought a mathematical education on the continent. The Scotsmen, John Craig (died 1620) and Duncan Liddel (1561–1613) both sought their mathematical education in the universities of Northern Germany.

Source: Wikimedia Commons

Henry Saville (1549–1622), who endowed the first chairs for astronomy and geometry at an English university, at Oxford in 1619, deepened his mathematical knowledge with an extensive tour of Europe.

Henry Savile in 1621. School of Marcus Gheeraerts the Younger Source: Wikimedia Commons

In Louvain Gemma Frisius (1508–1555) was actually professor for medicine but he was also the leading cosmographer in Europe. He both worked in and taught mathematics, astronomy, astrology, geography, cartography, surveying, and globe and instrument making. He edited and published numerous new updated and expanded editions of the Cosmographia of Peter Apian (1495–1552).

Source: Wikimedia Commons

He was a notable teacher with Johannes Stadius (c. 1527–1579), Andreas Vesalius (1514–1564), and Rembert Dodoens (1517–1585) amongst his student. He became Dee’s teacher in cosmography ably aided by his own most famous pupil Gerard Mercator (1512–1594), who remained Dee’s close friend and correspondent.

The Frans Hogenberg portrait of 1574, showing Mercator pointing at the North magnetic pole Source: Wikimedia Commons

Through Frisius and Mercator, Dee also became friends with Abraham Ortelius (1527–1598), Mercator’s cartographical friend and rival. Through his time in Louvain Dee was already established in the inner circle of the European cosmographical elite. 

Abraham Ortelius by Peter Paul Rubens Source: Wikimedia Commons

When John Dee had returned from Louvain in 1547, he had brought with him besides ‘sea-compasses of divers sortes,’ what were comparative novelties in England, ‘rare and exquisitely made instruments Mathematical,’ ‘two great globes of Gerardus Mercator’s making,’ and astronomical instruments. These he had given to Trinity College, Cambridge, for ‘the use of the Fellows and Scholars.’[2]

In 1550, Dee returned to the continent, this time to Paris, carrying with him a letter of introduction from Mercator. He held lectures at the university on Euclid and became friends with the Huguenot, anti-Aristotelian  mathematician Pierre de la Ramée (1515–1572).

Source: Wikimedia Commons

He claimed to have been offered a chair for mathematics in Paris, but there is some doubt about this claim. In 1563, Dee visited Italy where he met with Federico Commandino (1509–1575) noted from his numerous translations of mathematical treatises from Greek into Latin. Dee presented him with a manuscript that was published in Pesaro as De superficierum divisionibus liber Machometo Bagdedino ascriptus nunc primum Joannis Dee Londinensis et Federici Commandini Urbinatis opera in lucem editus. Federici Commandini de eadem re libellus in 1570. 

Source: Wikimedia Commons

The most puzzling of John Dee’s continental connections concerns the Portuguese cosmographer and mathematician Pedro Nunes (1502–1578), famous for being the mathematician, who determined that a course of constant bearing would be a loxodrome or rhumb line, the basis on which the Mercator projection is based. In 1558, Dee published his first book, Propaedeumata aphoristica, an astrological/astronomical work. This contains a dedicatory letter addressed to Mercator in which Dee writes:

You should know that, besides the extremely dangerous illness from which I have suffered during the whole year just past, I have also borne many other inconveniences (from those who, etc.) which have very much hindered my studies, and that my strength has not yet been able to sustain the weight of such exertion and labor as the almost Herculean task will require for its completion. And if my work cannot be finished or published while I remain alive, I have bequeathed it to that most learned and grave man who is the sole relic and ornament and prop of the mathematical arts among us, D. D. Pedro Nuñes, of Salácia, and not long since prayed him strenuously that, if this work of mine should be brought to him after my death, he would kindly and humanely take it under his protection and use it in every way as if it were his own: that he would deign to complete it, finally, correct it, and polish it for the public use of philosophers as if it were entirely his. And I do not doubt that he will himself be a party to my wish if his life and health remain unimpaired, since he loves me faithfully and it is inborn in him by nature, and reinforced by will, industry, and habit, to cultivate diligently the arts most necessary to a Christian state.[3]

It would seem obvious from this text that Dee was closely acquainted with Nunes but there exists no known evidence, apart from this letter to Mercator, that the two even met or even corresponded. However, for the history of cosmography the friendship would obviously  be highly significant. 

Image of Portuguese mathematician Pedro Nunes in Panorama magazine (1843); Lisbon, Portugal. Source: Wikimedia Commons

In 1552, Dee met up with Gerolamo Cardano (1501–1576) when the latter was in London. Nothing is recorded of their exchange but I strongly suspect it had more to do with astrology than with mathematics.

Portrait of Cardano on display at the School of Mathematics and Statistics, University of St Andrews Source: Wikimedia Commons

Unlike Craig and Liddel, who both did, Dee never visited Tycho Brahe (1546–1601) on the island of Hven and Dee was in Prague at the court of Rudolf II eighteen years before Tycho arrived there. However, the two did correspond on the subject of how to correctly measure the parallax of comets in order to determine if there were sublunar, as Aristotle, believed or supralunar as they actually are. This was a very hot topic in both astronomy and astrology in the sixteenth century. 

Source: Wikimedia Commons

In popular presentations, John Dee is almost exclusively presented as the arch-occultist, the man who consulted angels, wrote complex occult tomes and is discussed as the role model for Marlow’s Doctor Faustus  and/or Shakespeare’s Prospero. So, I have presented Dee’s mathematical pedigree in a fair amount of detail in order to show that he was a fully integrated member of the sixteenth-century European mathematical elite and not just away with the fairies.

Dee’s most significant mathematical work was the ‘Mathematicall Praeface’ to Sir Henry Billingsley’s English translation of the Element of Euclid, published in 1570. Both the translation and Dee’s preface had a major impact on the development of mathematics in sixteenth century England. In his preface Dee gives the first definition by an English scholar of navigation at the same time demonstrating that he is a cosmographer in the mould of Frisius and Nunes by coupling it with definitions of hydrography, astronomy, astrology and horometry.

THE ARTE OF NAVIGATION, demonstrateth how, by the shortest good way, by the aptest Directiō, & in the shortest time, a sufficient Ship, betwene any two places (in passage Nauvigable,) assigned : may be cōnducted : and in all stormes, & naturall disturbances chauncyng, how, to vse the best possible meanes, whereby to recouer the place first assigned. What need the Master Pilote, hath of other Artes, here before recited, it is easie to know : as of HydrographieAstronomieAstrologie, and Horometrie. Pre-supposing continually, the common Base, the foudacion of all : namely. Arithmeticke and Geometrie. So that, he be hable to vnderstand, and Iudge his own necessary Instrumentes, and furniture Necessary.

The definition carries on for several hundred more words, detailing what is necessary to determine latitude and longitude and various other things, which we don’t need to go into here. I found his emphasis on the return journey, ‘to recouer the place first assigned’ interesting. Let us look at some of his other definitions. Not mentioned above but highly relevant is his definition of geography:

…GEOGRAPHIE teacheth wayes, by which, in sūndry forms, (as SphaerikePlaine or other), the Situation of Cities, Townes, Villages, Fortes, Castells, Mountaines, Woods, Hauens, Riuers, Crekes, & such other things, vpō the outface of the earthly Globe (either in the whole, or in some principall meber and portion thereof cōntayned) may be described and designed, in cōmensurations Analogicall to Nature and veritie : and most aptly to our view. May be represented. Of this Arte how great pleasure, and how manifolde commodities do come vnto vs, daily and hourly : of most men, is perceaued. 

[…]

To conclude, some, for one purpose : and some, for an other, liketh , loueth, getteth, and vseth, Mappes, Chartes and Geographicall Globes. Of whose vse, to speake sufficiently, would require a booke peculiar.

He describes hydrography in analogy to geography:

HYDROGRAPHIE, deliuereth to our knowledge, on Globe or in Plain, the perfect Analogicall description of the Ocean Sea coastes, through the whole world : por in the chief and principle partes thereof : with the Iles and chiefe particular places of daungers, conteyned within the boundes, and Sea coastes described : as, of Quicksandes, Bankes, Pittes, Rockes, Races, Countertides, Whorlepooles, etc. This dealeth with the Element of water chiefly : as Geographie did take principally the elements of the Earthes description (with his appurtenances) to taske.

As with the definitions of navigation and geography this goes on in more detail but we will now turn to Dee’s definitions of astronomy, astrology and horometry.

…ASTRONOMIE; is an Arte Mathematicall which demonstrateth the distance, magnitudes, and all naturall motions apparences, and passions propre to the Planets andfixed Sterres : for any time past, present and to come : in respect to a certaine Horizon, or without respect to any Horizon. By this Arte we are certified of the distance of the Starry Skye, and of eche Planete from the centre of the Earth : and of the greatnes of any Fixed starre sene, or Planete, in respect to the Earthes greatnes … 

Of ASTROLOGIE, here I make an Arte, seuerall from Astronomie : not by new diuise, but by good reason and authoritie : for, Astrologie, is an Arte Mathematicall, which reasonably demonstrateth the operations and effectes, of the naturall beames, of light, and secrete influence : of the Sterres and Planets : in euery elementall body, at all times, in any Horizon assigned…

What today seems strange, the inclusion of astrology in Dee’s navigation’s definition, would have seemed perfectly normal in the sixteenth century. What he doesn’t mention here in this definition is that astrological almanacs were used by navigators because of the actual astronomical data, such as luna phases,  that they contained to which in this period tide tables had already begun to be added. 

HOROMETRIE; is an Arte Mathematicall, which demōnstrateth, how at all times appointed, the precise vsvall demoninatiō of time, may be knowen, for any place assigned…[4]

Dee worked as an advisor, teacher, and supplier of charts and instruments for ships masters and pilots. He mostly did this work for the Muscovy Trading Company, so we need to know something about this organisation.

Seal of the Muscovy Company Source: Wikimedia Commons

The Company of Merchant Adventurers to New Lands was an early joint stock association, set up by Richard Chancellor (c. 1521–1556), Sebastian Cabot (c. 1474–1557), and Sir Hugh Willoughby (fl. 1544–died 1554), in order to search for a Northeast Passage to China. Willoughby and Chancellor set of on an expedition to search for the Northeast Passage in 1553, in which Stephen Borough (1525–1585) took part. 

Vladimir Kosov. 1553 expedition of Richard Chancellor Source: Wikimedia Commons
Chancellor’s reception in Moscow, as depicted in the Illustrated Chronicle of Ivan the Terrible Source: Wikimedia Commons

The Company of Merchant Adventurers to New Lands was rechartered as the Muscovy Company by Mary I of England in 1555. A second expedition to Russia led by Chancellor took place in the same year. They continued to trade with Russia over the next years. In 1556, Stephen Borough led a new expedition to attempt to find the Northeast Passage.

In 1576, the Muscovy Company licenced the expedition led by Martin Frobisher (c. 1535–1594) to find the Northwest Passage. In 1577, Frobisher launched a second attempt to find the Northwest Passage, this time under the auspices of the Cathay Company, newly founded by Frobisher and Michael Lok (c. 1532–c.1621). In 1578, Frobisher undertook his greatest expedition to the northwestern Artic waters this time planning on establishing a colony. Like the previous two expeditions this one also failed. 

Full-length life-size oil painting portrait of English explorer Martin Frobisher commissioned by the Company of Cathay to commemorate his 1576 Northwest Passage voyage and promote the planned follow-up expedition of 1577. It is the only surviving painting of a series of fifteen that Netherlandish artist Cornelis Ketel made in England between 1576 and 1578 for the Company. The fourteen lost paintings depicted English and Inuit people involved with Frobisher’s three Northwest Passage voyages, as well as the ship Gabriel. Source: Wikimedia Commons

The Muscovy Company continued to explore the Artic waters, trade with Russia, and hunt whales into the seventeenth century. From the very first expedition of Willoughby and Chancellor, for which he wrote his TheAstronomicall and Logisticall Rules and Canons to calculate the Ephemerides to be used on the voyage, John Dee acted as cosmographical advisor to the pilots and masters of the Muscovy Company up till 1583 when he left England for the continent. He also instructed Frobisher and Christopher Hall, his master, in the use of navigational instruments and the mathematics of navigation, as well as advising them which books, charts, and instruments the expedition should purchase. Dee was also a shareholder in the Cathey Company.

Dee advised, taught and supplied, books, charts and instruments over thirty years to Chancellor, Stephen Borough, with whom he developed his  Paradoxal compass, a circumpolar chart for sailing in Artic waters where the distortions of a Mercator projection are too great, William Borough (1536–1598), Humphrey Gilbert (c. 1539–1583), and John Davis (c. 1550–1605). These were the leading English master pilots in the first decades during which England tried to make ground good in marine exploration following the Dutch, Spanish and Portuguese, who all had a substantial lead in this new endeavour. 

During this early period, the third quarter of the sixteenth century, the Muscovy Company was the only formal, chartered English trading in existence. The Levant Company was first chartered by Elizabeth I in 1592 following the merger of the Venice Company, chartered 1583, and the Turkey Company, chartered 1581, The most famous company, The East India Company was first chartered in 1600 and the Hudson’s Bay Company wasn’t chartered until 1670. In those first three decades, John Dee haven’t acquired his education largely on the continent was the only cosmographical advisor working in England and his services were eagerly sought after. When he departed for the continent to follow his, much better known, occult ambitions. He was superceded by Thomas Digges (1546–1595), his adoptive son, Thomas Harriot (1560–1621), who became Walter Raleigh’s chief cosmographical advisor and the ‘first scientist in America,’ Edward Wright (1561–1615), and others. 

In the 1570s, Dee began preparing a major text on his involvement  in marine expeditions, which he planned to publish in four volumes. In 1576, Dee published the first of the four volumes, his General and Rare Memorials pertayning to the Perfect Arte of Navigation, which despite its title has nothing to do with navigation as discussed above.

This book was an appeal to Queen Elizabeth to support the founding of British colonies and is the first book to coin the phrase British Empire. Dee produced some complex, spurious, historical arguments to justify England’s supposed claim to North America. The second volume of this work was intended to collect and publish all of his manuscripts on navigation but he was unable to find a sponsor for what would have been an expensive project because of all the tables and diagrams that the book would require and the manuscript has been lost.

Dee’s important contributions to the early decades of England’s deep sea explorations, which were very important, tend to get overlooked in the shrill comments about his later occult activities. 


[1] The details of Dee’s family background and his education are largely taken from Glyn Parry, The Arch-Conjuror of EnglandJohn Dee, Yale University Press, 2011

[2] David Waters, The Art of Navigation in England in Elizabethan and Early Stuart Times, Yale University Press, 1958 quoting E. G. R. Taylor, Tudor Geography, ( 1485–1583), Routledge, 1930.

[3] Bruno Almeida, On the origins of Dee’s mathematical programme: The John Dee–Pedro Nunes connection, Studies in History and Philosophy of Science Part A, Volume 43, Issue 3, September 2012, pp. 460-469 

[4] All the definitions are taken from Waters pp 521–524

5 Comments

Filed under History of cosmography, History of Mathematics, History of Navigation, History of science, History of Technology, Renaissance Science