The intersection of two or more solids can either be an empty set, a point (two cones "intersecting" apex-to-apex), a line (two cubes touching along one edge), a face (two cubes, face-to-face).
If the solids are "filled", the overlapping intersection will be another solid. If they are hollow, it will be a closed three dimensional figure.
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Intersection of Medians-Centroid Intersection of Altitudes-Orthocentre
intersection.
the centroid is the intersection of medians
Uncontrolled intersection
Combined angles of 360 degrees around the point of intersection.