Stereometry

Stereometry or solid geometry is a science of solid bodies in space as a branch of geometry and deals with the measurements of volumes of various solid figures: cylinder, circular cone, truncated cone, sphere, prisms, blades[?], wine casks[?].

History

The Pythagoreans had dealt with the sphere and regular solids[?], but the pyramid, prism, cone and cylinder were but little known until the Platonists took them in hand. Eudoxus established their mensuration, proving the pyramid and cone to have one-third the content of a prism and cylinder on the same base and of the same height, and was probably the discoverer of a proof that the volumes of spheres are as the cubes of their radii.

See also: Archimedes, Demiurge, Johannes Kepler, planimetry[?], Plato, Plato's Timaeus[?]

...partly from the 1911 Encyclopaedia Britannica