Element's Volume XIII, along with Volumes XI and XII, examines three-dimensional figures. Volume XIII includes the construction of pyramids, cubes, octahedrons, dodecahedrons, and icosahedrons (the five regular Platonic solids) in a sphere.
Volume XIII of Elements deals with the construction of the five regular Platonic solids (pyramid, cube, octahedron, dodecahedron, icosahedron) inside a given sphere.
The thirteenth book in Euclids Elements has no specific title, but covers the Pythagorean proofs of Theaetetus (c. 417-369 bc) and the construction of the five regular Platonic solids (pyramid, cube,...
The thirteenth and last book of the Elements of Euclid deals with the construction of the five "Platonic solids": the tetrahedron, octahedron, cube, icosahedron and dodecahedron. It applies Eudoxus'...