compositions
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, octahedron, dodecahedron, icosahedron) inside a given sphere.
There are 13 books in Euclid's Elements. The title of Book XIII is " Regular solids."
The book Elements contained axiomic proofs for plane geometry.
Euclid.
compositions
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, octahedron, dodecahedron, icosahedron) inside a given sphere.
Regular solids
Euclid's Elements is a set of thirteen mini-books and sometimes found as one whole book. The thirteenth book it titled Regular Solids.
The thirteenth book of "Euclid's Elements" is called regular solids. In this final book, Euclid names and describes the properties of the five regular solids and ends it by proving no other regular solids exist.
Platonic solids
There are 13 books in Euclid's Elements. The title of Book XIII is " Regular solids."
Elements
Elements
Euclid's accomplishments had to do with geometry. His greatest accomplishment was his book on geometry called Elements. In this book, he mentions conic sections, number theory and more. He is also responsible for Euclidean geometry.
Elements
Classification of incommensurables.