Category:Euclid Book XIV
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These proofs can all be found in the so-called "Book $\text {XIV}$" of Euclid's The Elements.
This book is believed to have been written by Hypsicles of Alexandria.
The specific form of these has been adapted from Sir Thomas L. Heath's Euclid: The Thirteen Books of The Elements: Volume 3, 2nd ed.
Pages in category "Euclid Book XIV"
The following 11 pages are in this category, out of 11 total.
C
R
- Ratio of Lengths of Sides of Cube and Regular Icosahedron in Same Sphere
- Ratio of Sizes of Surfaces of Cube and Regular Icosahedron in Same Sphere
- Ratio of Sizes of Surfaces of Regular Dodecahedron and Regular Icosahedron in Same Sphere
- Ratio of Volumes of Regular Dodecahedron and Regular Icosahedron in Same Sphere
- Ratio of Volumes of Regular Dodecahedron and Regular Icosahedron in Same Sphere/Lemma
- Relative Sizes of Platonic Solids in Same Sphere