Proposition: Prop. 13.16: Construction of Regular Icosahedron within Given Sphere
(Proposition 16 from Book 13 of Euclid's “Elements”)
To construct an icosahedron, and to enclose (it) in a sphere, like the aforementioned figures, and to show that the side of the icosahedron is that irrational (straight line) called minor.
![fig16ae](https://github.com/bookofproofs/bookofproofs.github.io/blob/main/_sources/_assets/images/euclid/Book13/fig16ae.png?raw=true)
![fig16e](https://github.com/bookofproofs/bookofproofs.github.io/blob/main/_sources/_assets/images/euclid/Book13/fig16e.png?raw=true)
Modern Formulation
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Table of Contents
Proofs: 1 Corollaries: 1
Mentioned in:
Proofs: 1
Propositions: 2
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References
Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BY-SA 3.0 Sources:
- Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016