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Proposition: Prop. 12.17: Construction of Polyhedron in Outer of Concentric Spheres

Euclid's Formulation

There being two spheres about the same center, to inscribe a polyhedral solid in the greater sphere, not touching the lesser sphere on its surface.

• Let two spheres have been conceived about the same center, $A$.
• So, it is necessary to inscribe a polyhedral solid in the greater sphere, not touching the lesser sphere on its surface.

Modern Formulation

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Table of Contents

Proofs: 1 Corollaries: 1

Mentioned in:

Proofs: 1

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References

Adapted from (subject to copyright, with kind permission)

1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"

Adapted from CC BY-SA 3.0 Sources:

1. Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016