Lemma: Lem. 13.13: Construction of Regular Tetrahedron within Given Sphere

(Lemma to Proposition 13 from Book 13 of Euclid's “Elements”)

It must be shown that as $AB$ is to $BC$, so the (square) on $AD$ (is) to the (square) on $DC$.

fig13e

Modern Formulation

(not yet contributed)

Proofs: 1


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References

Adapted from (subject to copyright, with kind permission)

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