◀ ▲ ▶Branches / Geometry / Elements-euclid / Book-12-proportional-stereometry / Corollary: Cor. 12.07: Prism on Triangular Base divided into Three Equal Tetrahedra

Corollary: Cor. 12.07: Prism on Triangular Base divided into Three Equal Tetrahedra

(related to Proposition: Prop. 12.07: Prism on Triangular Base divided into Three Equal Tetrahedra)

(Corollary to Proposition 7 from Book 12 of Euclid's “Elements”)

And, from this, (it is) clear that any pyramid is the third part of the prism having the same base as it, and an equal height (Which is) the very thing it was required to show.

Modern Formulation

(not yet contributed)

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1

Thank you to the contributors under CC BY-SA 4.0!

Github:

non-Github:

@Fitzpatrick

References

Adapted from (subject to copyright, with kind permission)

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