Proposition XII.6 — Pyramids which are of the same height and have polygonal bas…

Proof

Triangulate each polygonal base; the polygon-pyramid is the sum of the triangular sub-pyramids; apply XII.5 and V.12.

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Depends on (2)

V.12Proposition V.12If any number of magnitudes be proportional, as one of the antecedents is to one of the consequents, so will all the…
XII.5Proposition XII.5Pyramids which are of the same height and have triangular bases are to one another as their bases.

Required by (dependents) (1)

XII.9Proposition XII.9In equal pyramids which have triangular bases the bases are reciprocally proportional to the heights; and those…

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