Proof
3D analogue of VI.15 for pyramids; via XII.5 / XII.6 the area-times-
height proportion factors into the reciprocal proportion of bases
and heights.
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Depends on (3)
- VI.14Proposition VI.14In equal and equiangular parallelograms the sides about the equal angles are reciprocally proportional; and equiangular…
- XII.5Proposition XII.5Pyramids which are of the same height and have triangular bases are to one another as their bases.
- XII.6Proposition XII.6Pyramids which are of the same height and have polygonal bases are to one another as the bases.
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