Proposition Replicated
Proposition XII.9
In equal pyramids which have triangular bases the bases are reciprocally proportional to the heights; and those pyramids which have triangular bases in which the bases are reciprocally proportional to the heights are equal.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XII.9
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
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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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