Proposition Replicated
Proposition XII.15
In equal cones and cylinders the bases are reciprocally proportional to the heights; and those cones and cylinders in which the bases are reciprocally proportional to the heights are equal.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XII.15
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)
- XII.9Proposition XII.9In equal pyramids which have triangular bases the bases are reciprocally proportional to the heights; and those…
- XII.11Proposition XII.11Cones and cylinders which are of the same height are to one another as their bases.
- XII.14Proposition XII.14Cones and cylinders which are on equal bases are to one another as their heights.
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