Proposition Replicated
Proposition XII.8
Similar pyramids which have triangular bases are in the triplicate ratio of their corresponding sides.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XII.8
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)
- XI.33Proposition XI.33Similar parallelepipedal solids are to one another in the triplicate ratio of their corresponding sides.
- XII.5Proposition XII.5Pyramids which are of the same height and have triangular bases are to one another as their bases.
- XII.7Proposition XII.7Any prism which has a triangular base is divided into three pyramids equal to one another which have triangular bases.
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