Proposition Replicated
Proposition XI.36
If three straight lines be proportional, the parallelepipedal solid formed out of the three is equal to the parallelepipedal solid on the mean which is equilateral, but equiangular with the aforesaid solid.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XI.36
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.17Proposition VI.17If three straight lines be proportional, the rectangle contained by the extremes is equal to the square on the mean;…
- XI.32Proposition XI.32Parallelepipedal solids which are of the same height are to one another as their bases.
- XI.34Proposition XI.34In equal parallelepipedal solids the bases are reciprocally proportional to the heights; and those parallelepipedal…
Discussion
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