Proposition XI.31 — Parallelepipedal solids which are on equal bases and of the …

Proof

By XI.25 the volume is proportional to the base at fixed height; if the bases are equal, the volumes are equal.

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Depends on (3)

XI.25Proposition XI.25If a parallelepipedal solid be cut by a plane parallel to opposite planes, then, as the base is to the base, so will…
XI.29Proposition XI.29Parallelepipedal solids which are on the same base and of the same height, and in which the extremities of the sides…
XI.30Proposition XI.30Parallelepipedal solids which are on the same base and of the same height, and in which the extremities of the sides…

Required by (dependents) (1)

XI.32Proposition XI.32Parallelepipedal solids which are of the same height are to one another as their bases.

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