Proposition Replicated

Proposition XI.29

Parallelepipedal solids which are on the same base and of the same height, and in which the extremities of the sides which stand up are on the same straight lines, are equal to one another.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XI.29

Euclid's Elements, encoded as an rrxiv paper

Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT

Neighborhood at a glance

Incoming (3)

I.35 XI.24 XI.28

PropositionProposition XI.29

Outgoing (2)

XI.30 XI.31

Full neighborhood

Depends on (3)

I.35Proposition I.35Parallelograms which are on the same base and in the same parallels are equal to one another.
XI.24Proposition XI.24If a solid be contained by parallel planes, the opposite planes in it are equal and similar parallelograms.
XI.28Proposition XI.28If a parallelepipedal solid be cut by a plane through the diagonals of the opposite planes, the solid will be bisected…

Required by (dependents) (2)

XI.30Proposition XI.30Parallelepipedal solids which are on the same base and of the same height, and in which the extremities of the sides…
XI.31Proposition XI.31Parallelepipedal solids which are on equal bases and of the same height are equal to one another.

Discussion

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