Proof
The two parallelepipeds can be decomposed into congruent prisms via
XI.28 and I.34 applied repeatedly; the equality is the 3D analogue
of I.35 (parallelograms on the same base between the same parallels).
Knowledge graph · drag to pan, scroll to zoom, click a node to navigate
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…
Discussion
No replications, contradictions, or comments registered yet for this claim.
Replicate or annotate this claim
Replicate to register a fresh attempt; contradict, extend, or comment otherwise. Authors can post a claim-retraction with the reason taxonomy from RRP-0020.
Sign in with ORCID to annotate this claim.