rrxivrrxiv
Proposition·Untested·2605.00009

Proposition XII.3

Any pyramid which has a triangular base is divided into two pyramids equal and similar to one another, similar to the whole, and having triangular bases, and into two equal prisms; and the two prisms are greater than the half of the whole pyramid.

Read in paperRead PDFOpen paper

Proof

Bisect each edge (I.10); the midpoint cuts split the pyramid into two corner pyramids and two prisms. The two corner pyramids are similar to the original (their edges halved), and by I.34 the two prisms are congruent.

Knowledge graph · drag to pan, scroll to zoom, click a node to navigate

Full neighborhood

Depends on (3)

Required by (dependents) (2)

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.