Proposition VI.23 — Equiangular parallelograms have to one another the ratio com…

Proof

Place the two parallelograms so the equal angles share a vertex; the resulting figure can be split by lines parallel to the sides into a rectangle whose dimensions are the four sides. Two applications of VI.1 give the compounded ratio.

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

Full neighborhood

Depends on (2)

VI.1Proposition VI.1Triangles and parallelograms which are under the same height are to one another as their bases.
V.10Definition V.10When four magnitudes are continuously proportional, the first is said to have to the fourth the triplicate ratio of…

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.