Proof
Inscribe a regular pentagon in a circle (IV.11); arrange two parallel
pentagons rotated from each other, plus two apex points.
Twelve vertices form the icosahedron. The side is a minor straight
line by XIII.11.
Knowledge graph · drag to pan, scroll to zoom, click a node to navigate
Full neighborhood
Depends on (3)
- IV.11Proposition IV.11In a given circle to inscribe an equilateral and equiangular pentagon.
- XIII.11Proposition XIII.11If in a circle which has its diameter rational an equilateral pentagon be inscribed, the side of the pentagon is the…
- XIII.15Proposition XIII.15To construct a cube and comprehend it in a sphere, as in the preceding case; and to prove that the square on the…
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.