Proposition Replicated
Proposition XIII.17
To construct a dodecahedron and comprehend it in a sphere, like the aforesaid figures; and to prove that the side of the dodecahedron is the irrational straight line called apotome.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XIII.17
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
Neighborhood at a glance
Full neighborhood
Depends on (4)
- IV.11Proposition IV.11In a given circle to inscribe an equilateral and equiangular pentagon.
- XIII.6Proposition XIII.6If a rational straight line be cut in extreme and mean ratio, each of the segments is the irrational straight line…
- 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…
- XIII.16Proposition XIII.16To construct an icosahedron and comprehend it in a sphere, as in the case of the aforesaid figures; and to prove that…
Discussion
No replications, contradictions, or comments registered yet for this claim.