Proposition Replicated

Proposition XIII.11

If in a circle which has its diameter rational an equilateral pentagon be inscribed, the side of the pentagon is the irrational straight line called minor.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XIII.11

Euclid's Elements, encoded as an rrxiv paper

Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT

Neighborhood at a glance

Incoming (3)

X.76 XIII.6 XIII.10

PropositionProposition XIII.11

Outgoing (1)

XIII.16

Full neighborhood

Depends on (3)

X.76Proposition X.76If from a straight line there be subtracted a straight line incommensurable in square with the whole, which with the…
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.10Proposition XIII.10If an equilateral pentagon be inscribed in a circle, the square on the side of the pentagon is equal to the squares on…

Required by (dependents) (1)

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

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