Proposition Replicated

Proposition XIII.12

If an equilateral triangle be inscribed in a circle, the square on the side of the triangle is triple of the square on the radius.

type · theoreticalevidence · argumentextracted by · author

01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XIII.12

Euclid's Elements, encoded as an rrxiv paper

Blaise Albis-Burdige \and Claude \\ \small {(translation after Heath, 1908; encoding new, CC-BY-4.0)}·2605.00009·math.HO, math.MG, math.NT

Neighborhood at a glance

Incoming (2)

PropositionProposition XIII.12

Outgoing (1)

Full neighborhood

Depends on (2)

Required by (dependents) (1)

XIII.13Proposition XIII.13To construct a pyramid (regular tetrahedron), to comprehend it in a given sphere, and to prove that the square on the…

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