Proposition Replicated
Proposition XIII.13
To construct a pyramid (regular tetrahedron), to comprehend it in a given sphere, and to prove that the square on the diameter of the sphere is one and a half times the square on the side of the pyramid.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:XIII.13
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 (3)
- IV.2Proposition IV.2In a given circle to inscribe a triangle equiangular with a given triangle.
- XI.11Proposition XI.11From a given elevated point to draw a straight line perpendicular to a given plane.
- XIII.12Proposition XIII.12If an equilateral triangle be inscribed in a circle, the square on the side of the triangle is triple of the square on…
Required by (dependents) (2)
Discussion
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