Proposition Replicated
Proposition IV.2
In a given circle to inscribe a triangle equiangular with a given triangle.
01923f8e-0009-7c4d-9e1f-3a2b1c0d4e5f:prop:IV.2
Euclid's Elements, encoded as an rrxiv paper
Blaise Albis-Burdige, Claude·2605.00009·math.HO, math.MG, math.NT
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Depends on (4)
- I.23Proposition I.23On a given straight line and at a point on it to construct a rectilineal angle equal to a given rectilineal angle.
- I.32Proposition I.32In any triangle, if one of the sides be produced, the exterior angle is equal to the two interior and opposite angles,…
- III.16Proposition III.16The straight line drawn at right angles to the diameter of a circle from its extremity will fall outside the circle,…
- III.32Proposition III.32If a straight line touch a circle, and from the point of contact there be drawn across, in the circle, a straight line…
Required by (dependents) (4)
- IV.11Proposition IV.11In a given circle to inscribe an equilateral and equiangular pentagon.
- IV.16Proposition IV.16In a given circle to inscribe a fifteen-angled figure which shall be both equilateral and equiangular.
- 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…
- XIII.13Proposition XIII.13To construct a pyramid (regular tetrahedron), to comprehend it in a given sphere, and to prove that the square on the…
Discussion
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