Revision #964 → #1599 · back to history
addedStraightedge-and-compass constructione804de55fbae
addedIdealized straightedge and compass4fc86e37c477
addedCompass-only and straightedge-only constructibility39faaa89b2db
addedWantzel's impossibility results42dc4dab6733
addedAlgebraic characterization of constructible lengths and anglesa5e48dc6c6bb
addedCharacterization of constructible numbers8cba5f89dc13
addedStraightedgea47b04f80464
addedCompass equivalence theorem2ce741520f14
addedExactness and termination of constructions88ea0e2c7bb9
addedGreek constructions of sums, products, and square roots1eb65c094598
addedHippocrates and Menaechmus doubling the cube4066e0cc56a8
addedGauss's constructible 17-gon and sufficient criterion75fc28cb0a47
addedWantzel's impossibility proof761313431829
addedLindemann's transcendence of pi5d0debfebac5
addedFive basic constructions487f4a4f2aff
addedEquilateral triangle from two points42f3b4ca5ee9
addedCommon straightedge-and-compass constructionsc6db6b8c73be
addedIntersection points lie in a quadratic extension05b4a709515a
addedDegree of minimal polynomial of constructible point is a power of 29ce24ed74f38
addedBijection between constructible angles and points on a constructible circle87268178951f
addedCharacterization of constructible angles by trig values0265d4369e6d
addedFinite-order constructible anglesd8b1245e0955
addedConstructible points as smallest field closed under conjugation and square roots862b37c6f132
addedConstructible ratios characterization6a31c98685a8
addedReal part, imaginary part, modulus are constructible41d130e4be41
addedCubic and transcendental obstructions035773578928
addedSquaring the circlecdddc1797d32
addedImpossibility of squaring the circleccbda12555d6
addedKepler triangle approximation6e979dd777ce
addedDoubling the cubeada9c67a1e04
addedImpossibility of doubling the cube8389d47ffa8a
addedAngle trisectioneb2f7d8f6cfe
addedImpossibility of trisecting a 60° angleed3f3744248a
addedNon-constructibility of distance to ellipsed6ce18d39963
addedNeumann's theorem on Alhazen's problemff173bc01c8d
addedGauss–Wantzel theorem on constructible regular polygonsf068ca24c60d
addedInfinitely many even-sided constructible polygonsc8acd673e66c
addedTriangle construction from three of sixteen key points4ca27820d7d6
addedTriangle construction from key lengths and angles0f44a9bdb6c7
addedMohr–Mascheroni theoremf55a3b3d750b
addedPoncelet–Steiner theorema78f806357d9
addedPlanar, solid, and other constructionse013b78f3326
addedField-theoretic characterization of planar and solid numbersfd66db8c1b8f
addedSolid construction4dd17dd14f30
addedParabola y = x^2 enables solid constructions6bb92ce1844f
addedSolid construction of regular n-gon via Pierpont primesaf8a740f5b87
addedAngle-trisection tool limits454542d0a99a
addedOrigami and Huzita–Hatori axioms871c04d325b2
addedNeusis construction6553ce4f5f68
addedPower of the neusis constructiona9d2894262d6
addedPlouffe's ruler-and-compass binary digit algorithmc1019e455561