Revision #638 → #1506 · back to history
addedPythagorean theorem9b4e2c8adb58
addedPythagorean equation972c235fc458
addedRearrangement prooff7811b7c55f8
addedAlgebraic proof with four triangles around square of side cb05f5126884d
addedAlgebraic proof with triangles inside square of side c4a9f5baf22dc
addedProof using similar triangles1b675e5f5858
addedEinstein's dissection proof9e1695a0c433
addedEuclid's proof (Elements Book I, Proposition 47)c2b90c44ee65
addedRearrangement proof with central square6d762c0c274d
addedDissection proof from images4796fcd5ba5c
addedProof by area-preserving shearing463e9a5b7b01
addedGarfield's trapezoid proof290e04607fd6
addedProof using differentials37dc576592cc
addedConverse of the Pythagorean theorembe479cf6252f
addedExistence of triangle from Pythagorean sides480c8f1bf967
addedConverse in Euclid's Elements Book I Proposition 4827b4cc51b4d5
addedRight/acute/obtuse triangle classification2af3b1478a7f
addedDijkstra's formulation217d3a30080c
addedPythagorean triple51f6789960e5
addedPrimitive Pythagorean triple2669c99f6012
addedList of primitive Pythagorean triples under 100b9983ba1691e
addedEuclid's formula for Pythagorean triplesd81026aee88e
addedInverse (reciprocal) Pythagorean theorem8cef2d064d0b
addedConstruction of incommensurable lengths1494b78b0cfe
addedModulus of a complex numberd9456a8278a4
addedDistance between complex numbers9ab6489c1c71
addedEuclidean distance in the plane78d77957a06e
addedEuclidean distance in n-spacececee8a76c5c
addedSquared Euclidean distance9023c145b3c6
addedDistance in polar coordinates / law of cosinesf49e2d6b8efe
addedPythagorean trigonometric identity33e1c497e4d7
addedPythagorean relation between cross product and dot product33034e81ae5a
addedEquivalence with parallel postulate7e1f6e66502a
addedSimilar figures on the three sides3b56392b56a2
addedLaw of cosines48e51b784377
addedThābit ibn Qurra's generalization1bd229146962
addedPappus's area theorem42ee347c767d
addedPtolemy's theoremedc816cfb9f2
addedCuboid diagonal via Pythagorase2c707229356
addedde Gua's theorem68540ed15860
addedn-dimensional Pythagorean theorem3f00199a53fa
addedPythagorean theorem in inner product spaces67f4d862629b
addedParallelogram lawd6646db9856d
addedPythagorean identity for n orthogonal vectors14b3a01f8eaa
addedGeneralization to measurable sets91c123fa811b
addedFailure on the sphere octant00d18544610a
addedGeneralization with angle sum conditionc17a8060c510
addedSpherical Pythagorean theoremd175b8f63a15
addedSpherical law of cosines419ecc509391
addedHyperbolic Pythagorean theorem542754e845ff
addedHyperbolic law of cosines0e3d1d72a396
addedPythagorean theorem for very small triangles under uniform curvature9b25b8703e16
addedRiemannian metric tensorfc85ea5ecbeb