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Diff — Euclid's Elements

Revision #537 → #1200 · back to history

addedPostulate 1 (drawing a straight line)ecdff2723ec4
addedPostulate 3 (describing a circle)ab39ec9d581a
addedPons asinorum (Book I, Prop. 5)76ecea39726d
addedPythagorean theorem (Book I, Props. 47–48)764d4483eb8f
addedGolden ratio / extreme and mean ratio (Book II, Prop. 11)c9c467bfca19
addedInscribed angle theorem (Book III, Prop. 20)98264284fa51
addedThales's theorem (Book III, Prop. 31)8b83f731271b
addedIntersecting chords theorem (Book III, Prop. 35)2bef93b09634
addedTangent–secant theorem (Book III, Prop. 36)2b836fe27320
addedRatio of triangles/parallelograms of equal height (Book VI, Prop. 1)8f575f863cde
addedPolygon similar to one and equal in area to another (Book VI, Prop. 25)50d499abbefa
addedDefinition of a number (Book VII, Def. 2)9015ff677410
addedEuclid's theorem on infinitude of primes (Book IX, Prop. 20)b07c197005df
addedSum of a finite geometric series (Book IX, Prop. 35)747957e93ad3
addedConstruction of even perfect numbers (Book IX, Prop. 36)928720baa2b2
addedPerfect number755fc640e82f
added28 as a perfect number97fa7f802388
addedEuclid–Euler theoremd34bb58db9d4
addedIrrationality of square roots of non-square integers (Book X, Prop. 9)03e5064b8c57
addedEuclid's formula for Pythagorean triples (Book X, lemma to Prop. 29)c10f1d4e7b78
addedEuclid's notion of a rational line segment (Book X)283e9e88ebf1
addedVolume of cone is one-third volume of cylinder (Book XII)f410ea851e19
addedVolume of sphere proportional to cube of radius (Book XII)3500a2760720
addedClassification of regular polyhedra (Book XIII)9009a3ad4b83
addedEqual ratios of surfaces and volumes of dodecahedron and icosahedron (Book XIV)306efcf39bbd
addedParallel postulate (Book I, Postulate 5)b63dac283a1b
addedConstruction of equilateral triangle (Book I, Prop. 1) and implicit circle-intersection assumptionf1d297a60d50