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Geometric mean theoremIntersecting chords theoremAngle bisector theoremTangent-secant theoremPythagorean theoremPtolemy's theoremLaw of cosinesBrahmagupta theoremIsosceles trapezoidNapoleon's theoremIntersection theoryApollonius's theoremPythagorean trigonometric identityDivergence theoremHurewicz theoremTriangle inequalityMonge's theoremSpherical law of cosinesMorley's trisector theoremLefschetz hyperplane theoremPappus's centroid theoremSubtended anglePerpendicular axis theoremThales's theoremAltitudePerpendicular distanceCauchy's integral theoremIsomorphism theoremsTrapezoidal rulePythagorean additionTrigonometric functionsPolynomial remainder theoremDarboux's theoremMean value theoremExterior angle theoremHyperplane separation theoremParallel axis theoremConic sectionHilbert's nullstellensatzSpiral of theodorusBisectionParallel projectionParallelogram lawAngleParallelogramTangential quadrilateralGradient theoremCissoid of dioclesAffine transformationPascal's theoremCantor's intersection theoremBrahmagupta's formulaSimons' formulaMedianFundamental theorem of calculusLaw of tangentsPick's theoremInversive geometryAffine spaceLine segmentSpherical trigonometryParallel postulateSplitterSum of two squares theoremEuclidean distanceTangential and normal componentsJordan curve theoremGolden angleEuler lineCross-ratioEuler's formulaLaw of sinesTangent spaceQuadratic reciprocityPolygon triangulationEuclidean plane isometryTrigonometryPtolemy's inequalityKaramata's inequalityOrthogonalityProjections onto convex setsTangential angleSemi-major and semi-minor axesTriangulationSteinitz exchange lemmaCross productGreen's theoremEllipseHeron's formulaOrthogonal trajectorySection formulaDiagonalIsometryConvex setDistance from a point to a planeEuclidean divisionExcision theoremIntersectionTangent half-angle formulaGeneralized stokes theorem