X2587

X3-ISOCONJUGATE OF X2575

X2587 = isogonal conjugate of X2585
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 1, 29 }: Central Line L(1, 29) { 108, 1114 }: Central Line L(108, 1114) { 162, 1823 }: Central Line L(162, 1823) { 240, 2580 }: Central Line L(240, 2580) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2585 = -ISOCONJUGATE OF X(1114) (0.5804, -0.2985) X_1 = INCENTER (0.5714, 0.2333) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_1114 = 2nd EULER-LINE-CIRCUMCIRCLE INTERSECTION (0.3178, -0.3746) X_162 = CEVAPOINT OF X(108) AND X(109) (0.4897, 0.6018) X_1823 = ISOGONAL CONJUGATE OF X(2589) (0.3317, -0.0818) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_2580 = -ISOCONJUGATE OF X(2574) (0.7025, 0.5830) X_2587 = -ISOCONJUGATE OF X(2575) (1.1547, 3.4774) A B C X2585 X1 X29 X108 X1114 X162 X1823 X240 X2580 X2587 (a, b, c) = (5, 6, 7) | AB = 1

X2587 (X3-ISOCONJUGATE OF X2575) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\sec A)f(a,b,c) : (\sec B)f(b,c,a) : (\sec C)f(c,a,b)\), where f(a,b,c) is as at X1114
Barycentrics: \((\tan A)f(a,b,c) : (\tan B)f(b,c,a) : (\tan C)f(c,a,b)\)
Search Value (6, 9, 13): \(1.309671123067\)
▸ Incident Central Lines4 lines

{1, 29}, {108, 1114}, {162, 1823}, {240, 2580}

▸ Functional Relations1 relation