X2586

X3-ISOCONJUGATE OF X2574

X2586 = isogonal conjugate of X2584
< 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, 1113 }: Central Line L(108, 1113) { 162, 1822 }: Central Line L(162, 1822) { 240, 2581 }: Central Line L(240, 2581) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_2588 = -ISOCONJUGATE OF X(1113) (2.4671, 0.4270) X_29 = CEVAPOINT OF INCENTER AND ORTHOCENTER (0.5903, 0.3384) X_108 = Ψ(CIRCUMCENTER, INCENTER) (0.5320, 0.6114) X_1113 = 1st EULER-LINE-CIRCUMCIRCLE INTERSECTION (0.6822, 0.5787) X_162 = CEVAPOINT OF X(108) AND X(109) (0.4897, 0.6018) X_1822 = ISOGONAL CONJUGATE OF X(2588) (0.8290, 0.5718) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_2581 = -ISOCONJUGATE OF X(2575) (0.2923, -0.2520) X_2586 = -ISOCONJUGATE OF X(2574) (0.6354, 0.5889) A B C X1 X2588 X29 X108 X1113 X162 X1822 X240 X2581 X2586 (a, b, c) = (5, 6, 7) | AB = 1

X2586 (X3-ISOCONJUGATE OF X2574) 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 X1113
Barycentrics: \((\tan A)f(a,b,c) : (\tan B)f(b,c,a) : (\tan C)f(c,a,b)\)
Search Value (6, 9, 13): \(-0.192293005856\)
▸ Incident Central Lines4 lines

{1, 29}, {108, 1113}, {162, 1822}, {240, 2581}

▸ Functional Relations2 relations