X2584

X4-ISOCONJUGATE OF X1113

X2584 = isogonal conjugate of X2586
< 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) { 521, 656 }: Central Line L(521, 656) { 1, 2582 }: Central Line L(1, 2582) { 48, 2578 }: Central Line L(48, 2578) { 73, 2574 }: Central Line L(73, 2574) 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_1822 = ISOGONAL CONJUGATE OF X(2588) (0.8290, 0.5718) X_521 = ISOGONAL CONJUGATE OF X(108) (1.1224, 0.1534) X_656 = CROSSDIFFERENCE OF X(1) AND X(19) (7.5714, -0.8554) X_2582 = -ISOCONJUGATE OF X(1113) (-4.3713, -0.2718) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_2578 = -ISOCONJUGATE OF X(1113) (5.2085, 0.4308) X_73 = CROSSPOINT OF INCENTER AND CIRCUMCENTER (0.5487, 0.1428) X_2574 = ISOGONAL CONJUGATE OF X(1113) (-0.0479, 0.1579) X_2584 = -ISOCONJUGATE OF X(1113) (-2.3491, -0.0651) A B C X1 X1822 X521 X656 X2582 X48 X2578 X73 X2574 X2584 (a, b, c) = (5, 6, 7) | AB = 1

X2584 (X4-ISOCONJUGATE OF X1113) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((\cos A)/f(a,b,c) : (\cos B)/f(b,c,a) : (\cos C)/f(c,a,b)\), where f(a,b,c) is as at X1113
Barycentrics: \((\sin 2A)/f(a,b,c) : (\sin 2B)/f(b,c,a) : (\sin 2C)/f(c,a,b)\)
Search Value (6, 9, 13): \(-43.578829711088\)
▸ Incident Central Lines4 lines

{1, 2582}, {48, 2578}, {73, 2574}, {521, 656}

▸ Functional Relations3 relations