X2582

X6-ISOCONJUGATE OF X1113

X2582 = isogonal conjugate of X2576
< 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) { 514, 661 }: Central Line L(514, 661) { 293, 1823 }: Central Line L(293, 1823) { 63, 2578 }: Central Line L(63, 2578) { 72, 2574 }: Central Line L(72, 2574) { 662, 2576 }: Central Line L(662, 2576) { 2349, 2581 }: Central Line L(2349, 2581) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2576 = -ISOCONJUGATE OF X(2574) (0.6671, 0.5770) X_514 = ISOGONAL CONJUGATE OF X(101) (1.0761, -0.0329) X_661 = CROSSDIFFERENCE OF X(1) AND X(21) (48.4286, -23.0952) X_293 = ISOGONAL CONJUGATE OF X(240) (0.7839, -0.0636) X_1823 = ISOGONAL CONJUGATE OF X(2589) (0.3317, -0.0818) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_2578 = -ISOCONJUGATE OF X(1113) (5.2085, 0.4308) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_2574 = ISOGONAL CONJUGATE OF X(1113) (-0.0479, 0.1579) X_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_2349 = -ISOCONJUGATE OF X(1495) (0.6786, -0.2504) X_2581 = -ISOCONJUGATE OF X(2575) (0.2923, -0.2520) X_2582 = -ISOCONJUGATE OF X(1113) (-4.3713, -0.2718) A B C X2576 X514 X661 X293 X1823 X63 X2578 X72 X2574 X662 X2349 X2581 X2582 (a, b, c) = (5, 6, 7) | AB = 1

X2582 (X6-ISOCONJUGATE OF X1113) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(bc/f(a,b,c) : ca/f(b,c,a) : ab/f(c,a,b)\), where f(a,b,c) is as at X1113
Barycentrics: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\)
Search Value (6, 9, 13): \(27.437044299534\)
▸ Incident Central Lines8 lines

{1, 2584}, {63, 2578}, {72, 2574}, {226, 2592}, {293, 1823}, {514, 661}, {662, 2576}, {2349, 2581}

▸ Functional Relations2 relations