X2580

X6-ISOCONJUGATE OF X2574

X2580 = isogonal conjugate of X2578
< 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) { 19, 27 }: Central Line L(19, 27) { 100, 1113 }: Central Line L(100, 1113) { 162, 1822 }: Central Line L(162, 1822) { 662, 2576 }: Central Line L(662, 2576) { 1821, 2579 }: Central Line L(1821, 2579) { 240, 2587 }: Central Line L(240, 2587) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2578 = -ISOCONJUGATE OF X(1113) (5.2085, 0.4308) X_19 = CLAWSON POINT (0.6246, 0.4244) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) 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_662 = TRILINEAR POLE OF LINE X(1)X(21) (0.1811, 0.4951) X_2576 = -ISOCONJUGATE OF X(2574) (0.6671, 0.5770) X_1821 = ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X(287) (0.8340, -0.1768) X_2579 = -ISOCONJUGATE OF X(1114) (0.2632, 3.1227) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_2587 = -ISOCONJUGATE OF X(2575) (1.1547, 3.4774) X_2580 = -ISOCONJUGATE OF X(2574) (0.7025, 0.5830) A B C X2578 X19 X27 X100 X1113 X162 X1822 X662 X2576 X1821 X2579 X240 X2587 X2580 (a, b, c) = (5, 6, 7) | AB = 1

X2580 (X6-ISOCONJUGATE OF X2574) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \((1/a)f(a,b,c) : (1/b)f(b,c,a) : (1/c)/f(c,a,b)\), where f(a,b,c) is as at X1113
Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\)
Search Value (6, 9, 13): \(0.832905867145\)
▸ Incident Central Lines8 lines

{19, 27}, {100, 1113}, {162, 1822}, {240, 2587}, {662, 2576}, {897, 2589}, {1821, 2579}, {2349, 2583}

▸ Functional Relations5 relations