X2842

ISOGONAL CONJUGATE OF X2758

X2842 is the isogonal conjugate of X2758.
< 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) { 58, 106 }: Central Line L(58, 106) { 121, 125 }: Central Line L(121, 125) { 30, 511 }: Central Line L(30, 511) { 74, 1293 }: Central Line L(74, 1293) { 1046, 1054 }: Central Line L(1046, 1054) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2758 = SR(X(106), X(110)) (0.0594, 0.3595) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_121 = -OF-MEDIAL-TRIANGLE (0.3061, 0.2999) X_125 = CENTER OF JERABEK HYPERBOLA (0.6803, 0.0260) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_1046 = -CEVA CONJUGATE OF X(1) (0.6500, 0.3366) X_1054 = 6th SHARYGIN POINT (1.4286, -0.2333) X_2842 = ISOGONAL CONJUGATE OF X(2758) (1.0110, -0.1467) A B C X2758 X58 X106 X121 X125 X30 X511 X74 X1293 X1046 X1054 X2842 (a, b, c) = (5, 6, 7) | AB = 1

X2842 (ISOGONAL CONJUGATE OF X2758) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/f(a,b,c) : 1/f(b,c,a) : 1/f(c,a,b)\), where f(a,b,c) is as at X2758
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines5 lines

{30, 511}, {58, 106}, {74, 1293}, {121, 125}, {1046, 1054}

▸ Functional Relations4 relations