X2827

ISOGONAL CONJUGATE OF X2743

X2827 is the isogonal conjugate of X2743.
< 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) { 104, 106 }: Central Line L(104, 106) { 119, 121 }: Central Line L(119, 121) { 30, 511 }: Central Line L(30, 511) { 11, 1357 }: Central Line L(11, 1357) { 100, 1293 }: Central Line L(100, 1293) { 1054, 1768 }: Central Line L(1054, 1768) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2743 = SR(X(104), X(106)) (0.8571, -0.2624) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_119 = FEUERBACH ANTIPODE (0.3776, 0.4312) X_121 = -OF-MEDIAL-TRIANGLE (0.3061, 0.2999) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_1357 = BRISSE TRANSFORM OF X(100) (0.8000, 0.1866) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_1054 = 6th SHARYGIN POINT (1.4286, -0.2333) X_1768 = MIMOSA TRANSFORM OF X(521) (1.1429, -0.7582) X_2827 = ISOGONAL CONJUGATE OF X(2743) (0.8180, 0.7154) A B C X2743 X104 X106 X119 X121 X30 X511 X11 X1357 X100 X1293 X1054 X1768 X2827 (a, b, c) = (5, 6, 7) | AB = 1

X2827 (ISOGONAL CONJUGATE OF X2743) 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 X2743
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines6 lines

{11, 1357}, {30, 511}, {100, 1293}, {104, 106}, {119, 121}, {1054, 1768}

▸ Functional Relations2 relations