X2828

ISOGONAL CONJUGATE OF X2744

X2828 is the isogonal conjugate of X2744.
< 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) { 28, 104 }: Central Line L(28, 104) { 11, 133 }: Central Line L(11, 133) { 119, 122 }: Central Line L(119, 122) { 30, 511 }: Central Line L(30, 511) { 100, 1294 }: Central Line L(100, 1294) { 1715, 1768 }: Central Line L(1715, 1768) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2744 = SR(X(104), X(107)) (0.1157, -0.2337) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_133 = INTERSECTION OF LINES X(4)X(74) AND X(5)X(122) (0.5928, 0.5014) X_119 = FEUERBACH ANTIPODE (0.3776, 0.4312) X_122 = -OF-MEDIAL-TRIANGLE (0.5195, -0.0036) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_1715 = MIMOSA TRANSFORM OF X(29) (0.7264, 0.5179) X_1768 = MIMOSA TRANSFORM OF X(521) (1.1429, -0.7582) X_2828 = ISOGONAL CONJUGATE OF X(2744) (0.3553, 0.7579) A B C X2744 X28 X104 X11 X133 X119 X122 X30 X511 X100 X1294 X1715 X1768 X2828 (a, b, c) = (5, 6, 7) | AB = 1

X2828 (ISOGONAL CONJUGATE OF X2744) 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 X2744
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines6 lines

{11, 133}, {28, 104}, {30, 511}, {100, 1294}, {119, 122}, {1715, 1768}

▸ Functional Relations1 relation