X2844

ISOGONAL CONJUGATE OF X2760

X2844 is the isogonal conjugate of X2760.
< 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) { 106, 112 }: Central Line L(106, 112) { 121, 127 }: Central Line L(121, 127) { 30, 511 }: Central Line L(30, 511) { 923, 1042 }: Central Line L(923, 1042) { 1293, 1297 }: Central Line L(1293, 1297) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2760 = SR(X(106), X(112)) (-0.0103, 0.0962) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_121 = -OF-MEDIAL-TRIANGLE (0.3061, 0.2999) X_127 = -OF-MEDIAL-TRIANGLE (0.5480, -0.0061) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_923 = POINT ALBIREO (1.0002, -0.0544) X_1042 = CROSSPOINT OF X(1) AND X(64) (0.6427, 0.3981) X_1293 = COLLINGS TRANSFORM OF X(121) (0.0000, 0.2041) X_1297 = COLLINGS TRANSFORM OF X(127) (0.4838, -0.4080) X_2844 = ISOGONAL CONJUGATE OF X(2760) (-2812745.4475, 3558964.8224) A B C X2760 X106 X112 X121 X127 X30 X511 X923 X1042 X1293 X1297 X2844 (a, b, c) = (5, 6, 7) | AB = 1

X2844 (ISOGONAL CONJUGATE OF X2760) 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 X2760
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines5 lines

{30, 511}, {106, 112}, {121, 127}, {923, 1042}, {1293, 1297}

▸ Functional Relations1 relation