X2838

ISOGONAL CONJUGATE OF X2754

X2838 is the isogonal conjugate of X2754.
< 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, 105 }: Central Line L(28, 105) { 120, 127 }: Central Line L(120, 127) { 30, 511 }: Central Line L(30, 511) { 1292, 1297 }: Central Line L(1292, 1297) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2754 = SR(X(105), X(112)) (0.0002, -0.0008) X_28 = CEVAPOINT OF X(19) AND X(25) (0.6285, 0.4382) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_120 = -OF-MEDIAL-TRIANGLE (0.3204, 0.3466) 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_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_1297 = COLLINGS TRANSFORM OF X(127) (0.4838, -0.4080) X_2838 = ISOGONAL CONJUGATE OF X(2754) (0.8556, -0.2931) A B C X2754 X28 X105 X120 X127 X30 X511 X1292 X1297 X2838 (a, b, c) = (5, 6, 7) | AB = 1

X2838 (ISOGONAL CONJUGATE OF X2754) 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 X2754
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines4 lines

{28, 105}, {30, 511}, {120, 127}, {1292, 1297}

▸ Functional Relations1 relation