X2836

ISOGONAL CONJUGATE OF X2752

X2836 is the isogonal conjugate of X2752.
< 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) { 67, 72 }: Central Line L(67, 72) { 81, 105 }: Central Line L(81, 105) { 120, 125 }: Central Line L(120, 125) { 30, 511 }: Central Line L(30, 511) { 65, 651 }: Central Line L(65, 651) { 74, 1292 }: Central Line L(74, 1292) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2752 = SR(X(105), X(110)) (0.0184, 0.2709) X_67 = ISOGONAL CONJUGATE OF X(23) (0.7606, -0.2152) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_120 = -OF-MEDIAL-TRIANGLE (0.3204, 0.3466) 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_65 = ORTHOCENTER OF THE INTOUCH TRIANGLE (0.6041, 0.2933) X_651 = TRILINEAR POLE OF LINE X(1)X(3) (0.3048, 0.5599) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_2836 = ISOGONAL CONJUGATE OF X(2752) (0.0992, 0.5903) A B C X2752 X67 X72 X81 X105 X120 X125 X30 X511 X65 X651 X74 X1292 X2836 (a, b, c) = (5, 6, 7) | AB = 1

X2836 (ISOGONAL CONJUGATE OF X2752) 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 X2752
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines8 lines

{1, 2930}, {6, 1718}, {30, 511}, {65, 651}, {67, 72}, {74, 1292}, {81, 105}, {120, 125}

▸ Functional Relations3 relations