X2826

ISOGONAL CONJUGATE OF X2742

X2826 is the isogonal conjugate of X2742.
< 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, 105 }: Central Line L(104, 105) { 119, 120 }: Central Line L(119, 120) { 30, 511 }: Central Line L(30, 511) { 3, 659 }: Central Line L(3, 659) { 11, 1111 }: Central Line L(11, 1111) { 100, 1292 }: Central Line L(100, 1292) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1156 = ISOGONAL CONJUGATE OF X(1155) (0.8791, -0.1436) X_11 = FEUERBACH POINT (0.7347, 0.0667) X_104 = ANTIPODE OF X(100) (0.8571, -0.2624) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_119 = FEUERBACH ANTIPODE (0.3776, 0.4312) X_120 = -OF-MEDIAL-TRIANGLE (0.3204, 0.3466) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_659 = CROSSDIFFERENCE OF X(1) AND X(39) (1.9286, 2.2162) X_1111 = TRILINEAR SQUARE OF X(514) (0.7470, 0.0849) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_2826 = ISOGONAL CONJUGATE OF X(2742) (0.8660, 0.6862) A B C X1156 X11 X104 X105 X119 X120 X30 X511 X3 X659 X1111 X100 X1292 X2826 (a, b, c) = (5, 6, 7) | AB = 1

X2826 (ISOGONAL CONJUGATE OF X2742) 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 X2742
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines9 lines

{3, 659}, {11, 1111}, {30, 511}, {100, 1292}, {104, 105}, {119, 120}, {654, 1768}, {1320, 2403}, {1385, 1960}

▸ Functional Relations3 relations