X2775

ISOGONAL CONJUGATE OF X2691

As the isogonal conjugate of a point on the circumcircle, X2775 lies on the line at infinity.
< 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) { 74, 105 }: Central Line L(74, 105) { 113, 120 }: Central Line L(113, 120) { 30, 511 }: Central Line L(30, 511) { 110, 1292 }: Central Line L(110, 1292) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2691 = SR(X(74), X(105)) (0.9816, -0.0668) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_105 = Λ(INCENTER, SYMMEDIAN POINT) (0.9714, -0.0933) X_113 = JERABEK ANTIPODE (0.4319, 0.4718) 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_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_1292 = COLLINGS TRANSFORM OF X(55) (0.0286, 0.2974) X_2775 = ISOGONAL CONJUGATE OF X(2691) (0.1471, -0.2383) A B C X2691 X74 X105 X113 X120 X30 X511 X110 X1292 X2775 (a, b, c) = (5, 6, 7) | AB = 1

X2775 (ISOGONAL CONJUGATE OF X2691) 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 X2691
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines4 lines

{30, 511}, {74, 105}, {110, 1292}, {113, 120}

▸ Functional Relations1 relation