X2808

ISOGONAL CONJUGATE OF X2724

X2808 is the isogonal conjugate of X2724.
< 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) { 3, 101 }: Central Line L(3, 101) { 5, 116 }: Central Line L(5, 116) { 4, 150 }: Central Line L(4, 150) { 40, 170 }: Central Line L(40, 170) { 84, 295 }: Central Line L(84, 295) { 30, 511 }: Central Line L(30, 511) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2724 = SR(X(101), X(103)) (-0.0037, 0.0205) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_116 = MIDPOINT OF X(4) AND X(103) (0.6990, 0.0375) X_4 = ORTHOCENTER (0.6122, 0.3958) X_150 = REFLECTION OF X(20) IN X(103) (1.1837, -0.4499) X_40 = BEVAN POINT (0.4286, -0.0292) X_170 = -ALEPH CONJUGATE OF X(9) (0.4465, -0.0557) X_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_295 = ISOGONAL CONJUGATE OF X(242) (1.0582, 0.0142) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_2808 = ISOGONAL CONJUGATE OF X(2724) (0.8660, -0.2863) A B C X2724 X3 X101 X5 X116 X4 X150 X40 X170 X84 X295 X30 X511 X2808 (a, b, c) = (5, 6, 7) | AB = 1

X2808 (ISOGONAL CONJUGATE OF X2724) 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 X2724
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines8 lines

{1, 1362}, {3, 101}, {4, 150}, {5, 116}, {30, 511}, {40, 170}, {84, 295}, {970, 1490}

▸ Functional Relations4 relations