X2809

ISOGONAL CONJUGATE OF X2725

X2809 is the isogonal conjugate of X2725.
< 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) { 1, 41 }: Central Line L(1, 41) { 10, 116 }: Central Line L(10, 116) { 40, 103 }: Central Line L(40, 103) { 8, 150 }: Central Line L(8, 150) { 30, 511 }: Central Line L(30, 511) { 118, 946 }: Central Line L(118, 946) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2725 = SR(X(101), X(105)) (0.0347, 0.3116) X_1 = INCENTER (0.5714, 0.2333) X_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_116 = MIDPOINT OF X(4) AND X(103) (0.6990, 0.0375) X_40 = BEVAN POINT (0.4286, -0.0292) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_8 = NAGEL POINT (0.4694, 0.1333) X_150 = REFLECTION OF X(20) IN X(103) (1.1837, -0.4499) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_946 = MIDPOINT OF X(1) AND X(4) (0.5918, 0.3145) X_2809 = ISOGONAL CONJUGATE OF X(2725) (0.9920, -0.1712) A B C X2725 X1 X41 X10 X116 X40 X103 X8 X150 X30 X511 X118 X946 X2809 (a, b, c) = (5, 6, 7) | AB = 1

X2809 (ISOGONAL CONJUGATE OF X2725) 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 X2725
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines8 lines

{1, 41}, {8, 150}, {10, 116}, {30, 511}, {40, 103}, {65, 1358}, {118, 946}, {152, 962}

▸ Functional Relations1 relation