X2797

ISOGONAL CONJUGATE OF X2713

X2797 is the isogonal conjugate of X2713.
< 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) { 99, 107 }: Central Line L(99, 107) { 115, 122 }: Central Line L(115, 122) { 114, 133 }: Central Line L(114, 133) { 30, 511 }: Central Line L(30, 511) { 4, 684 }: Central Line L(4, 684) { 98, 1294 }: Central Line L(98, 1294) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2713 = SR(X(99), X(107)) (0.9135, 0.4011) X_99 = STEINER POINT (0.1109, 0.4322) X_107 = Ψ(SYMMEDIAN POINT, ORTHOCENTER) (0.5733, 0.6071) X_115 = CENTER OF KIEPERT HYPERBOLA (0.7507, 0.0838) X_122 = -OF-MEDIAL-TRIANGLE (0.5195, -0.0036) X_114 = KIEPERT ANTIPODE (0.3616, 0.4140) X_133 = INTERSECTION OF LINES X(4)X(74) AND X(5)X(122) (0.5928, 0.5014) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_4 = ORTHOCENTER (0.6122, 0.3958) X_684 = CROSSDIFFERENCE OF X(4) AND X(32) (-1.3586, -0.3494) X_98 = TARRY POINT (0.8891, -0.2281) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_2797 = ISOGONAL CONJUGATE OF X(2713) (-0.0115, -0.0076) A B C X2713 X99 X107 X115 X122 X114 X133 X30 X511 X4 X684 X98 X1294 X2797 (a, b, c) = (5, 6, 7) | AB = 1

X2797 (ISOGONAL CONJUGATE OF X2713) 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 X2713
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines6 lines

{4, 684}, {30, 511}, {98, 1294}, {99, 107}, {114, 133}, {115, 122}

▸ Functional Relations2 relations