X2784

ISOGONAL CONJUGATE OF X2700

X2784 is the isogonal conjugate of X2700.
< 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) { 10, 98 }: Central Line L(10, 98) { 1, 147 }: Central Line L(1, 147) { 99, 103 }: Central Line L(99, 103) { 114, 116 }: Central Line L(114, 116) { 115, 118 }: Central Line L(115, 118) { 148, 152 }: Central Line L(148, 152) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2700 = SR(X(98), X(101)) (-0.0071, 0.1593) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_98 = TARRY POINT (0.8891, -0.2281) X_1 = INCENTER (0.5714, 0.2333) X_147 = TARRY POINT OF ANTICOMPLEMENTARY TRIANGLE (-0.1660, 1.0561) X_99 = STEINER POINT (0.1109, 0.4322) X_103 = ANTIPODE OF X(101) (0.7857, -0.3208) X_114 = KIEPERT ANTIPODE (0.3616, 0.4140) X_116 = MIDPOINT OF X(4) AND X(103) (0.6990, 0.0375) X_115 = CENTER OF KIEPERT HYPERBOLA (0.7507, 0.0838) X_118 = MIDPOINT OF X(4) AND X(101) (0.4133, 0.4603) X_148 = STEINER POINT OF ANTICOMPLEMENTARY TRIANGLE (1.3904, -0.2646) X_152 = REFLECTION OF X(20) IN X(101) (0.0408, 1.2414) X_2784 = ISOGONAL CONJUGATE OF X(2700) (0.9291, -0.2371) A B C X2700 X10 X98 X1 X147 X99 X103 X114 X116 X115 X118 X148 X152 X2784 (a, b, c) = (5, 6, 7) | AB = 1

X2784 (ISOGONAL CONJUGATE OF X2700) 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 X2700
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines8 lines

{1, 147}, {8, 1281}, {10, 98}, {30, 511}, {99, 103}, {114, 116}, {115, 118}, {148, 152}

▸ Functional Relations4 relations