X2792

ISOGONAL CONJUGATE OF X2708

X2792 is the isogonal conjugate of X2708.
< 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, 102 }: Central Line L(99, 102) { 98, 109 }: Central Line L(98, 109) { 63, 147 }: Central Line L(63, 147) { 115, 117 }: Central Line L(115, 117) { 114, 124 }: Central Line L(114, 124) { 148, 151 }: Central Line L(148, 151) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2708 = SR(X(98), X(109)) (0.0010, -0.0050) X_99 = STEINER POINT (0.1109, 0.4322) X_102 = Λ(INCENTER, ORTHOCENTER) (0.6364, -0.3897) X_98 = TARRY POINT (0.8891, -0.2281) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_147 = TARRY POINT OF ANTICOMPLEMENTARY TRIANGLE (-0.1660, 1.0561) X_115 = CENTER OF KIEPERT HYPERBOLA (0.7507, 0.0838) X_117 = MIDPOINT OF X(4) AND X(109) (0.4879, 0.4948) X_114 = KIEPERT ANTIPODE (0.3616, 0.4140) X_124 = -OF-MEDIAL-TRIANGLE (0.6243, 0.0030) X_148 = STEINER POINT OF ANTICOMPLEMENTARY TRIANGLE (1.3904, -0.2646) X_151 = REFLECTION OF X(20) IN X(109) (0.3395, 1.3793) X_2792 = ISOGONAL CONJUGATE OF X(2708) (0.8535, -0.2945) A B C X2708 X99 X102 X98 X109 X63 X147 X115 X117 X114 X124 X148 X151 X2792 (a, b, c) = (5, 6, 7) | AB = 1

X2792 (ISOGONAL CONJUGATE OF X2708) 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 X2708
Barycentrics: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\)
▸ Incident Central Lines11 lines

{4, 1046}, {30, 511}, {40, 1330}, {58, 946}, {63, 147}, {98, 109}, {99, 102}, {114, 124}, {115, 117}, {148, 151}, {573, 1761}

▸ Functional Relations4 relations