X2211

X2-ISOCONJUGATE OF X336

X2211 = X232-Ceva conjugate of X237
< 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) { 4, 6 }: Van Aubel Line { 25, 263 }: Central Line L(25, 263) { 32, 682 }: Central Line L(32, 682) { 232, 511 }: Central Line L(232, 511) { 112, 1691 }: Central Line L(112, 1691) { 459, 1613 }: Central Line L(459, 1613) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_232 = -CEVA CONJUGATE OF X(132) (0.6919, 0.7779) X_237 = -LINE CONJUGATE OF X(2) (0.9894, 1.3825) X_4 = ORTHOCENTER (0.6122, 0.3958) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_263 = ISOGONAL CONJUGATE OF X(183) (0.6298, 0.3525) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_682 = POINT ARNEB (0.6397, 0.1604) X_511 = ISOGONAL CONJUGATE OF X(98) (0.2335, -0.3020) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_1691 = RADICAL TRACE OF CIRCUMCIRCLE AND 1st LEMOINE CIRCLE (0.9991, 0.9263) X_459 = -CEVA CONJUGATE OF X(4) (0.5934, 0.8103) X_1613 = TCC-PERSPECTOR OF X(31) (0.7015, 0.3763) X_2211 = -ISOCONJUGATE OF X(336) (0.6406, 0.6930) A B C X232 X237 X4 X6 X25 X263 X32 X682 X511 X112 X1691 X459 X1613 X2211 (a, b, c) = (5, 6, 7) | AB = 1

X2211 (X2-ISOCONJUGATE OF X336) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(a/f(a,b,c) : b/f(b,c,a) : c/f(c,a,b)\), where f(a,b,c) is as in X336
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(0.168534925201\)
▸ Incident Central Lines9 lines

{4, 6}, {25, 263}, {32, 682}, {112, 1691}, {182, 1968}, {186, 2076}, {232, 511}, {459, 1613}, {512, 1692}

▸ Functional Relations3 relations