X2192

X2-ISOCONJUGATE OF X223

X2192 = isogonal conjugate of X347
< 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) { 6, 33 }: Central Line L(6, 33) { 1, 84 }: Central Line L(1, 84) { 48, 55 }: Central Line L(48, 55) { 56, 64 }: Central Line L(56, 64) { 200, 219 }: Central Line L(200, 219) { 212, 220 }: Central Line L(212, 220) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_347 = ISOTOMIC CONJUGATE OF X(280) (0.4531, -0.0404) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_1 = INCENTER (0.5714, 0.2333) X_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_48 = CROSSPOINT OF X(1) AND X(63) (0.5412, 0.1246) X_55 = INSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.5490, 0.1921) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_64 = ISOGONAL CONJUGATE OF X(20) (0.5579, 1.5943) X_200 = -CEVA CONJUGATE OF X(9) (0.4392, 0.1037) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_212 = -CEVA CONJUGATE OF X(41) (0.4719, 0.0786) X_220 = -CEVA CONJUGATE OF X(55) (0.4826, 0.1278) X_2192 = -ISOCONJUGATE OF X(223) (0.6097, 0.7143) A B C X347 X6 X33 X1 X84 X48 X55 X56 X64 X200 X219 X212 X220 X2192 (a, b, c) = (5, 6, 7) | AB = 1

X2192 (X2-ISOCONJUGATE OF X223) 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 X223
Barycentrics: \(a^{2}/f(a,b,c) : b^{2}/f(b,c,a): c^{2}/f(c,a,b)\)
Search Value (6, 9, 13): \(4.230875298795\)
▸ Incident Central Lines13 lines

{1, 84}, {6, 33}, {11, 1853}, {48, 55}, {56, 64}, {103, 1617}, {189, 1814}, {200, 219}, {212, 220}, {268, 2193}, {280, 285}, {497, 1503}, {2194, 2332}

▸ Functional Relations7 relations