X1219

ISOGONAL CONJUGATE OF X1191

X1219 is the isogonal conjugate of X1191.
< 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) { 8, 57 }: Central Line L(8, 57) { 81, 145 }: Central Line L(81, 145) { 2, 341 }: Central Line L(2, 341) { 1, 346 }: Central Line L(1, 346) { 75, 279 }: Central Line L(75, 279) { 278, 318 }: Central Line L(278, 318) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1191 = 2nd SARAGOSSA POINT OF X(56) (0.6211, 0.2922) X_8 = NAGEL POINT (0.4694, 0.1333) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_2 = CENTROID (0.5374, 0.2000) X_341 = ISOTOMIC CONJUGATE OF X(269) (0.3509, 0.0650) X_1 = INCENTER (0.5714, 0.2333) X_346 = ISOTOMIC CONJUGATE OF X(279) (0.3948, 0.0827) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_279 = ISOGONAL CONJUGATE OF X(220) (0.6236, 0.3540) X_278 = ISOGONAL CONJUGATE OF X(219) (0.6278, 0.4577) X_318 = ISOTOMIC CONJUGATE OF X(77) (0.5514, 0.2839) X_1219 = ISOGONAL CONJUGATE OF X(1191) (0.5037, 0.1756) A B C X1191 X8 X57 X81 X145 X2 X341 X1 X346 X75 X279 X278 X318 X1219 (a, b, c) = (5, 6, 7) | AB = 1

X1219 (ISOGONAL CONJUGATE OF X1191) 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 in X1191
Search Value (6, 9, 13): \(3.543895068126\)
▸ Incident Central Lines10 lines

{1, 346}, {2, 341}, {8, 57}, {28, 956}, {72, 957}, {75, 279}, {81, 145}, {105, 958}, {278, 318}, {518, 959}

▸ Functional Relations3 relations