X1222

ISOGONAL CONJUGATE OF X1201

X1222 is the isogonal conjugate of X1201.
< 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, 56 }: Central Line L(8, 56) { 10, 106 }: Central Line L(10, 106) { 6, 145 }: Central Line L(6, 145) { 1, 341 }: Central Line L(1, 341) { 75, 269 }: Central Line L(75, 269) { 34, 318 }: Central Line L(34, 318) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_8 = NAGEL POINT (0.4694, 0.1333) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_106 = Λ(INCENTER, CENTROID) (1.0000, 0.0000) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_341 = ISOTOMIC CONJUGATE OF X(269) (0.3509, 0.0650) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_269 = ISOGONAL CONJUGATE OF X(200) (0.6369, 0.3847) X_34 = -BETH CONJUGATE OF X(4) (0.6332, 0.4792) X_318 = ISOTOMIC CONJUGATE OF X(77) (0.5514, 0.2839) X_1222 = ISOGONAL CONJUGATE OF X(1201) (0.5108, 0.1870) A B C X1 X8 X56 X10 X106 X6 X145 X341 X75 X269 X34 X318 X1222 (a, b, c) = (5, 6, 7) | AB = 1

X1222 (ISOGONAL CONJUGATE OF X1201) 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 X1201
Search Value (6, 9, 13): \(3.289153915385\)
▸ Incident Central Lines8 lines

{1, 341}, {6, 145}, {8, 56}, {10, 106}, {34, 318}, {58, 519}, {75, 269}, {190, 3057}

▸ Functional Relations7 relations