X1256

ISOGONAL CONJUGATE OF X1103

X1256 is the isogonal conjugate of X1103.
< 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) { 56, 84 }: Central Line L(56, 84) { 1, 280 }: Central Line L(1, 280) { 6, 282 }: Central Line L(6, 282) { 58, 285 }: Central Line L(58, 285) { 189, 937 }: Central Line L(189, 937) { 271, 936 }: Central Line L(271, 936) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1103 = TRILINEAR SQUARE OF X(40) (0.3353, 0.0019) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_84 = ISOGONAL CONJUGATE OF X(40) (0.6071, 0.6816) X_1 = INCENTER (0.5714, 0.2333) X_280 = -CROSS CONJUGATE OF X(8) (0.6379, 0.8041) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_282 = -CROSS CONJUGATE OF X(9) (0.6199, 0.7507) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_285 = -CROSS CONJUGATE OF X(21) (0.6147, 0.7300) X_189 = CYCLOCEVIAN CONJUGATE OF X(8) (0.6131, 0.7055) X_937 = ISOGONAL CONJUGATE OF X(936) (0.6143, 0.2920) X_271 = ISOGONAL CONJUGATE OF X(208) (1.1546, 2.8606) X_936 = INTERSECTION OF LINES X(1)X(2) AND X(3)X(9) (0.5138, 0.1768) X_1256 = ISOGONAL CONJUGATE OF X(1103) (0.6135, 0.5942) A B C X1103 X56 X84 X1 X280 X6 X282 X58 X285 X189 X937 X271 X936 X1256 (a, b, c) = (5, 6, 7) | AB = 1

X1256 (ISOGONAL CONJUGATE OF X1103) 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 X1103)
Search Value (6, 9, 13): \(1.128460894248\)
▸ Incident Central Lines6 lines

{1, 280}, {6, 282}, {56, 84}, {58, 285}, {189, 937}, {271, 936}

▸ Functional Relations2 relations