X1236

ISOTOMIC CONJUGATE OF X1177

X1236 is the isotomic conjugate of X1177.
< 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, 69 }: Central Line L(4, 69) { 325, 339 }: Central Line L(325, 339) { 826, 850 }: Central Line L(826, 850) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1177 = 1st SARAGOSSA POINT OF X(67) (0.7694, -1.0073) X_4 = ORTHOCENTER (0.6122, 0.3958) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_325 = -HIRST INVERSE OF X(69) (-0.3370, -0.7398) X_339 = ISOTOMIC CONJUGATE OF X(250) (0.6002, 0.0170) X_826 = ODD (0, 4) INFINITY POINT (1.1003, 0.0340) X_850 = BARYCENTRIC MULTIPLIER FOR KIEPERT HYPERBOLA (-6.8003, 1.7304) X_1236 = ISOTOMIC CONJUGATE OF X(1177) (0.1751, -0.3263) A B C X1177 X4 X69 X325 X339 X826 X850 X1236 (a, b, c) = (5, 6, 7) | AB = 1

X1236 (ISOTOMIC CONJUGATE OF X1177) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/(a^{2}f(a,b,c)) : 1/(b^{2}f(b,c,a)) : 1/(c^{2}f(c,a,b))\), where f(a,b,c) is as in X1177
Search Value (6, 9, 13): \(5.694676763153\)
▸ Incident Central Lines3 lines

{4, 69}, {325, 339}, {826, 850}

▸ Functional Relations1 relation