X1238

ISOTOMIC CONJUGATE OF X1179

X1238 is the isotomic conjugate of X1179.
< 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) { 3, 69 }: Central Line L(3, 69) { 311, 325 }: Central Line L(311, 325) { 1232, 1273 }: Central Line L(1232, 1273) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1179 = 1st SARAGOSSA POINT OF X(96) (0.6245, 0.4442) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_311 = ISOTOMIC CONJUGATE OF X(54) (0.4818, 0.1803) X_325 = -HIRST INVERSE OF X(69) (-0.3370, -0.7398) X_1232 = ISOTOMIC CONJUGATE OF X(1173) (0.4449, 0.1194) X_1273 = ISOTOMIC CONJUGATE OF X(1141) (-0.4628, -0.6917) X_1238 = ISOTOMIC CONJUGATE OF X(1179) (0.3603, 0.0438) A B C X1179 X3 X69 X311 X325 X1232 X1273 X1238 (a, b, c) = (5, 6, 7) | AB = 1

X1238 (ISOTOMIC CONJUGATE OF X1179) 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 X1179
Search Value (6, 9, 13): \(5.711707714677\)
▸ Incident Central Lines3 lines

{3, 69}, {311, 325}, {1232, 1273}

▸ Functional Relations1 relation