X1240

ISOTOMIC CONJUGATE OF X1193

X1240 is the isotomic conjugate of X1193.
< 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) { 7, 76 }: Central Line L(7, 76) { 86, 313 }: Central Line L(86, 313) { 75, 1237 }: Central Line L(75, 1237) { 903, 1269 }: Central Line L(903, 1269) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1193 = 3rd SARAGOSSA POINT OF X(1) (0.5959, 0.2573) X_7 = GERGONNE POINT (0.5903, 0.2769) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_1237 = ISOTOMIC CONJUGATE OF X(1178) (0.4528, 0.1395) X_903 = -BLAIKIE TRANSFORM OF X(2) (1.0000, 0.0000) X_1269 = ISOTOMIC CONJUGATE OF X(1126) (0.4669, 0.1460) X_1240 = ISOTOMIC CONJUGATE OF X(1193) (0.4643, 0.1467) A B C X1193 X7 X76 X86 X313 X75 X1237 X903 X1269 X1240 (a, b, c) = (5, 6, 7) | AB = 1

X1240 (ISOTOMIC CONJUGATE OF X1193) 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 X1193
Search Value (6, 9, 13): \(4.606605507116\)
▸ Incident Central Lines4 lines

{7, 76}, {75, 1237}, {86, 313}, {903, 1269}

▸ Functional Relations2 relations