X1226

ISOTOMIC CONJUGATE OF X1167

X1226 is the isotomic conjugate of X1167.
< 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) { 10, 75 }: Central Line L(10, 75) { 85, 264 }: Central Line L(85, 264) { 311, 349 }: Central Line L(311, 349) { 86, 811 }: Central Line L(86, 811) { 1233, 1234 }: Central Line L(1233, 1234) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1167 = 1st SARAGOSSA POINT OF X(34) (0.5172, 0.1910) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_85 = ISOTOMIC CONJUGATE OF X(9) (0.5610, 0.2421) X_264 = ISOTOMIC CONJUGATE OF CIRCUMCENTER (0.5720, 0.3293) X_311 = ISOTOMIC CONJUGATE OF X(54) (0.4818, 0.1803) X_349 = ISOTOMIC CONJUGATE OF X(284) (0.5089, 0.1906) X_86 = CEVAPOINT OF INCENTER AND CENTROID (0.5534, 0.2171) X_811 = ISOGONAL CONJUGATE OF X(810) (0.4151, 0.5616) X_1233 = ISOTOMIC CONJUGATE OF X(1174) (0.4731, 0.1551) X_1234 = ISOTOMIC CONJUGATE OF X(1175) (0.4624, 0.1482) X_1226 = ISOTOMIC CONJUGATE OF X(1167) (0.5568, 0.2087) A B C X1167 X10 X75 X85 X264 X311 X349 X86 X811 X1233 X1234 X1226 (a, b, c) = (5, 6, 7) | AB = 1

X1226 (ISOTOMIC CONJUGATE OF X1167) 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 X1167
Search Value (6, 9, 13): \(3.083402225384\)
▸ Incident Central Lines5 lines

{10, 75}, {85, 264}, {86, 811}, {311, 349}, {1233, 1234}

▸ Functional Relations1 relation