X1234

ISOTOMIC CONJUGATE OF X1175

X1234 is the isotomic conjugate of X1175.
< 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) { 12, 313 }: Central Line L(12, 313) { 312, 1230 }: Central Line L(312, 1230) { 1226, 1233 }: Central Line L(1226, 1233) { 1227, 1269 }: Central Line L(1227, 1269) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1175 = 1st SARAGOSSA POINT OF X(65) (0.5976, 0.2549) X_4 = ORTHOCENTER (0.6122, 0.3958) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_12 = {X(1),X(5)}-HARMONIC CONJUGATE OF X(11) (0.5641, 0.2407) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_1230 = ISOTOMIC CONJUGATE OF X(1171) (0.4472, 0.1317) X_1226 = ISOTOMIC CONJUGATE OF X(1167) (0.5568, 0.2087) X_1233 = ISOTOMIC CONJUGATE OF X(1174) (0.4731, 0.1551) X_1227 = ISOTOMIC CONJUGATE OF X(1168) (0.2551, 0.2499) X_1269 = ISOTOMIC CONJUGATE OF X(1126) (0.4669, 0.1460) X_1234 = ISOTOMIC CONJUGATE OF X(1175) (0.4624, 0.1482) A B C X1175 X4 X69 X12 X313 X312 X1230 X1226 X1233 X1227 X1269 X1234 (a, b, c) = (5, 6, 7) | AB = 1

X1234 (ISOTOMIC CONJUGATE OF X1175) 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 X1175
Search Value (6, 9, 13): \(4.590315007359\)
▸ Incident Central Lines5 lines

{4, 69}, {12, 313}, {312, 1230}, {1226, 1233}, {1227, 1269}

▸ Functional Relations1 relation