X1239

ISOTOMIC CONJUGATE OF X1180

X1239 is the isotomic conjugate of X1180.
< 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) { 76, 251 }: Central Line L(76, 251) { 25, 1235 }: Central Line L(25, 1235) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1180 = 2nd SARAGOSSA POINT OF X(2) (0.5852, 0.2361) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_251 = ISOGONAL CONJUGATE OF X(141) (0.6177, 0.3042) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_1235 = ISOTOMIC CONJUGATE OF X(1176) (0.5483, 0.2901) X_1239 = ISOTOMIC CONJUGATE OF X(1180) (0.4817, 0.1646) A B C X1180 X76 X251 X25 X1235 X1239 (a, b, c) = (5, 6, 7) | AB = 1

X1239 (ISOTOMIC CONJUGATE OF X1180) 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 X1180
Search Value (6, 9, 13): \(4.168899130428\)
▸ Incident Central Lines2 lines

{25, 1235}, {76, 251}

▸ Functional Relations1 relation