X1225

ISOTOMIC CONJUGATE OF X1166

X1225 is the isotomic conjugate of X1166.
< 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, 95 }: Central Line L(76, 95) { 5, 311 }: Central Line L(5, 311) { 339, 1232 }: Central Line L(339, 1232) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1166 = 1st SARAGOSSA POINT OF X(5) (0.6183, 0.2746) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_95 = CEVAPOINT OF CENTROID AND CIRCUMCENTER (0.5172, 0.1562) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_311 = ISOTOMIC CONJUGATE OF X(54) (0.4818, 0.1803) X_339 = ISOTOMIC CONJUGATE OF X(250) (0.6002, 0.0170) X_1232 = ISOTOMIC CONJUGATE OF X(1173) (0.4449, 0.1194) X_1225 = ISOTOMIC CONJUGATE OF X(1166) (0.4279, 0.1305) A B C X1166 X76 X95 X5 X311 X339 X1232 X1225 (a, b, c) = (5, 6, 7) | AB = 1

X1225 (ISOTOMIC CONJUGATE OF X1166) 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 X1166
Search Value (6, 9, 13): \(8.861063895292\)
▸ Incident Central Lines4 lines

{5, 311}, {69, 2888}, {76, 95}, {339, 1232}

▸ Functional Relations1 relation