X1179

1st SARAGOSSA POINT OF X96

X1179 = cevapoint of X25 and X53
< 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) { 24, 264 }: Central Line L(24, 264) { 93, 324 }: Central Line L(93, 324) { 4, 569 }: Central Line L(4, 569) { 25, 847 }: Central Line L(25, 847) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1216 = ISOGONAL CONJUGATE OF X(1179) (0.4484, 0.0709) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.6627, 0.5278) X_264 = ISOTOMIC CONJUGATE OF CIRCUMCENTER (0.5720, 0.3293) X_93 = ISOGONAL CONJUGATE OF X(49) (0.5299, 0.2878) X_324 = ISOTOMIC CONJUGATE OF X(97) (0.5855, 0.3796) X_4 = ORTHOCENTER (0.6122, 0.3958) X_569 = HARMONIC OF X(52) (0.5651, 0.2096) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_847 = -CROSS CONJUGATE OF X(4) (-0.1806, -0.0821) X_1179 = 1st SARAGOSSA POINT OF X(96) (0.6245, 0.4442) A B C X1216 X24 X264 X93 X324 X4 X569 X25 X847 X1179 (a, b, c) = (5, 6, 7) | AB = 1

X1179 (1st SARAGOSSA POINT OF X96) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1166)
Search Value (6, 9, 13): \(-0.100135447727\)
▸ Incident Central Lines4 lines

{4, 569}, {24, 264}, {25, 847}, {93, 324}

▸ Functional Relations6 relations