X1552

ORTHOJOIN OF X112

< 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) { 74, 403 }: Central Line L(74, 403) { 4, 523 }: Central Line L(4, 523) { 30, 1294 }: Central Line L(30, 1294) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_403 = OF THE ORTHIC TRIANGLE (0.7040, 0.6358) X_4 = ORTHOCENTER (0.6122, 0.3958) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_1294 = COLLINGS TRANSFORM OF X(122) (0.4267, -0.4030) X_1552 = ORTHOJOIN OF X(112) (0.7167, 0.3558) A B C X74 X403 X4 X523 X30 X1294 X1552 (a, b, c) = (5, 6, 7) | AB = 1

X1552 (ORTHOJOIN OF X112) 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 X1512)
Search Value (6, 9, 13): \(-5.525760954496\)
▸ Incident Central Lines3 lines

{4, 523}, {30, 1294}, {74, 403}