X1287

COLLINGS TRANSFORM OF X23

< 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) { 5, 842 }: Central Line L(5, 842) { 110, 826 }: Central Line L(110, 826) { 523, 827 }: Central Line L(523, 827) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_5 = NINE-POINT CENTER (0.5561, 0.2489) X_842 = ISOGONAL CONJUGATE OF X(542) (-0.0101, 0.1156) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_826 = ODD (0, 4) INFINITY POINT (1.1003, 0.0340) X_523 = ISOGONAL CONJUGATE OF X(110) (1.0856, -0.0096) X_827 = o-(0, 4) CIRCUMCIRCLE POINT (0.3242, 0.5811) X_1287 = COLLINGS TRANSFORM OF X(23) (0.9505, 0.3418) A B C X5 X842 X110 X826 X523 X827 X1287 (a, b, c) = (5, 6, 7) | AB = 1

X1287 (COLLINGS TRANSFORM OF X23) 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 X1286)
Search Value (6, 9, 13): \(0.362941479632\)

X1287 lies on the circumcircle.

▸ Incident Central Lines3 lines

{5, 842}, {110, 826}, {523, 827}