X1307

COLLINGS TRANSFORM OF X640

X1307 = trilinear pole of line X6X494
< 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) { 111, 494 }: Central Line L(111, 494) { 98, 638 }: Central Line L(98, 638) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_111 = PARRY POINT (0.9885, -0.0457) X_494 = 2nd VAN LAMOEN HOMOTHETIC CENTER (0.8529, 0.5391) X_98 = TARRY POINT (0.8891, -0.2281) X_638 = ANTICOMPLEMENT OF X(372) (0.1827, -0.3137) X_1307 = COLLINGS TRANSFORM OF X(640) (1.0269, -0.2114) A B C X111 X494 X98 X638 X1307 (a, b, c) = (5, 6, 7) | AB = 1

X1307 (COLLINGS TRANSFORM OF X640) 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): \(12.208472871690\)

X1307 lies on the circumcircle.

▸ Incident Central Lines2 lines

{98, 638}, {111, 494}

▸ Functional Relations2 relations