X1306

COLLINGS TRANSFORM OF X639

X1306 = trilinear pole of line X6X493
< 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, 493 }: Central Line L(111, 493) { 98, 637 }: Central Line L(98, 637) 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_493 = 1st VAN LAMOEN HOMOTHETIC CENTER (0.5707, 0.2293) X_98 = TARRY POINT (0.8891, -0.2281) X_637 = ANTICOMPLEMENT OF X(371) (0.4819, 0.1805) X_1306 = COLLINGS TRANSFORM OF X(639) (0.1712, 0.4923) A B C X111 X493 X98 X637 X1306 (a, b, c) = (5, 6, 7) | AB = 1

X1306 (COLLINGS TRANSFORM OF X639) 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): \(2.209863853597\)

X1306 lies on the circumcircle.

▸ Incident Central Lines2 lines

{98, 637}, {111, 493}

▸ Functional Relations2 relations