X1288

COLLINGS TRANSFORM OF X24

X1288 = trilinear pole of line X6X70
< 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) { 70, 74 }: Central Line L(70, 74) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_70 = ISOGONAL CONJUGATE OF X(26) (0.7750, -1.1016) X_74 = ISOGONAL CONJUGATE OF EULER INFINITY POINT (0.7484, -0.3437) X_1288 = COLLINGS TRANSFORM OF X(24) (0.7166, 0.5641) A B C X70 X74 X1288 (a, b, c) = (5, 6, 7) | AB = 1

X1288 (COLLINGS TRANSFORM OF X24) 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): \(1.486046510873\)

X1288 lies on the circumcircle.

▸ Incident Central Lines1 line

{70, 74}

▸ Functional Relations3 relations