X1031

CYCLOCEVIAN CONJUGATE OF X6

X1031 = X83-cross conjugate of X2
< 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) { 141, 384 }: Central Line L(141, 384) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_83 = CEVAPOINT OF CENTROID AND SYMMEDIAN POINT (0.5651, 0.2360) X_2 = CENTROID (0.5374, 0.2000) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_384 = THE CONWAY POINT: EULER LINE INTERCEPT OF LINE X(32)X(76) (0.5532, 0.2412) X_1031 = CYCLOCEVIAN CONJUGATE OF X(6) (0.5814, 0.2861) A B C X83 X2 X141 X384 X1031 (a, b, c) = (5, 6, 7) | AB = 1

X1031 (CYCLOCEVIAN CONJUGATE OF X6) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(bc/(b^{4} + c^{4} - a^{4} + b^{2}c^{2} + c^{2}a^{2} + a^{2}b^{2}) : :\) (M. Iliev, 5/13/07)
Search Value (6, 9, 13): \(0.256941404583\)
▸ Incident Central Lines1 line

{141, 384}

▸ Functional Relations4 relations