X2866

SM(X105, X109)

X2866 = isogonal conjugate of X2880
< 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) { 312, 919 }: Central Line L(312, 919) { 561, 927 }: Central Line L(561, 927) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2880 = ISOGONAL CONJUGATE OF X(2866) (0.8855, -0.2725) X_312 = ISOTOMIC CONJUGATE OF X(57) (0.4256, 0.1081) X_919 = ISOGONAL CONJUGATE OF X(918) (1.0058, 0.1699) X_561 = ISOGONAL CONJUGATE OF 4th POWER POINT (0.4126, 0.1125) X_927 = ISOGONAL CONJUGATE OF X(926) (1.0037, 0.1836) X_2866 = SM(X(105), X(109)) (-0.0087, 0.0618) A B C X2880 X312 X919 X561 X927 X2866 (a, b, c) = (5, 6, 7) | AB = 1

X2866 (SM(X105, X109)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where f(a,b,c) is given just before X2855 using P = X105 and U = X109
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(9.614456138595\)

X2866 lies on the circumcircle.

▸ Incident Central Lines2 lines

{312, 919}, {561, 927}

▸ Functional Relations1 relation