X2865

SM(X104, X105)

X2865 = isogonal conjugate of X2879
< 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) { 919, 2397 }: Central Line L(919, 2397) { 883, 2720 }: Central Line L(883, 2720) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2879 = ISOGONAL CONJUGATE OF X(2865) (0.5312, -0.3869) X_919 = ISOGONAL CONJUGATE OF X(918) (1.0058, 0.1699) X_2397 = GIBERT-SIMSON TRANSFORM OF X(100) (4.6735, 3.5993) X_883 = INTERSECTION OF LINES X(7)X(8) AND X(190)X(644) (1.5694, 1.4397) X_2720 = SR(X(100), X(108)) (0.9103, 0.4054) X_2865 = SM(X(104), X(105)) (0.3984, -0.3980) A B C X2879 X919 X2397 X883 X2720 X2865 (a, b, c) = (5, 6, 7) | AB = 1

X2865 (SM(X104, X105)) 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 = X104 and U = X105
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(8.803477464495\)

X2865 lies on the circumcircle.

▸ Incident Central Lines2 lines

{883, 2720}, {919, 2397}

▸ Functional Relations1 relation