X2859

SM(X100, X112)

X2859 = isogonal conjugate of X2873
< 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) { 112, 693 }: Central Line L(112, 693) { 100, 3267 }: Central Line L(100, 3267) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2873 = ISOGONAL CONJUGATE OF X(2859) (-0.0398, 0.0940) X_112 = Ψ(ORTHOCENTER, SYMMEDIAN POINT) (0.5162, 0.6121) X_693 = ISOTOMIC CONJUGATE OF X(100) (-25.8163, 8.9981) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_3267 = ISOTOMIC CONJUGATE OF X(112) (-2.7666, 0.1888) X_2859 = SM(X(100), X(112)) (0.7817, 0.5276) A B C X2873 X112 X693 X100 X3267 X2859 (a, b, c) = (5, 6, 7) | AB = 1

X2859 (SM(X100, X112)) 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 = X100 and U = X112
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.996594493570\)

X2859 lies on the circumcircle.

▸ Incident Central Lines2 lines

{100, 3267}, {112, 693}

▸ Functional Relations1 relation