X2864

SM(X100, X110)

X2864 = isogonal conjugate of X2878
< 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) { 110, 693 }: Central Line L(110, 693) { 100, 850 }: Central Line L(100, 850) { 101, 1577 }: Central Line L(101, 1577) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2878 = ISOGONAL CONJUGATE OF X(2864) (1.0641, 0.4588) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_693 = ISOTOMIC CONJUGATE OF X(100) (-25.8163, 8.9981) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_850 = BARYCENTRIC MULTIPLIER FOR KIEPERT HYPERBOLA (-6.8003, 1.7304) X_101 = Ψ(INCENTER, SYMMEDIAN POINT) (0.2143, 0.5249) X_1577 = ISOGONAL CONJUGATE OF X(163) (-17.7211, 5.4989) X_2864 = SM(X(100), X(110)) (0.9627, 0.3173) A B C X2878 X110 X693 X100 X850 X101 X1577 X2864 (a, b, c) = (5, 6, 7) | AB = 1

X2864 (SM(X100, X110)) 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 = X110
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.510771389579\)

X2864 lies on the circumcircle.

▸ Incident Central Lines3 lines

{100, 850}, {101, 1577}, {110, 693}

▸ Functional Relations1 relation