X3909

X3120com[INVERSE(n(3rd EULER TRIANGLE))]

X3909 = anticomplement of X18191
< 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) { 100, 109 }: Central Line L(100, 109) { 2836, 2895 }: Central Line L(2836, 2895) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_2836 = ISOGONAL CONJUGATE OF X(2752) (0.9756, -0.1904) X_2895 = ANTICOMPLEMENTARY CONJUGATE OF X(75) (0.4425, 0.0979) X_3909 = com[INVERSE(n(3rd EULER TRIANGLE))] (0.0735, 0.4266) A B C X100 X109 X2836 X2895 X3909 (a, b, c) = (5, 6, 7) | AB = 1

X3909 (X3120com[INVERSE(n(3rd EULER TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Barycentrics: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\), where \(f(a,b,c) = a(a - b)(a - c)(b^{3} + c^{3} + ab^{2} + ac^{2})\)
Search Value (6, 9, 13): \(4.419176734777\)
▸ Incident Central Lines2 lines

{100, 109}, {2836, 2895}

▸ Functional Relations1 relation

  • X3909 = anticomplement of X18191