X3908

X120com[INVERSE(n(5th EULER TRIANGLE))]

< 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, 110 }: Central Line L(100, 110) { 513, 644 }: Central Line L(513, 644) { 668, 892 }: Central Line L(668, 892) 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_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_513 = ISOGONAL CONJUGATE OF X(100) (1.0529, -0.0806) X_644 = TRILINEAR MULTIPLIER FOR YFF PARABOLA (-0.0171, 0.3359) X_668 = TRILINEAR POLE OF LINE X(2)X(37) (0.0159, 0.3302) X_892 = ISOGONAL CONJUGATE OF X(351) (1.0590, 0.0699) X_3908 = com[INVERSE(n(5th EULER TRIANGLE))] (-0.0257, 0.3406) A B C X100 X110 X513 X644 X668 X892 X3908 (a, b, c) = (5, 6, 7) | AB = 1

X3908 (X120com[INVERSE(n(5th 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 \(f(a,b,c) = a(a - b)(a - c)(2b^{2} + 2c^{2} - a^{2})\)
Search Value (6, 9, 13): \(9.898056560186\)
▸ Incident Central Lines3 lines

{100, 110}, {513, 644}, {668, 892}