X3115

GtX(32)

X3115 = isogonal conjugate of X3118
< 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) { 32, 710 }: Central Line L(32, 710) { 76, 1501 }: Central Line L(76, 1501) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3118 = ISOGONAL CONJUGATE OF GtX(32) (0.6022, 0.2198) X_32 = 3rd POWER POINT (0.6400, 0.3332) X_710 = EVEN (- 4, 4) INFINITY POINT (0.1004, -0.1918) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_1501 = TRILINEAR 5th POWER POINT (0.6596, 0.3922) X_3115 = GtX(32) (0.5421, 0.2455) A B C X3118 X32 X710 X76 X1501 X3115 (a, b, c) = (5, 6, 7) | AB = 1

X3115 (GtX(32)) 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 \(f(a,b,c) = (b^{2} - c^{2})/(a^{3}(b^{8} - c^{8}))\)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(2.148033400629\)
▸ Incident Central Lines2 lines

{32, 710}, {76, 1501}

▸ Functional Relations1 relation