X3806

X2525com[INVERSE(nT(a², a² + c²))]

< 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) { 230, 231 }: Central Line L(230, 231) { 826, 2474 }: Central Line L(826, 2474) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_230 = -CEVA CONJUGATE OF X(114) (0.9746, 0.6698) X_231 = -CEVA CONJUGATE OF X(128) (1.0375, 0.6458) X_826 = ODD (0, 4) INFINITY POINT (1.1003, 0.0340) X_2474 = RADICAL CENTER OF {BROCARD, 2nd LEMOINE, (X(4),2R)} CIRCLES (6.9649, -4.0371) X_3806 = com[INVERSE(nT(a2, a2 + c2))] (34.6419, -12.1975) A B C X230 X231 X826 X2474 X3806 (a, b, c) = (5, 6, 7) | AB = 1

X3806 (X2525com[INVERSE(nT(a², a² + c²))]) 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 \(f(a,b,c) = (b^{4} - c^{4})(3a^{2} + b^{2} + c^{2})\)
Search Value (6, 9, 13): \(-58.979575671113\)
▸ Incident Central Lines2 lines

{230, 231}, {826, 2474}