X1044

X64-CEVA CONJUGATE OF X1

X1044 = X64-Ceva conjugate of X1
< 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) { 1, 7 }: Soddy Line { 43, 46 }: Central Line L(43, 46) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_64 = ISOGONAL CONJUGATE OF X(20) (0.5579, 1.5943) X_1 = INCENTER (0.5714, 0.2333) X_7 = GERGONNE POINT (0.5903, 0.2769) X_43 = -CEVA CONJUGATE OF X(1) (0.6358, 0.2963) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_1044 = -CEVA CONJUGATE OF X(1) (0.8041, 0.7716) A B C X64 X1 X7 X43 X46 X1044 (a, b, c) = (5, 6, 7) | AB = 1

X1044 (X64-CEVA CONJUGATE OF X1) 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 \(f(A,B,C) = \cos B + \cos C - \cos A + \cos B \cos C - \cos A \cos B - \cos A \cos C\)
Barycentrics: \(g(A,B,C) : g(B,C,A) : g(C,A,B)\), where \(g(A,B,C) = (\sin A) f(A,B,C)\)
Search Value (6, 9, 13): \(-1.959171728183\)
▸ Incident Central Lines2 lines

{1, 7}, {43, 46}

▸ Functional Relations1 relation