X837

ISOGONAL CONJUGATE OF X836

X837 is the isogonal conjugate of X836.
< 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) { 393, 394 }: Central Line L(393, 394) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_393 = -CROSS CONJUGATE OF X(4) (0.6247, 0.5263) X_394 = -CEVA CONJUGATE OF X(3) (0.3778, 0.0284) X_837 = ISOGONAL CONJUGATE OF X(836) (0.6016, 0.4798) A B C X1 X393 X394 X837 (a, b, c) = (5, 6, 7) | AB = 1

X837 (ISOGONAL CONJUGATE OF X836) 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 \(f(A,B,C) = 1/(\sin B \sec^{2} B + \sin C \sec^{2} C)\)
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): \(0.806445535487\)
▸ Incident Central Lines1 line

{393, 394}

▸ Functional Relations2 relations