X841

ISOGONAL CONJUGATE OF X541

X841 is the isogonal conjugate of X541.
< 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) { 376, 476 }: Central Line L(376, 476) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_541 = DIRECTION OF VECTOR AX + BX + CX, where X = X(74) (0.7497, -0.3472) X_376 = CENTROID OF THE ANTIPEDAL TRIANGLE OF X(2) (0.4626, 0.0042) X_476 = TIXIER POINT (0.9824, 0.2685) X_841 = ISOGONAL CONJUGATE OF X(541) (0.0813, -0.1897) A B C X541 X376 X476 X841 (a, b, c) = (5, 6, 7) | AB = 1

X841 (ISOGONAL CONJUGATE OF X541) 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 \(f(a,b,c) = a/(2ax - by - cz)\), \(x = x(A,B,C) = 1/(\cos A - 2 \cos B \cos C)\)
Barycentrics: \(g(a,b,c) : g(b,c,a) : g(c,a,b)\), where \(g(a,b,c) = af(a,b,c)\)
Search Value (6, 9, 13): \(13.270923068483\)

X841 lies on the circumcircle.

▸ Incident Central Lines1 line

{376, 476}

▸ Functional Relations2 relations