X957

ISOGONAL CONJUGATE OF X956

X957 is the isogonal conjugate of X956.
< 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) { 2, 392 }: Central Line L(2, 392) { 81, 859 }: Central Line L(81, 859) { 57, 995 }: Central Line L(57, 995) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_956 = INTERSECTION OF LINES X(1)X(6) AND X(3)X(8) (0.4790, 0.1235) X_2 = CENTROID (0.5374, 0.2000) X_392 = X(1,6)∩X(10,11) (0.5265, 0.1800) X_81 = CEVAPOINT OF INCENTER AND SYMMEDIAN POINT (0.5849, 0.2510) X_859 = INTERCEPT OF EULER LINE AND TRILINEAR POLAR OF X(81) (1.1279, 1.7448) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_995 = MIDPOINT OF X(1) AND X(43) (0.6036, 0.2648) X_957 = ISOGONAL CONJUGATE OF X(956) (0.6245, 0.3599) A B C X956 X2 X392 X81 X859 X57 X995 X957 (a, b, c) = (5, 6, 7) | AB = 1

X957 (ISOGONAL CONJUGATE OF X956) 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 \(f(a,b,c) = 1/[a^{3} - a(b - c)^{2} - 2bc(b + c)]\)
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): \(-0.397101178306\)
▸ Incident Central Lines3 lines

{2, 392}, {57, 995}, {81, 859}

▸ Functional Relations1 relation