X1392

ISOGONAL CONJUGATE OF X1388

X1392 is the isogonal conjugate of X1388.
< 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) { 80, 145 }: Central Line L(80, 145) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1388 = POINT ANCHA (0.4835, 0.0718) X_80 = REFLECTION OF INCENTER IN FEUERBACH POINT (0.8980, -0.1000) X_145 = ANTICOMPLEMENT OF NAGEL POINT (0.6735, 0.3333) X_1392 = ISOGONAL CONJUGATE OF X(1388) (0.6149, 0.4463) A B C X1388 X80 X145 X1392 (a, b, c) = (5, 6, 7) | AB = 1

X1392 (ISOGONAL CONJUGATE OF X1388) 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 \(f(a,b,c) = (a - b -c)/(3a - 2b - 2c)\) (M. Iliev, 5/13/07)
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(3.241463291743\)
▸ Incident Central Lines1 line

{80, 145}

▸ Functional Relations1 relation