X1822

ISOGONAL CONJUGATE OF X2588

X1822 is the isogonal conjugate of X2588.
< 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, 21 }: Central Line L(1, 21) { 109, 1113 }: Central Line L(109, 1113) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1101 = TRILINEAR SQUARE OF X(110) (0.5344, 0.4306) X_1823 = ISOGONAL CONJUGATE OF X(2589) (0.3317, -0.0818) X_1 = INCENTER (0.5714, 0.2333) X_21 = SCHIFFLER POINT (0.5287, 0.1771) X_109 = Ψ(INCENTER, CIRCUMCENTER) (0.3636, 0.5938) X_1113 = 1st EULER-LINE-CIRCUMCIRCLE INTERSECTION (0.6822, 0.5787) X_1822 = ISOGONAL CONJUGATE OF X(2588) (0.8290, 0.5718) A B C X1101 X1823 X1 X21 X109 X1113 X1822 (a, b, c) = (5, 6, 7) | AB = 1

X1822 (ISOGONAL CONJUGATE OF X2588) 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 \(f(a,b,c) = 1/[- (\cos A)/x + (\cos B)/y + (\cos C)/z]\),\(x : y : z\) = X1113
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.676541899087\)
▸ Incident Central Lines2 lines

{1, 21}, {109, 1113}

▸ Functional Relations4 relations