X1811

INVERSE MIMOSA TRANSFORM OF X519

X1811 = isogonal conjugate of X1878
< 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) { 56, 100 }: Central Line L(56, 100) { 603, 1331 }: Central Line L(603, 1331) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1878 = ZOSMA TRANSFORM OF X(519) (0.7415, 0.6332) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_603 = -CEVA CONJUGATE OF X(56) (0.5992, 0.1851) X_1331 = ORTHOCORRESPONDENT OF X(101) (-0.2308, 0.2512) X_1811 = INVERSE MIMOSA TRANSFORM OF X(519) (1.5714, 0.1077) A B C X1878 X56 X100 X603 X1331 X1811 (a, b, c) = (5, 6, 7) | AB = 1

X1811 (INVERSE MIMOSA TRANSFORM OF X519) 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 \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X519
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(25.972848181216\)
▸ Incident Central Lines2 lines

{56, 100}, {603, 1331}

▸ Functional Relations1 relation