X1810

INVERSE MIMOSA TRANSFORM OF X518

X1810 = cevapoint of X3 and X1818
< 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) { 57, 100 }: Central Line L(57, 100) { 222, 1331 }: Central Line L(222, 1331) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_1818 = INVERSE MIMOSA TRANSFORM OF X(1282) (-0.1296, -0.2419) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_222 = -CEVA CONJUGATE OF X(56) (0.5653, 0.1568) X_1331 = ORTHOCORRESPONDENT OF X(101) (-0.2308, 0.2512) X_1810 = INVERSE MIMOSA TRANSFORM OF X(518) (1.3700, 0.0613) A B C X3 X1818 X57 X100 X222 X1331 X1810 (a, b, c) = (5, 6, 7) | AB = 1

X1810 (INVERSE MIMOSA TRANSFORM OF X518) 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 \(f(a,b,c) = (\cos A)/(y + z)\),\(x : y : z\) = X518
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-75.914518403375\)
▸ Incident Central Lines2 lines

{57, 100}, {222, 1331}

▸ Functional Relations2 relations