X1786

MIMOSA TRANSFORM OF X1442

< 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) { 33, 46 }: Central Line L(33, 46) { 57, 77 }: Central Line L(57, 77) { 1730, 1787 }: Central Line L(1730, 1787) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_77 = ISOGONAL CONJUGATE OF X(33) (0.5270, 0.1305) X_1730 = MIMOSA TRANSFORM OF X(86) (0.6546, 0.4410) X_1787 = MIMOSA TRANSFORM OF X(1443) (0.1496, 0.6848) X_1786 = MIMOSA TRANSFORM OF X(1442) (0.6721, 0.4326) A B C X33 X46 X57 X77 X1730 X1787 X1786 (a, b, c) = (5, 6, 7) | AB = 1

X1786 (MIMOSA TRANSFORM OF X1442) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X1442
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-166.978966131869\)
▸ Incident Central Lines3 lines

{33, 46}, {57, 77}, {1730, 1787}