X1775

MIMOSA TRANSFORM OF X1063

< 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) { 4, 46 }: Central Line L(4, 46) { 47, 57 }: Central Line L(47, 57) { 24, 1063 }: Central Line L(24, 1063) { 40, 1725 }: Central Line L(40, 1725) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_4 = ORTHOCENTER (0.6122, 0.3958) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_47 = -BETH CONJUGATE OF X(34) (0.7279, 0.4389) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_24 = PERSPECTOR OF ABC AND ORTHIC-OF-ORTHIC TRIANGLE (0.6627, 0.5278) X_1063 = ISOGONAL CONJUGATE OF X(1062) (0.6152, 0.5187) X_40 = BEVAN POINT (0.4286, -0.0292) X_1725 = MIMOSA TRANSFORM OF X(74) (0.9993, 0.7957) X_1775 = MIMOSA TRANSFORM OF X(1063) (0.8373, 0.5615) A B C X4 X46 X47 X57 X24 X1063 X40 X1725 X1775 (a, b, c) = (5, 6, 7) | AB = 1

X1775 (MIMOSA TRANSFORM OF X1063) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X1063
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.527667827939\)
▸ Incident Central Lines4 lines

{4, 46}, {24, 1063}, {40, 1725}, {47, 57}