X1774

MIMOSA TRANSFORM OF X1061

< 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) { 40, 47 }: Central Line L(40, 47) { 378, 1061 }: Central Line L(378, 1061) { 57, 1725 }: Central Line L(57, 1725) { 484, 1707 }: Central Line L(484, 1707) 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_40 = BEVAN POINT (0.4286, -0.0292) X_47 = -BETH CONJUGATE OF X(34) (0.7279, 0.4389) X_378 = REFLECTION OF X(22) IN X(3) (0.5857, 0.3262) X_1061 = ISOGONAL CONJUGATE OF X(1060) (0.6067, 0.3472) X_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1725 = MIMOSA TRANSFORM OF X(74) (0.9993, 0.7957) X_484 = 1st EVANS PERSPECTOR (2.0952, 3.0327) X_1707 = MIMOSA TRANSFORM OF X(6) (0.7574, 0.4777) X_1774 = MIMOSA TRANSFORM OF X(1061) (0.7786, 0.5183) A B C X4 X46 X40 X47 X378 X1061 X57 X1725 X484 X1707 X1774 (a, b, c) = (5, 6, 7) | AB = 1

X1774 (MIMOSA TRANSFORM OF X1061) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X1061
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(4.215557070448\)
▸ Incident Central Lines5 lines

{4, 46}, {40, 47}, {57, 1725}, {378, 1061}, {484, 1707}