X1717

MIMOSA TRANSFORM OF X35

X1717 = X1770-Ceva conjugate of X46
< 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) { 1, 30 }: Central Line L(1, 30) { 35, 37 }: Central Line L(35, 37) { 33, 46 }: Central Line L(33, 46) { 90, 1172 }: Central Line L(90, 1172) { 1047, 1048 }: Central Line L(1047, 1048) { 4, 1718 }: Central Line L(4, 1718) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1770 = MIMOSA TRANSFORM OF X(943) (0.6554, 0.4275) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_1 = INCENTER (0.5714, 0.2333) X_30 = EULER INFINITY POINT (0.7469, 0.7481) X_35 = {X(1),X(3)}-HARMONIC CONJUGATE OF X(36) (0.5373, 0.1706) X_37 = CROSSPOINT OF INCENTER AND CENTROID (0.5567, 0.2158) X_33 = PERSPECTOR OF THE ORTHIC AND INTANGENTS TRIANGLES (0.6019, 0.3546) X_90 = -CROSS CONJUGATE OF X(1) (0.1022, 0.0201) X_1172 = 1st SARAGOSSA POINT OF X(48) (0.6100, 0.3717) X_1047 = -CEVA CONJUGATE OF X(1) (0.5281, -0.0076) X_1048 = POINT ALGIEBA (0.5862, 0.2176) X_4 = ORTHOCENTER (0.6122, 0.3958) X_1718 = MIMOSA TRANSFORM OF X(36) (0.1143, 0.6999) X_1717 = MIMOSA TRANSFORM OF X(35) (0.6295, 0.3852) A B C X1770 X46 X1 X30 X35 X37 X33 X90 X1172 X1047 X1048 X4 X1718 X1717 (a, b, c) = (5, 6, 7) | AB = 1

X1717 (MIMOSA TRANSFORM OF X35) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X35
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(34.690188066864\)
▸ Incident Central Lines7 lines

{1, 30}, {4, 1718}, {33, 46}, {35, 37}, {90, 1172}, {429, 1722}, {1047, 1048}

▸ Functional Relations1 relation