X1733

MIMOSA TRANSFORM OF X98

X1733 = isogonal conjugate of X36051
< 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, 75 }: Central Line L(1, 75) { 19, 91 }: Central Line L(19, 91) { 240, 522 }: Central Line L(240, 522) { 27, 1719 }: Central Line L(27, 1719) { 92, 1707 }: Central Line L(92, 1707) { 896, 1109 }: Central Line L(896, 1109) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1 = INCENTER (0.5714, 0.2333) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_19 = CLAWSON POINT (0.6246, 0.4244) X_91 = ISOGONAL CONJUGATE OF X(47) (-0.0865, -0.0205) X_240 = -LINE CONJUGATE OF X(48) (0.7457, 0.8594) X_522 = ISOGONAL CONJUGATE OF X(109) (-0.0318, 0.3430) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_1719 = MIMOSA TRANSFORM OF X(37) (0.6619, 0.4394) X_92 = CEVAPOINT OF INCENTER AND CLAWSON POINT (0.5949, 0.3639) X_1707 = MIMOSA TRANSFORM OF X(6) (0.7574, 0.4777) X_896 = INTERSECTION OF LINES X(1)X(21) AND X(9)X(750) (2.0357, 2.1579) X_1109 = TRILINEAR SQUARE OF X(523) (0.7246, 0.0705) X_1733 = MIMOSA TRANSFORM OF X(98) (1.1555, 0.7565) A B C X1 X75 X19 X91 X240 X522 X27 X1719 X92 X1707 X896 X1109 X1733 (a, b, c) = (5, 6, 7) | AB = 1

X1733 (MIMOSA TRANSFORM OF X98) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X98
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(0.363656701420\)
▸ Incident Central Lines7 lines

{1, 75}, {19, 91}, {27, 1719}, {92, 1707}, {240, 522}, {896, 1109}, {1580, 1821}

▸ Functional Relations5 relations