X1719

MIMOSA TRANSFORM OF X37

X1719 = X1826-Ceva conjugate of X1
< 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) { 10, 191 }: Central Line L(10, 191) { 46, 407 }: Central Line L(46, 407) { 165, 846 }: Central Line L(165, 846) { 19, 1707 }: Central Line L(19, 1707) { 27, 1733 }: Central Line L(27, 1733) { 1, 1790 }: Central Line L(1, 1790) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_1826 = ZOSMA TRANSFORM OF X(6) (0.6052, 0.3795) X_1 = INCENTER (0.5714, 0.2333) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_191 = -CEVA CONJUGATE OF X(1) (0.4859, 0.1209) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_407 = CROSSPOINT OF X(4) AND X(225) (0.6211, 0.4189) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1707 = MIMOSA TRANSFORM OF X(6) (0.7574, 0.4777) X_27 = CEVAPOINT OF ORTHOCENTER AND CLAWSON CENTER (0.6182, 0.4112) X_1733 = MIMOSA TRANSFORM OF X(98) (1.1555, 0.7565) X_1790 = INVERSE MIMOSA TRANSFORM OF X(6) (0.5188, 0.1134) X_1719 = MIMOSA TRANSFORM OF X(37) (0.6619, 0.4394) A B C X1826 X1 X10 X191 X46 X407 X165 X846 X19 X1707 X27 X1733 X1790 X1719 (a, b, c) = (5, 6, 7) | AB = 1

X1719 (MIMOSA TRANSFORM OF X37) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X37
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-1.478128515514\)
▸ Incident Central Lines7 lines

{1, 1790}, {10, 191}, {19, 1707}, {27, 1733}, {46, 407}, {165, 846}, {1709, 1744}

▸ Functional Relations2 relations