X1744

MIMOSA TRANSFORM OF X226

< 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) { 9, 46 }: Central Line L(9, 46) { 19, 91 }: Central Line L(19, 91) { 1046, 1409 }: Central Line L(1046, 1409) { 1172, 1725 }: Central Line L(1172, 1725) { 1709, 1719 }: Central Line L(1709, 1719) { 1723, 1729 }: Central Line L(1723, 1729) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_9 = MITTENPUNKT (0.5110, 0.1615) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_19 = CLAWSON POINT (0.6246, 0.4244) X_91 = ISOGONAL CONJUGATE OF X(47) (-0.0865, -0.0205) X_1046 = -CEVA CONJUGATE OF X(1) (0.6500, 0.3366) X_1409 = -BETH CONJUGATE OF X(71) (0.5848, 0.1701) X_1172 = 1st SARAGOSSA POINT OF X(48) (0.6100, 0.3717) X_1725 = MIMOSA TRANSFORM OF X(74) (0.9993, 0.7957) X_1709 = MIMOSA TRANSFORM OF X(9) (0.5826, 0.3739) X_1719 = MIMOSA TRANSFORM OF X(37) (0.6619, 0.4394) X_1723 = MIMOSA TRANSFORM OF X(57) (0.7970, 0.5012) X_1729 = MIMOSA TRANSFORM OF X(85) (0.6667, 0.4631) X_1744 = MIMOSA TRANSFORM OF X(226) (0.7039, 0.4740) A B C X9 X46 X19 X91 X1046 X1409 X1172 X1725 X1709 X1719 X1723 X1729 X1744 (a, b, c) = (5, 6, 7) | AB = 1

X1744 (MIMOSA TRANSFORM OF X226) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X226
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.502549505387\)
▸ Incident Central Lines8 lines

{9, 46}, {19, 91}, {846, 1754}, {1046, 1409}, {1172, 1725}, {1709, 1719}, {1723, 1729}, {1770, 1826}

▸ Functional Relations1 relation