X1714

MIMOSA TRANSFORM OF X28

< 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, 2 }: Nagel Line { 19, 46 }: Central Line L(19, 46) { 58, 377 }: Central Line L(58, 377) { 6, 442 }: Central Line L(6, 442) { 4, 580 }: Central Line L(4, 580) { 219, 1329 }: Central Line L(219, 1329) 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_2 = CENTROID (0.5374, 0.2000) X_19 = CLAWSON POINT (0.6246, 0.4244) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_58 = ISOGONAL CONJUGATE OF X(10) (0.6107, 0.2850) X_377 = EULER LINE INTERCEPT OF LINE X(7)X(8) (0.5473, 0.2258) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_442 = COMPLEMENT OF SCHIFFLER POINT (0.5418, 0.2114) X_4 = ORTHOCENTER (0.6122, 0.3958) X_580 = ORTHOGONAL OF X(284) (0.7089, 0.4470) X_219 = -CEVA CONJUGATE OF X(55) (0.4277, 0.0625) X_1329 = COMPLEMENTARY CONJUGATE OF X(1) (0.4903, 0.1280) X_1714 = MIMOSA TRANSFORM OF X(28) (0.8848, 0.5404) A B C X1 X2 X19 X46 X58 X377 X6 X442 X4 X580 X219 X1329 X1714 (a, b, c) = (5, 6, 7) | AB = 1

X1714 (MIMOSA TRANSFORM OF X28) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X28
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-1.101878339709\)
▸ Incident Central Lines17 lines

{1, 2}, {4, 580}, {6, 442}, {19, 46}, {58, 377}, {100, 1612}, {219, 1329}, {225, 1708}, {238, 1479}, {278, 1739}, {393, 1713}, {405, 1834}, {920, 1711}, {1498, 1532}, {1707, 1770}, {1712, 1728}, {1715, 1779}

▸ Functional Relations1 relation