X1752

MIMOSA TRANSFORM OF X277

< 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, 41 }: Central Line L(1, 41) { 19, 46 }: Central Line L(19, 46) { 9, 1479 }: Central Line L(9, 1479) { 920, 1729 }: Central Line L(920, 1729) 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_41 = -CEVA CONJUGATE OF X(31) (0.5823, 0.2244) X_19 = CLAWSON POINT (0.6246, 0.4244) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_9 = MITTENPUNKT (0.5110, 0.1615) X_1479 = {X(1),X(4)}-HARMONIC CONJUGATE OF X(1478) (0.5371, 0.0965) X_920 = -CEVA CONJUGATE OF X(1) (0.8006, 0.5344) X_1729 = MIMOSA TRANSFORM OF X(85) (0.6667, 0.4631) X_1752 = MIMOSA TRANSFORM OF X(277) (0.4388, 0.3416) A B C X1 X41 X19 X46 X9 X1479 X920 X1729 X1752 (a, b, c) = (5, 6, 7) | AB = 1

X1752 (MIMOSA TRANSFORM OF X277) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X277
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-7.939524248792\)
▸ Incident Central Lines4 lines

{1, 41}, {9, 1479}, {19, 46}, {920, 1729}