X1741

MIMOSA TRANSFORM OF X189

X1741 = X189-aleph conjugate of X63
< 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) { 2, 7 }: Centroid–Gergonne Line { 46, 281 }: Central Line L(46, 281) { 19, 1158 }: Central Line L(19, 1158) { 920, 1249 }: Central Line L(920, 1249) { 1712, 1713 }: Central Line L(1712, 1713) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2 = CENTROID (0.5374, 0.2000) X_7 = GERGONNE POINT (0.5903, 0.2769) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_281 = -CROSS CONJUGATE OF X(9) (0.5796, 0.3202) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1158 = CIRCUMCENTER OF EXTOUCH TRIANGLE (0.5179, 0.3262) X_920 = -CEVA CONJUGATE OF X(1) (0.8006, 0.5344) X_1249 = ISOGONAL CONJUGATE OF X(1073) (-0.9482, -15.9845) X_1712 = MIMOSA TRANSFORM OF (20) (0.5990, 1.1358) X_1713 = MIMOSA TRANSFORM OF X(27) (0.8274, 0.5373) X_1741 = MIMOSA TRANSFORM OF X(189) (0.8066, 0.5917) A B C X2 X7 X46 X281 X19 X1158 X920 X1249 X1712 X1713 X1741 (a, b, c) = (5, 6, 7) | AB = 1

X1741 (MIMOSA TRANSFORM OF X189) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X189
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(1.573970421749\)
▸ Incident Central Lines5 lines

{2, 7}, {19, 1158}, {46, 281}, {920, 1249}, {1712, 1713}

▸ Functional Relations1 relation