X1726

MIMOSA TRANSFORM OF X75

X1726 = X264-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) { 1, 184 }: Central Line L(1, 184) { 63, 321 }: Central Line L(63, 321) { 9, 440 }: Central Line L(9, 440) { 46, 407 }: Central Line L(46, 407) { 57, 1020 }: Central Line L(57, 1020) { 19, 1708 }: Central Line L(19, 1708) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_264 = ISOTOMIC CONJUGATE OF CIRCUMCENTER (0.5720, 0.3293) X_1 = INCENTER (0.5714, 0.2333) X_184 = INVERSE OF X(125) IN THE BROCARD CIRCLE (0.5788, 0.1496) X_63 = ISOGONAL CONJUGATE OF X(19) (0.4566, 0.0823) X_321 = ISOTOMIC CONJUGATE OF X(81) (0.4800, 0.1527) X_9 = MITTENPUNKT (0.5110, 0.1615) X_440 = COMPLEMENT OF X(27) (0.4970, 0.0943) 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_57 = ISOGONAL CONJUGATE OF X(9) (0.6138, 0.3110) X_1020 = POINT ALGEDI (0.4031, 0.5979) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1708 = MIMOSA TRANSFORM OF X(7) (0.7332, 0.4848) X_1726 = MIMOSA TRANSFORM OF X(75) (0.5578, 0.3872) A B C X264 X1 X184 X63 X321 X9 X440 X46 X407 X57 X1020 X19 X1708 X1726 (a, b, c) = (5, 6, 7) | AB = 1

X1726 (MIMOSA TRANSFORM OF X75) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X75
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-2.343661551551\)
▸ Incident Central Lines12 lines

{1, 184}, {4, 1782}, {9, 440}, {19, 1708}, {25, 1736}, {46, 407}, {57, 1020}, {63, 321}, {92, 1746}, {1158, 1753}, {1724, 1829}, {1754, 1824}

▸ Functional Relations4 relations