X1732

MIMOSA TRANSFORM OF X89

X1731 = crosspoint of X75 and X1821
< 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) { 19, 46 }: Central Line L(19, 46) { 44, 56 }: Central Line L(44, 56) { 45, 354 }: Central Line L(45, 354) { 9, 1125 }: Central Line L(9, 1125) { 71, 1697 }: Central Line L(71, 1697) { 1020, 1435 }: Central Line L(1020, 1435) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_75 = ISOTOMIC CONJUGATE OF INCENTER (0.4988, 0.1682) X_1821 = ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X(287) (0.8340, -0.1768) X_19 = CLAWSON POINT (0.6246, 0.4244) X_46 = -CEVA CONJUGATE OF X(1) (0.6917, 0.4543) X_44 = -LINE CONJUGATE OF X(1) (2.1429, 2.0996) X_56 = EXSIMILICENTER(CIRCUMCIRCLE, INCIRCLE) (0.6316, 0.3438) X_45 = -BETH CONJUGATE OF X(1) (0.5418, 0.1981) X_354 = WEILL POINT (0.5823, 0.2533) X_9 = MITTENPUNKT (0.5110, 0.1615) X_1125 = COMPLEMENT OF X(10) (0.5459, 0.2083) X_71 = ISOGONAL CONJUGATE OF X(27) (0.4807, 0.0915) X_1697 = INSIMILICENTER(BEVAN CIRCLE, INCIRCLE) (0.5449, 0.1845) X_1020 = POINT ALGEDI (0.4031, 0.5979) X_1435 = -BETH CONJUGATE OF X(278) (0.6337, 0.5189) X_1732 = MIMOSA TRANSFORM OF X(89) (0.7485, 0.4796) A B C X75 X1821 X19 X46 X44 X56 X45 X354 X9 X1125 X71 X1697 X1020 X1435 X1732 (a, b, c) = (5, 6, 7) | AB = 1

X1732 (MIMOSA TRANSFORM OF X89) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X89
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-1.222030300106\)
▸ Incident Central Lines9 lines

{9, 1125}, {19, 46}, {44, 56}, {45, 354}, {48, 1743}, {71, 1697}, {1020, 1435}, {1474, 1778}, {1633, 1707}

▸ Functional Relations3 relations