X1721

MIMOSA TRANSFORM OF X55

X1721 = reflection of X1 in X990
< 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, 990 }: Soddy Line { 1, 7 }: Soddy Line { 165, 846 }: Central Line L(165, 846) { 40, 984 }: Central Line L(40, 984) { 19, 1633 }: Central Line L(19, 1633) 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_990 = INTERSECTION OF LINES X(1)X(7) AND X(3)X(37) (0.6104, 0.3234) X_7 = GERGONNE POINT (0.5903, 0.2769) X_165 = CENTROID OF THE EXCENTRAL TRIANGLE (0.4762, 0.0583) X_846 = 4th SHARYGIN POINT (0.5437, 0.1969) X_40 = BEVAN POINT (0.4286, -0.0292) X_984 = MIDPOINT OF X(8) AND X(192) (0.5421, 0.1984) X_19 = CLAWSON POINT (0.6246, 0.4244) X_1633 = TCC-PERSPECTOR OF X(651) (0.2619, 0.5832) X_1721 = MIMOSA TRANSFORM OF X(55) (0.6494, 0.4136) A B C X1 X990 X7 X165 X846 X40 X984 X19 X1633 X1721 (a, b, c) = (5, 6, 7) | AB = 1

X1721 (MIMOSA TRANSFORM OF X55) 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 \(f(a,b,c) = - (\cos A)/x + (\cos B)/y + (\cos C)/z\),\(x : y : z\) = X55
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-4.463951109066\)
▸ Incident Central Lines13 lines

{1, 7}, {4, 1716}, {19, 1633}, {40, 984}, {43, 1750}, {46, 1736}, {165, 846}, {294, 1743}, {1039, 1885}, {1040, 1836}, {1045, 1047}, {1707, 1709}, {1720, 1771}

▸ Functional Relations6 relations