X2984

DC(X53)

< 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) { 97, 3199 }: Central Line L(97, 3199) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_2485 = RADICAL CENTER OF {CIRCUMCIRCLE, 1ST LEMOINE CIRCLE, NINE-POINT CIRCLE} (2.1894, 0.2056) X_933 = -CROSS CONJUGATE OF X(250) (0.4754, 0.6118) X_97 = ISOGONAL CONJUGATE OF X(53) (0.4798, 0.0756) X_3199 = -CEVA CONJUGATE OF X(51) (0.6307, 0.4844) X_2984 = DC(X(53)) (0.5223, 0.1908) A B C X2485 X933 X97 X3199 X2984 (a, b, c) = (5, 6, 7) | AB = 1

X2984 (DC(X53)) 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) is as given just before X2979, using U = X53
Barycentrics: \(af(a,b,c) : bf(b,c,a) : cf(c,a,b)\)
Search Value (6, 9, 13): \(-0.757529949122\)
▸ Incident Central Lines1 line

{97, 3199}

▸ Functional Relations2 relations