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X(1), X(1379), X(1380), X(1687), X(1688), X(2009), X(2010), X(3413), X(3414), X(39641), X(39642) excenters Brocard points antipoints, see Table 77 

See Q170 for general properties. Q186 is the locus of P such that PC(P) passes through X(1687) and X(1687) or, equivalently, PC(P) is centered on the line {512, 1691, etc}, the trilinear polar of X(251). Q186 is a bicircular sextic with two real asymptotes parallel at X(51371) to those of the Kiepert hyperbola (K). 
