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X(3), X(4), X(131), X(155), X(265), X(403), X(1299), X(1986), X(13754)

vertices of the orthic triangle

K339 is a circular pK with pivot H, invariant under orthoassociation. It is a member of the class CL019. See also CL035.

The real asymptote is the line X(131)X(1516). K339 meets this asymptote at X(131), a point on the nine-point circle.

The singular focus is X(136), the antipode of X(131) on the nine-point circle.

The inversive image of K339 is also a pK. See Inverses of Isocubics.