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K685

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X(1), X(3), X(4), X(80), X(102), X(517)

K685 is a Fuhrmann-Feuerbach cubic, see details at K681 and also K529, K682, K683, K684.

Its singular focus F is the reflection of X(80) about X(5).The line X(80)X(517) is the real asymptote and the line X(5)X(10) is the orthic line.

K685 is the locus of P such that the antipedal triangle of P is perspective with the Fuhrmann triangle A2B2C2.