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X(2), X(13), X(14)

other points below

This curve is related to Table 28 : {X}-Cevian and Anticevian points. It contains the {X}-Cevian and Anticevian points of any X on itself.

Q059 is a circular quintic passing through A, B, C which are nodes with tangents the bisectors. The singular focus is X(353).

It has three real asymptotes parallel to the medians of ABC.


A', B', C' : midpoints of ABC

F1, F2 : foci of the Steiner in-ellipse

S1, S2, ∑1, ∑2 : vertices of the Steiner ellipse

E1, E2 : intersection of GK and (O)