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X(1), X(15), X(16), X(20), X(511), X(1113), X(1114), X(1742), X(2959), X(3186), X(5667), X(8782), X(9862), X(67540), X(71675), X(71676), X(71677), X(71678), X(71679), X(71680), X(71681), X(71682), X(71683)

vertices of the excentral triangle and, more generally, extraversions of its weak points such as X(1742), X(2959)

isogonal conjugates of the infinite points of the Steiner ellipses, these points on the Lemoine axis which also contains X(67540)

Geometric properties :

K1443 is a focal cubic with singular focus X(20).

It is the locus of contacts of tangents drawn through X(20) to the circles passing through X(15) and X(16), or, equivalently, the locus of the common points of a circle with the polar line of X(20) in this circle. This line passes through X(3186), the finite point on the real asymptote.

It is also the locus of foci of conics inscribed in the triangle X(20)X(15)X(16) which are centered on the Brocard axis. Hence, K1443 is an isogonal nK in this triangle and two isogonal conjugates share the same tangential.

K1444 is the inverse of K1443 in the excentral polar circle.