Home page | Catalogue | Classes | Tables | Glossary | Notations | Links | Bibliography | Thanks | Downloads | Related Curves

X(13), X(14), X(15), X(16), X(530), X(2379)

K262b is a member of the Evans pencil = CL034. It is the orthopivotal cubic O(X16). See the FG paper "Orthocorrespondence and orthopivotal cubics" in the Downloads page and Orthopivotal cubics in the glossary.

K262b is a circular focal cubic with singular focus X(15) and one of the five such cubics of the pencil.

The polar conic of X(15) is the circle passing through X(13), X(15), X(16). This circle is orthogonal to the circumcircle.

The real asymptote is the line through X(316) = Droussent pivot and X(298) = isotomic conjugate of X(13).

K262b is the locus of contacts of tangents drawn from X(15) to the circles passing through X(13) and X(16).