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

K607

b^2c^2 x(y+z)(-x+y+z) = 0

midpoints of ABC

infinite points of K024

points Na, Nb, Nc mentioned in Central Cubics

K607 is the locus of the centers of central circum-stelloids having asymptotes parallel to those of the Kjp cubic K024. Compare with K026, property 4.

K607 is an equilateral psK cubic with three real asymptotes parallel to those of the Kjp cubic K024 and bounding an equilateral triangle S1S2S3 which is the image of the circum-tangential triangle T1T2T3 under the translation that maps O onto X(5).

K607 meets the circumcircle at the same points as nK0(X6, X3815) where X(3815) = X(2)X(6) /\ X(5)X(39).

K607 and K024 meet at three other points which lie on the circum-conic (C) with perspector X(39), center X(141).

The polar conic of X(512) is the Kiepert hyperbola.

K607 is the complement of K142.