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K595

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X(74), X(98), X(265), X(290), X(671), X(9140)

K595 is a nodal stelloid with node the Tarry point X(98) which is a double pivot. The simple pivot is X(265). Hence, any circle passing through X(98) and X(265) meets the cubic again at three points which are the vertices of an equilateral triangle.

It has three real asymptotes concurring at X = X(14849).

Let (H) be the rectangular hyperbola with center X(1511) on the circle C(O, R/2), passing through X(3), X(110), X(237), X(511), X(512). (H) meets (O) at X(110) and three other points which are the vertices of an equilateral triangle. The isogonal conjugates of these three points are the infinite points of the asymptotes.

See other properties connected with the related K596.