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K936

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X(3), X(6), X(13), X(14), X(111), X(187), X(1157), X(7607), X(11422), X(11564), X(15553)

isogonal conjugate of X(11004)

Geometric properties :

K936 is the isogonal transform of K304. It is the orthopivotal cubic O(X11422).

Its singular focus is X(15744), the Psi-transform of X(11422), also the inverse of X(14662) in the circumcircle. This point lies on the circle passing through X(2), X(3), X(6), X(111), X(691), etc.

K936 meets the Kiepert hyperbola (K) at A, B, C, X(13), X(14), X(7607).

It meets the Lester circle (L) at X(3), X(13), X(14), the circular points at infinity and X(15553).

K936 and K304 generate a pencil of circular circum-cubics that contains pK(X6, X542) and nK0(X6, X12077).