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X(1), X(65), X(72), X(960), X(1829), X(2292), X(3869), X(22299), X(34434), X(41600), X(42550), X(42485), X(43703), X(70616), X(70617), X(70618)

vertices of the cevian triangle of X(3869)

square root Ro of X(2090) and vertices Ra, Rb, Rc of its anticevian triangle

Geometric properties :

K1405 is the isogonal transform of K1173.

It is a central pK with center X(960). See Central cubics.

Its three asymptotes are the parallels at X(960) to the cevian lines of X(65).

It meets the circumcircle at the same points as pK(X2193, Q), where Q = a (a+b) (a+c) (a^4-b^4+a^2 b c-a b^2 c-2 b^3 c-a b c^2-2 b^2 c^2-2 b c^3-c^4) : : , on the lines {X1,X21},{X2,X229},{X10,X1325},{X60,X72},{X110,X960}, etc, SEARCH = 4.00908260200766. Q is now X(70219) in ETC.