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K935

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X(2), X(22), X(305), X(345), X(394), X(5392), X(8770)

X(15466) = isotomic conjugate of X(1073) = isogonal conjugate of X(14642)

X(15467) = isotomic conjugate of X(3190)

X(15474) = isogonal conjugate of X(2911)

vertices of the cevian triangle of X(76)

points of pK(X2, X305) on (O)

Geometric properties :

K935 is a nodal psK with node G and tangents passing through X(2592), X(2593). The pseudo-isopivot is O hence the tangents at A, B, C concur at O.

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K935 is related with several other nodal cubics. Indeed, for any point M on K935 :

• the isogonal conjugate (or X(6)-isoconjugate) of M lies on K429,

• the isotomic conjugate (or X(2)-isoconjugate) of M lies on K555,

• the X(3)-isoconjugate of M lies on K009,

• the X(4)-isoconjugate of M lies on K620,

• the X(265)-isoconjugate of M lies on K724,

• the barycentric product X(4) x M lies on K028,

• the barycentric product X(6) x M lies on K260,

• the barycentric product X(25) x M lies on gK257 = psK(X1974, X4, X2).