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∑ a (b  c) x (c^2y^2  b^2z^2) = 0 

X(1), X(100), X(513), X(1054) isogonal X(1054)* of X(1054) excenters traces of X(513) 

K661 is the locus of P such that the sum of the algebraic distances from P to the sidelines of ABC (sometimes called absolute normal coordinates) is equal to that of its isogonal conjugate P* (Lemoine, AFAS Pau 1892, p.121). See the related cubic K662. K661 is a circular cubic with focus X(104), the reflection of X(100) about O. See Table 12 for other circular cubics with pivot P ≠ H. If P* is replaced with the image of P under the isoconjugation with pole Ω, then the the locus of P becomes pK(Ω, X513). 
