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too complicated to be written here. Click on the link to download a text file. |
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X(3), X(6), X(219), X(222), X(394), X(1073), X(1433), X(1498), X(7078), X(15905) isogonal conjugates of X(6523), X(40837), X(40838), X(40839) vertices of the cevian triangle of X(394) vertices of the anticevian triangle of X(3) |
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Geometric properties : |
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The isogonal transform of K879 = pK(X393, X2) is K1425 = pK(X577, X394). Recall that X(393), X(577) and X(394) are the barycentric squares of X(4), X(3) and X(63) respectively. K1425 is also the barycentric products X(3) x K007, X(69) x K172, X(63) x K343, X(394) x K879. K1425 meets the line at infinity at the same points as pK(X3, X12111), pK(X800, X6515), pK(X6509, X69), pK(X14379, X64). K1425 meets the circumcircle at the same points as pK(X32, X1498). A locus property : The anticevian triangle of P is perspective to the circumcevian triangle of X(1498) if and only if P lies on K1425. The locus of the perspector is a (not very interesting) pK with same pole. |