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K1147

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X(2), X(369), X(519), X(903), X(3679), X(4945), X(36588), X(36589), X(36590), X(36591), X(36592), X(36593), X(36594), X(36595), X(36596)

infinite points of the circum-conic with perspector X(3679) passing through X(190), X(4945)

Geometric properties :

K1147 is an example of pK passing through X(369). See also K311 and Table 42, for further details and other cubics.

Recall that, if A'B'C' is the cevian triangle of X(369), then AB' + AC' = BC' + BA' = CA' + CB' = (a + b + c)/3.