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K1061

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X(1), X(3), X(90), X(3157)

vertices of the incentral triangle

points at infinity of pK(X6, X3868)

vertices of the Nagel triangle, see K692

Geometric properties :

Apart the six points on the circumcircle, K1061 meets K692 again at three collinear points X(1), P1, P2 on the line (L1) passing through X(1), X(6). P1, P2 also lie on the circum-conic (C1) with perspector X(1459).

Apart the three points on the line at infinity, K1061 meets pK(X6, X3868) again at six points A, B, C, X(3), P3, P4 on the circum-conic (C2) with perspector X(513). P3, P4 also lie on the line (L2) passing through X(6), X(169).