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K951

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X(1), X(165), X(1155), X(1156), X(3062)

P = X(15726), pivot at infinity

P* = X(15731), isopivot on (O)

Geometric properties :

The Pelletier strophoid K040 and K806 generate a pencil of circular circum-cubics that contains the three pKs K949, K950, K951.

K951 is the isogonal pK with pivot X(15726) on the line at infinity and on the lines {1,6610}, {2,5918}, {3,15254}, {4,3812}, {6,1721}, {7,354}, {9,165}, {20,960}, etc.

Obviously, K951 passes through X(15726)* = X(15731) on the circumcircle and on the lines {3,14074}, {55,934}, {100,144}, {101,165}, {105,9511}, {108,7071}, {109,1253}, etc.

The singular focus of K951 is X(14074), the antipode of P* on (O).