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too complicated to be written here. Click on the link to download a text file. |
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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) |
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Geometric properties : |
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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). |