Home page | Catalogue | Classes | Tables | Glossary | Notations | Links | Bibliography | Thanks | Downloads | Related Curves

K717

too complicated to be written here. Click on the link to download a text file.

X(1), X(9), X(44), X(57), X(88), X(104), X(517), X(2161), X(3218)

excenters

infinite points of the Mandart circum-ellipse

K717 is an isogonal pK related with K716. These two cubics share nine identified points namely A, B, C, X(9), X(57), X(517), X(2161) and the infinite points of the Mandart circum-ellipse hence they generate a pencil of cubics all passing through these same nine points which contains :

• one pK namely K717,

• two psKs namely :

– psK(X2161, tX3218, X4) with pseudo-pivot the isotomic conjugate of X(3218) and pseudo-isopivot X(6), passing through X(4), X(9), X(35), X(57), X(80), X(321), X(517), X(2161),

– psK(X2183, X2, X3), passing through X(3), X(9), X(57), X(517), X(908), X(1145), X(2161),

• a cubic decomposed into the line at infinity and the circum-conic with perspector X(663).