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

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

X(2), X(6), X(13), X(14), X(15), X(16), X(30), X(3853), X(7583), X(7584), X(42283), X(42284)

X(43193) → X(43212)

details and other points below

Geometric properties :

K1220 is the KHO-cubic obtained when P = X(3853). See K1191 for explanations and also CL075.

Its KHO-equation is : x^2 (6 y - 5 z) - (y + 5 z) (y + z) (2 y - z) = 0

K1220 meets the Kiepert hyperbola at X(2) twice, X(13), X(14) and two other real points with KHO-coordinates (±√57,10,1).

K1220 meets the Evans conic at X(13), X(14), X(15), X(16) and two other real points on the line X(6)X(3525) with KHO-coordinates (±√43,3,8).

K1220 also contains (±3,2,-4), (±8,3,9), (±5,-12,1), (±15,10,23), (±33,50,-65), (±55,12,13).