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(1), X(3), X(40), X(3913), X(12513), X(45047), X(47302), X(47303)

A1B1C1 : 1st circumperp triangle (circumanticevian triangle of X1)

A2B2C2 : 2nd circumperp triangle (circumcevian triangle of X1)

a1b1c1 : cevian triangle of X(1) in A1B1C1

a2b2c2 : cevian triangle of X(40) in A2B2C2

Geometric properties :

K1271 is a central bi-isogonal pivotal cubic. See Bi-isogonal and Tri-isogonal Pivotal Cubics.

K1271 is the Darboux cubic K004 with respect to both circumperp triangles :

• A1B1C1 with pivot X(1) and isopivot X(12513),

• A2B2C2 with pivot X(40) and isopivot X(3913).

Its three real asymptotes are the parallel at O to the internal bisectors of ABC.

See the very similar cubic K100.