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SEPTIC

A *septic* is an algebraic curve of degree 7.

No septic was given a proper name, but here is one that answers a geometric problem:

Cartesian equation:
Cartesian parametrization: . Rational septic. This curve is associated to the triangles an altitude, a median, and a bisector of which are concurrent (triangles considered by E. LEMOINE in 1885 - mathesis): if the summit of the altitude is fixed at (0, 1) and the summit of the median is fixed at (0,0), then this curve is the locus of the intersection point between theses altitude, median, and bisector. |

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© Robert FERRÉOL 2017