hippopede
Sign in to save500px|right|thumb|Hippopede (red) given as the pedal curve of an [[ellipse (black). The equation of this hippopede is: 4x^2 + y^2 = (x^2 + y^2)^2]]
Article
5 sectionsContents
- Special cases
- Definition as spiric sections
- See also
- References
- External links
500px|right|thumb|Hippopede (red) given as the pedal curve of an [[ellipse (black). The equation of this hippopede is: 4x^2 + y^2 = (x^2 + y^2)^2]]
In geometry, a hippopede () is a plane curve determined by an equation of the form (x^2+y^2)^2=cx^2+dy^2, where it is assumed that and since the remaining cases either reduce to a single point or can be put into the given form with a rotation. Hippopedes are bicircular, rational, algebraic curves of degree 4 and symmetric with respect to both the and axes.