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]]
In the Vinony graph
Within Vinony's link graph, hippopede is referenced by 18 other articles, and connects out to geometry, Ancient Greek and rational number.
It is catalogued under topics including Quartic curves and Spiric sections.
Its subject is documented across 14 Wikipedia language editions.
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- quartic plane curve
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Encyclopedic overview
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.
Excerpted from Wikipedia’s “hippopede” article, available under the CC BY-SA 4.0 licence.