In geometry, a hippopede (from Ancient Greek ἱπποπέδη (hippopédē) 'horse fetter') is a plane curve determined by an equation of the form ( x 2 + y 2 ) 2 = c x 2 + d y 2 , {\displaystyle (x^{2}+y^{2})^{2}=cx^{2}+dy^{2},} where it is assumed that c > 0 and c > d 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 x and y axes.
In geometry, a hippopede (from Ancient Greek ἱπποπέδη (hippopédē) 'horse fetter') is a plane curve determined by an equation of the form ( x 2 + y 2 ) 2 = c x 2 + d y 2 , {\displaystyle (x^{2}+y^{2})^{2}=cx^{2}+dy^{2},} where it is assumed that c > 0 and c > d 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 x and y axes.
Source: Wikipedia "Hippopede" · CC BY-SA 4.0
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