e/Hippopede

Information
has gloss	eng: In geometry, a hippopede (from ἱπποπέδη meaning "horse fetter" in ancient Greek) 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 c>0 and c>d since the remaining cases either reduce to a single point or 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 fact, they are the only curves with these properties. When d>0 the curve has an oval form and is often known as an oval of Booth, and when d<0 the curve resembles a sideways figure eight, or lemniscate, and is often known as a lemniscate of Booth, after James Booth (1810–1878) who studied them. Hippopedes were also investigated by Proclus (for whom they are sometimes called Hippopedes of Proclus) and Eudoxus. For d = −c, the hippopede corresponds to the lemniscate of Bernoulli.
lexicalization	eng: hippopede
instance of	e/Algebraic curve

Meaning
Afrikaans
has gloss	afr: In algebraïese meetkunde is die Lemniskaat van Booth, ook bekend as die Hippopede van Proclus, 'n algebraïese vlakkromme van graad vier en genus nul, met die vergelylking
lexicalization	afr: Lemniskaat van Booth
French
has gloss	fra: En géométrie algébrique, la lemniscate de Booth, aussi appelée courbe de Booth, ovale de Booth ou encore hippopède de Proclus, est une lemniscate du plan euclidien. Elle est généralisée dans lespace par les surfaces délasticité de Fresnel.
lexicalization	fra: Lemniscate de Booth
Italian
has gloss	ita: In geometria algebrica la lemniscata di Booth, anche chiamata Ippopede di Proclo è una curva algebrica di quarto grado con equazione
lexicalization	ita: lemniscata di Booth
Polish
has gloss	pol: Lemniskata Bootha to krzywa płaska mająca dwie odmiany, eliptyczną i hiperboliczną.
lexicalization	pol: Lemniskata Bootha
Russian
has gloss	rus: Лемниската Бута — плоская алгебраическая кривая четвёртого порядка, частный случай кривой Персея. Названа в честь Джеймса Бута.
lexicalization	rus: лемниската Бута