Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical curve
|
| gptkbp:containsGenus |
0
|
| gptkbp:degree |
4
|
| gptkbp:discoveredBy |
gptkb:Jacob_Bernoulli
|
| gptkbp:discoveredIn |
1694
|
| gptkbp:hasEquation |
(x^2 + y^2)^2 = a^2(x^2 - y^2)
|
| gptkbp:hasPolarEquation |
r^2 = a^2 cos(2θ)
r^2 = a^2 sin(2θ) |
| gptkbp:hasSpecialCase |
gptkb:Lemniscate_of_Bernoulli
gptkb:Lemniscate_of_Gerono |
| https://www.w3.org/2000/01/rdf-schema#label |
Lemniscate
|
| gptkbp:nameOrigin |
Latin 'lemniscus' meaning ribbon
|
| gptkbp:relatedTo |
Infinity symbol
|
| gptkbp:shape |
Figure-eight
|
| gptkbp:symmetry |
Origin
x-axis y-axis |
| gptkbp:type |
Algebraic curve
Plane curve Quartic curve |
| gptkbp:usedIn |
gptkb:Algebraic_geometry
Complex analysis Elliptic functions |
| gptkbp:bfsParent |
gptkb:Eternity
|
| gptkbp:bfsLayer |
5
|