Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
plane curve
|
| gptkbp:category |
quartic curve
|
| gptkbp:definedIn |
locus of points such that the product of distances to two fixed points is constant
|
| gptkbp:degree |
4
|
| gptkbp:discoveredIn |
1680
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:geometry gptkb:mathematics |
| gptkbp:hasEquation |
(x^2 + y^2)^2 - 2a^2(x^2 - y^2) = b^4 - a^4
|
| gptkbp:hasSpecialCase |
lemniscate of Bernoulli (when a = b)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cassini oval
|
| gptkbp:namedAfter |
gptkb:Giovanni_Domenico_Cassini
|
| gptkbp:parameter |
a
b |
| gptkbp:relatedTo |
gptkb:lemniscate_of_Bernoulli
gptkb:elliptic_curve |
| gptkbp:symmetry |
bilateral symmetry
|
| gptkbp:bfsParent |
gptkb:Jacques_Cassini
gptkb:Lemniscate_of_Bernoulli |
| gptkbp:bfsLayer |
7
|