Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:definedIn |
locus of points such that the product of distances to two fixed points is constant
|
| gptkbp:discoveredIn |
1680
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:geometry |
| gptkbp:hasEquation |
(x^2 + y^2)^2 - 2c^2(x^2 - y^2) + c^4 = a^4
|
| gptkbp:hasSpecialCase |
gptkb:lemniscate_of_Bernoulli
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cassini ovals
|
| gptkbp:isQuarticCurve |
true
|
| gptkbp:namedAfter |
gptkb:Giovanni_Domenico_Cassini
|
| gptkbp:parameter |
constant product of distances
distance between foci |
| gptkbp:relatedTo |
gptkb:lemniscate_of_Bernoulli
gptkb:elliptic_curve |
| gptkbp:symmetry |
bilateral symmetry
|
| gptkbp:bfsParent |
gptkb:Cassini
|
| gptkbp:bfsLayer |
6
|