Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:area |
a^2
|
| gptkbp:category |
plane curve
|
| gptkbp:centralTo |
origin
|
| gptkbp:degree |
4
|
| gptkbp:discoveredBy |
gptkb:Jacob_Bernoulli
|
| gptkbp:discoveredIn |
1694
|
| gptkbp:distanceBetweenFoci |
a√2
|
| gptkbp:genus |
0
|
| gptkbp:hasEquation |
(x^2 + y^2)^2 = a^2(x^2 - y^2)
|
| gptkbp:hasFoci |
two points on x-axis
|
| gptkbp:hasSpecialCase |
gptkb:Cassini_oval
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lemniscate of Bernoulli
|
| gptkbp:namedAfter |
gptkb:Jacob_Bernoulli
|
| gptkbp:perimeter |
related to elliptic integral
|
| gptkbp:polarEquation |
r^2 = a^2 cos(2θ)
|
| gptkbp:relatedTo |
elliptic functions
|
| gptkbp:shape |
figure-eight
|
| gptkbp:symmetry |
about both axes
|
| gptkbp:type |
gptkb:algebraic_geometry
|
| gptkbp:usedIn |
complex analysis
|
| gptkbp:bfsParent |
gptkb:Lemniscate
|
| gptkbp:bfsLayer |
6
|