Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
space curve
|
| gptkbp:category |
gptkb:algebraic_geometry
quartic curve |
| gptkbp:containsGenus |
0
|
| gptkbp:definedIn |
intersection of a sphere and a cylinder
|
| gptkbp:degree |
4
|
| gptkbp:dimensions |
3
|
| gptkbp:discoveredIn |
1692
|
| gptkbp:hasEquation |
(x^2 + y^2 + z^2 = r^2) and (x^2 + y^2 = rx)
|
| gptkbp:hasSingularity |
cusp
double point |
| https://www.w3.org/2000/01/rdf-schema#label |
Viviani's curve
|
| gptkbp:namedAfter |
gptkb:Vincenzo_Viviani
|
| gptkbp:notableFor |
self-intersecting
|
| gptkbp:parametricEquation |
x = r(1 + cos t)/2, y = r sin t/2, z = r sin t sqrt(1 + cos t)/2
|
| gptkbp:relatedTo |
gptkb:butter
cylinder |
| gptkbp:symmetry |
rotational symmetry
|
| gptkbp:usedIn |
gptkb:geometry
gptkb:mathematics calculus |
| gptkbp:bfsParent |
gptkb:Vincenzo_Viviani
|
| gptkbp:bfsLayer |
7
|