Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
minimal surface
|
| gptkbp:canBeEmbeddedIn |
Euclidean 3-space
|
| gptkbp:discoveredBy |
gptkb:Leonhard_Euler
|
| gptkbp:discoveredIn |
1744
|
| gptkbp:generation |
rotating a catenary
|
| gptkbp:hasEquation |
x^2 + y^2 = a^2 cosh^2(z/a)
|
| gptkbp:hasGaussianCurvature |
negative except at the neck
|
| gptkbp:hasMeanCurvature |
zero
|
| https://www.w3.org/2000/01/rdf-schema#label |
catenoid
|
| gptkbp:isMinimalSurface |
true
|
| gptkbp:isomorphicTo |
cylinder
|
| gptkbp:isOneOf |
only two minimal surfaces of revolution
|
| gptkbp:isSurfaceOfRevolution |
true
|
| gptkbp:namedAfter |
catenary
|
| gptkbp:otherMinimalSurfaceOfRevolution |
gptkb:aircraft
|
| gptkbp:usedIn |
gptkb:architecture
gptkb:mathematics physics soap film experiments |
| gptkbp:bfsParent |
gptkb:Scherk's_surface
|
| gptkbp:bfsLayer |
7
|