Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Gabriel's_Horn
|
| gptkbp:category |
gptkb:geometry
gptkb:paradox calculus |
| gptkbp:definedIn |
surface of revolution
|
| gptkbp:dimensions |
three-dimensional
|
| gptkbp:firstDescribed |
17th century
|
| gptkbp:generation |
rotating the curve y=1/x, x≥1, about the x-axis
|
| gptkbp:hasProperty |
finite volume
infinite surface area |
| https://www.w3.org/2000/01/rdf-schema#label |
Torricelli's trumpet
|
| gptkbp:namedAfter |
gptkb:Evangelista_Torricelli
|
| gptkbp:paradox |
gptkb:Painter's_paradox
|
| gptkbp:relatedTo |
calculus
infinite series solid of revolution |
| gptkbp:surfaceAreaFormula |
2π∫₁^∞ (1/x)√(1+(-1/x^2)^2) dx
|
| gptkbp:usedIn |
mathematical paradoxes
|
| gptkbp:volume |
π∫₁^∞ (1/x)^2 dx
|
| gptkbp:bfsParent |
gptkb:Evangelista_Torricelli
|
| gptkbp:bfsLayer |
5
|