Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Torricelli's_trumpet
|
| gptkbp:category |
gptkb:geometry
gptkb:paradox calculus |
| gptkbp:definedIn |
surface of revolution of y=1/x for x≥1 about the x-axis
|
| gptkbp:discoveredBy |
gptkb:Evangelista_Torricelli
|
| gptkbp:firstDescribed |
17th century
|
| gptkbp:hasEquation |
y=1/x, x≥1, revolved about x-axis
|
| gptkbp:hasProperty |
finite volume
infinite surface area |
| https://www.w3.org/2000/01/rdf-schema#label |
Gabriel's Horn
|
| gptkbp:namedAfter |
gptkb:Archangel_Gabriel
|
| gptkbp:paradox |
gptkb:Painter's_paradox
|
| gptkbp:relatedTo |
calculus
infinite series improper integrals |
| 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:Torricelli's_trumpet
|
| gptkbp:bfsLayer |
6
|