Pappus's theorem on surface and volume of revolution
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Pappus's_centroid_theorem
|
| gptkbp:appliesTo |
plane curves
plane regions |
| gptkbp:date |
3rd century AD
|
| gptkbp:describes |
surface area of revolution
volume of revolution |
| gptkbp:field |
gptkb:geometry
solid geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Pappus's theorem on surface and volume of revolution
|
| gptkbp:namedAfter |
gptkb:Pappus_of_Alexandria
|
| gptkbp:publishedIn |
gptkb:Collection_(Synagoge)
|
| gptkbp:relatedTo |
solid of revolution
centroid surface of revolution |
| gptkbp:state |
The surface area generated by revolving a plane curve about an external axis equals the product of the length of the curve and the distance traveled by its centroid.
The volume generated by revolving a plane region about an external axis equals the product of the area of the region and the distance traveled by its centroid. |
| gptkbp:usedIn |
calculus
engineering physics |
| gptkbp:bfsParent |
gptkb:Pappus_of_Alexandria
|
| gptkbp:bfsLayer |
6
|