Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Pappus's_centroid_theorem
|
| gptkbp:appliesTo |
planar figure rotated about an external axis
|
| gptkbp:category |
theorems in geometry
|
| gptkbp:date |
4th century
|
| gptkbp:describes |
surface area of revolution
volume of revolution |
| gptkbp:field |
gptkb:geometry
gptkb:mathematics |
| gptkbp:form |
Volume = (area) × (distance traveled by centroid)
Surface area = (arc length) × (distance traveled by centroid) |
| gptkbp:hasPart |
gptkb:First_theorem_of_Pappus
gptkb:Second_theorem_of_Pappus |
| https://www.w3.org/2000/01/rdf-schema#label |
Pappus's theorem
|
| gptkbp:namedAfter |
gptkb:Pappus_of_Alexandria
|
| gptkbp:publishedIn |
gptkb:synagogue
|
| gptkbp:relatedTo |
solid of revolution
centroid |
| gptkbp:usedIn |
calculus
engineering physics |
| gptkbp:bfsParent |
gptkb:Projective_geometry
|
| gptkbp:bfsLayer |
5
|