Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Pappus's_centroid_theorem
Guldinus's theorem |
| gptkbp:appliesTo |
plane curves
plane figures |
| gptkbp:centroidInvolved |
centroid of a curve
centroid of a plane area |
| gptkbp:describes |
surface area of revolution
volume of revolution |
| gptkbp:field |
gptkb:geometry
gptkb:mathematics |
| gptkbp:firstTheoremStates |
surface area generated by revolving a plane curve equals the product of the length of the curve and the distance traveled by its centroid
|
| gptkbp:formedBy |
gptkb:Pappus_of_Alexandria
Paul Guldin |
| https://www.w3.org/2000/01/rdf-schema#label |
Pappus–Guldinus theorem
|
| gptkbp:namedAfter |
gptkb:Pappus_of_Alexandria
Paul Guldin |
| gptkbp:secondTheoremStates |
volume generated by revolving a plane area equals the product of the area and the distance traveled by its centroid
|
| gptkbp:statedIn |
gptkb:Pappus's_Collection
|
| gptkbp:usedIn |
solid of revolution
surface of revolution |
| gptkbp:bfsParent |
gptkb:Pappus's_centroid_theorem
|
| gptkbp:bfsLayer |
7
|