Archimedes' sphere and cylinder theorem
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:discoveredIn |
3rd century BCE
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:formedBy |
gptkb:Archimedes
|
| gptkbp:historicalSignificance |
Archimedes requested a sphere and cylinder be engraved on his tombstone to commemorate this discovery
|
| https://www.w3.org/2000/01/rdf-schema#label |
Archimedes' sphere and cylinder theorem
|
| gptkbp:provenBy |
exhaustion
|
| gptkbp:relatedTo |
gptkb:Archimedes
gptkb:butter cylinder |
| gptkbp:state |
The volume of a sphere is two-thirds the volume of the circumscribing cylinder
The surface area of a sphere is two-thirds the surface area of the circumscribing cylinder (including bases) |
| gptkbp:bfsParent |
gptkb:napkin_ring_theorem
|
| gptkbp:bfsLayer |
8
|