Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alternativeName |
Cavalieri's law
|
| gptkbp:appliesTo |
plane figures of equal width and equal cross-sectional lengths
solids of equal height and cross-sectional area |
| gptkbp:category |
gptkb:mathematical_concept
|
| gptkbp:field |
gptkb:geometry
|
| gptkbp:formedBy |
17th century
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cavalieri's principle
|
| gptkbp:influenced |
development of calculus
|
| gptkbp:namedAfter |
gptkb:Bonaventura_Cavalieri
|
| gptkbp:relatedTo |
integral calculus
|
| gptkbp:statedIn |
If two solids have equal heights and equal cross-sectional areas at every level, then they have equal volumes.
|
| gptkbp:usedFor |
finding volumes
|
| gptkbp:bfsParent |
gptkb:Bonaventura_Cavalieri
|
| gptkbp:bfsLayer |
7
|