The Method
E651230
The Method is an ancient mathematical treatise by Archimedes that uses mechanical reasoning to discover and justify geometric theorems.
Statements (40)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical treatise
ⓘ
work by Archimedes ⓘ |
| aim |
to discover geometric theorems
ⓘ
to justify geometric theorems ⓘ |
| associatedWith | Syracuse NERFINISHED ⓘ |
| author | Archimedes NERFINISHED ⓘ |
| contains |
proofs of area and volume formulas
ⓘ
results on centers of gravity ⓘ |
| dateWritten | 3rd century BCE ⓘ |
| demonstrates |
relationship between physics and geometry
ⓘ
use of mechanical methods to obtain mathematical results ⓘ |
| describes |
balancing of geometric figures on a lever
ⓘ
use of infinitesimal slices ⓘ |
| field |
geometry
ⓘ
mathematics ⓘ |
| genre | ancient Greek mathematical work ⓘ |
| historicalSignificance | reveals Archimedes’ approach to problems later treated by calculus ⓘ |
| influenced |
development of integral calculus concepts
ⓘ
history of calculus ⓘ |
| language | Ancient Greek ⓘ |
| notableFor |
combining mechanical intuition with rigorous proof
ⓘ
early use of infinitesimal ideas ⓘ explicit description of Archimedes’ heuristic methods ⓘ |
| originalTitle | Method of Mechanical Theorems NERFINISHED ⓘ |
| period | Hellenistic period ⓘ |
| philosophicalAspect | distinction between discovery and proof in mathematics ⓘ |
| preservedOn | parchment reused in a medieval prayer book ⓘ |
| recoveredBy | modern imaging techniques on the Archimedes Palimpsest ⓘ |
| status | partially preserved ⓘ |
| studiedIn | history of mathematics ⓘ |
| survivesIn | Archimedes Palimpsest NERFINISHED ⓘ |
| title | The Method NERFINISHED ⓘ |
| topic |
areas of plane figures
ⓘ
centroids of figures ⓘ volumes of solids ⓘ |
| typeOfReasoning | heuristic mechanical reasoning ⓘ |
| uses |
mechanical reasoning
ⓘ
method of exhaustion ⓘ |
| wasThoughtLostUntil | discovery of the Archimedes Palimpsest ⓘ |
| workOf | Archimedes of Syracuse NERFINISHED ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.