De spiralibus
E620688
De spiralibus is the Latin title of Archimedes’ treatise "On Spirals," a foundational work in ancient Greek geometry that studies the properties and applications of the spiral curve now known as the Archimedean spiral.
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical treatise
ⓘ
work of geometry ⓘ |
| approximateDate | 3rd century BCE ⓘ |
| associatedWith | Syracuse NERFINISHED ⓘ |
| author | Archimedes NERFINISHED ⓘ |
| contributesTo |
classical Greek geometry
ⓘ
early infinitesimal methods ⓘ theory of curves ⓘ |
| defines | Archimedean spiral ⓘ |
| field |
ancient Greek mathematics
ⓘ
geometry ⓘ |
| focusesOn |
areas bounded by spirals
ⓘ
construction of spiral curves ⓘ lengths related to spirals ⓘ properties of the Archimedean spiral ⓘ tangents to spirals ⓘ |
| genre | mathematical proof treatise ⓘ |
| hasCanonicalCurve | Archimedean spiral r = aθ (in modern notation) ⓘ |
| hasEnglishTitle | On Spirals NERFINISHED ⓘ |
| hasLatinTitle | De spiralibus NERFINISHED ⓘ |
| hasNotableConcept |
use of spirals to square the circle approximately
ⓘ
use of spirals to trisect an angle ⓘ |
| historicalPeriod | Hellenistic mathematics ⓘ |
| influenced |
Renaissance mathematicians
ⓘ
development of polar coordinates ⓘ later studies of plane curves ⓘ |
| mainSubject |
Archimedean spiral
NERFINISHED
ⓘ
spiral curves ⓘ |
| mathematicalDomain | plane geometry ⓘ |
| originalLanguage | Ancient Greek ⓘ |
| originalTitle |
On Spirals
ⓘ
Περὶ ἑλίκων NERFINISHED ⓘ |
| partOf | corpus of works of Archimedes ⓘ |
| preservedIn |
Greek manuscript tradition
ⓘ
medieval Latin manuscripts ⓘ |
| relatedTo |
Method of exhaustion
ⓘ
On the Measurement of a Circle NERFINISHED ⓘ On the Sphere and Cylinder NERFINISHED ⓘ |
| studies |
locus generated by a point moving with uniform speed along a line while the line rotates with uniform angular velocity
ⓘ
mechanical applications of spirals ⓘ quadrature problems involving spirals ⓘ relationship between spiral radius and angle ⓘ |
| titleLanguage | Latin ⓘ |
| traditionallyAttributedTo | Archimedes of Syracuse NERFINISHED ⓘ |
| uses | geometric constructions with straightedge and compass ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.