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.
All labels observed (2)
| Label | Occurrences |
|---|---|
| De spiralibus canonical | 2 |
| Περὶ ἑλίκων | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6802161 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: De spiralibus Context triple: [On Spirals, latinTitle, De spiralibus]
-
A.
Spiral
"Spiral" is a notable work by filmmaker Mark Burg, best known as a producer in the horror and thriller genres.
-
B.
Spiral
Spiral is a distinctive modern architectural complex in Tokyo’s Aoyama district known for its spiral ramp design and role as a cultural and commercial hub.
-
C.
Zesgehuchten
Zesgehuchten was a former village and municipality in the Dutch province of North Brabant, now part of the city of Geldrop-Mierlo.
-
D.
Laetentur Caeli
Laetentur Caeli is a papal bull issued at the Council of Florence in 1439 that proclaimed the short-lived union between the Roman Catholic and Eastern Orthodox Churches.
-
E.
Sacra Parallela
Sacra Parallela is a Byzantine florilegium traditionally attributed to John of Damascus, compiling biblical and patristic excerpts arranged thematically for theological and moral instruction.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: De spiralibus Target entity description: 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.
-
A.
Spiral
"Spiral" is a notable work by filmmaker Mark Burg, best known as a producer in the horror and thriller genres.
-
B.
Spiral
Spiral is a distinctive modern architectural complex in Tokyo’s Aoyama district known for its spiral ramp design and role as a cultural and commercial hub.
-
C.
Zesgehuchten
Zesgehuchten was a former village and municipality in the Dutch province of North Brabant, now part of the city of Geldrop-Mierlo.
-
D.
Laetentur Caeli
Laetentur Caeli is a papal bull issued at the Council of Florence in 1439 that proclaimed the short-lived union between the Roman Catholic and Eastern Orthodox Churches.
-
E.
Sacra Parallela
Sacra Parallela is a Byzantine florilegium traditionally attributed to John of Damascus, compiling biblical and patristic excerpts arranged thematically for theological and moral instruction.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical treatise
ⓘ
work of geometry ⓘ |
| approximateDate | 3rd century BCE ⓘ |
| associatedWith | Syracuse ⓘ |
| author | Archimedes ⓘ |
| 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 ⓘ |
| hasLatinTitle | De spiralibus ⓘ |
| 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
ⓘ
linked to:
Archimedes' spiral
spiral curves ⓘ |
| mathematicalDomain | plane geometry ⓘ |
| originalLanguage | Ancient Greek ⓘ |
| originalTitle |
On Spirals
ⓘ
Περὶ ἑλίκων ⓘ
linked to:
De spiralibus
|
| partOf | corpus of works of Archimedes ⓘ |
| preservedIn |
Greek manuscript tradition
ⓘ
medieval Latin manuscripts ⓘ |
| relatedTo |
Method of exhaustion
ⓘ
On the Measurement of a Circle ⓘ
linked to:
On the Measurement of the Circle
On the Sphere and Cylinder ⓘ |
| 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
ⓘ
linked to:
Archimedes
|
| uses | geometric constructions with straightedge and compass ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: De spiralibus Description of subject: 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.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: De spiralibus