Euclid's Elements
E190161
Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
All labels observed (6)
| Label | Occurrences |
|---|---|
| Euclid's Elements canonical | 6 |
| Euclidean geometry | 4 |
| Book I of the Elements | 1 |
| Elements (Euclid) | 1 |
| Elements of Euclid | 1 |
| The Thirteen Books of Euclid’s Elements | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1686031 — 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.
Target entity: Euclid's Elements Context triple: [Platonic solids, describedIn, Euclid's Elements]
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A.
Euclides adauctus et methodicus
Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
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B.
Almagest
The Almagest is an influential 2nd-century astronomical treatise by Claudius Ptolemy that systematically presents the geocentric model of the cosmos and provides mathematical tools for predicting planetary motions.
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C.
Commentary on the Difficulties of Certain Postulates of Euclid
Commentary on the Difficulties of Certain Postulates of Euclid is a mathematical treatise by Omar Khayyam in which he critically examines and attempts to resolve issues in Euclid’s postulates, especially the parallel postulate, laying early groundwork for later developments in geometry.
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D.
Euclid
Euclid was an ancient Greek mathematician, often called the "father of geometry," whose work, especially the Elements, laid the foundations of classical geometry.
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E.
The Method of Mechanical Theorems
The Method of Mechanical Theorems is a treatise by Archimedes in which he uses heuristic mechanical arguments, involving balances and centers of mass, to discover and justify results in geometry and calculus-like area and volume calculations.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Euclid's Elements Target entity description: Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
-
A.
Euclides adauctus et methodicus
Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
-
B.
Almagest
The Almagest is an influential 2nd-century astronomical treatise by Claudius Ptolemy that systematically presents the geocentric model of the cosmos and provides mathematical tools for predicting planetary motions.
-
C.
Commentary on the Difficulties of Certain Postulates of Euclid
Commentary on the Difficulties of Certain Postulates of Euclid is a mathematical treatise by Omar Khayyam in which he critically examines and attempts to resolve issues in Euclid’s postulates, especially the parallel postulate, laying early groundwork for later developments in geometry.
-
D.
Euclid
Euclid was an ancient Greek mathematician, often called the "father of geometry," whose work, especially the Elements, laid the foundations of classical geometry.
-
E.
The Method of Mechanical Theorems
The Method of Mechanical Theorems is a treatise by Archimedes in which he uses heuristic mechanical arguments, involving balances and centers of mass, to discover and justify results in geometry and calculus-like area and volume calculations.
- F. None of above. chosen
Statements (53)
| Predicate | Object |
|---|---|
| instanceOf |
ancient Greek work
ⓘ
geometry textbook ⓘ mathematical treatise ⓘ |
| author | Euclid ⓘ |
| book10Focus | incommensurables ⓘ |
| book11Focus | solid geometry ⓘ |
| book12Focus | method of exhaustion ⓘ |
| book13Focus | regular polyhedra ⓘ |
| book1Contains | Pythagorean theorem ⓘ |
| book1Focus | plane geometry ⓘ |
| book2Focus | geometric algebra ⓘ |
| book3Focus | circle geometry ⓘ |
| book4Focus | construction of regular polygons ⓘ |
| book5Focus | theory of proportion ⓘ |
| book6Focus | similar figures ⓘ |
| book7Focus | elementary number theory ⓘ |
| book8Focus | number theory and geometric progressions ⓘ |
| book9Focus | number theory and infinite primes ⓘ |
| classification | classical mathematics text ⓘ |
| contains |
common notions
ⓘ
definitions ⓘ postulates ⓘ proofs ⓘ propositions ⓘ |
| countryOfOrigin |
Greek Antiquity
ⓘ
surface form:
Ancient Greece
|
| dateWritten | circa 300 BC ⓘ |
| field |
geometry
ⓘ
mathematical logic ⓘ mathematical proof ⓘ number theory ⓘ |
| hasEdition |
Arabic translations
ⓘ
English translations ⓘ Latin translations ⓘ |
| influenced |
Bertrand Russell
ⓘ
David Hilbert ⓘ Isaac Newton ⓘ René Descartes ⓘ Western mathematical education ⓘ foundations of mathematics ⓘ |
| language | Ancient Greek ⓘ |
| notableEditor |
David Hilbert
ⓘ
Johannes Kepler ⓘ |
| notableResult |
Pythagorean theorem proof
ⓘ
classification of regular polyhedra ⓘ proof of the infinitude of prime numbers ⓘ |
| notableTranslator |
Adelard of Bath
ⓘ
Campanus of Novara ⓘ |
| numberOfBooks | 13 ⓘ |
| structure | axiomatic system ⓘ |
| usesMethod |
deductive reasoning
ⓘ
synthetic geometry ⓘ |
| wasStandardTextbookDuration | over two millennia ⓘ |
| wasStandardTextbookFor | geometry ⓘ |
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.
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.
Subject: Euclid's Elements Description of subject: Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
Referenced by (14)
Full triples — surface form annotated when it differs from this entity's canonical label.