Commentary on Euclid's Elements
E736687
Commentary on Euclid's Elements is a late antique philosophical and mathematical treatise by Proclus that analyzes and interprets Euclid’s foundational geometry text while preserving valuable information about earlier Greek mathematics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Commentary on Euclid's Elements canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T8473495 — 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: Commentary on Euclid's Elements Context triple: [Proclus, mainWork, Commentary on Euclid's Elements]
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A.
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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B.
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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C.
Euclid's Elements
Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
-
D.
De institutione geometrica
De institutione geometrica is a late antique Latin treatise on geometry that adapts and transmits classical Greek mathematical knowledge within the framework of the quadrivium.
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E.
The Foundations of Geometry
The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
- 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: Commentary on Euclid's Elements Target entity description: Commentary on Euclid's Elements is a late antique philosophical and mathematical treatise by Proclus that analyzes and interprets Euclid’s foundational geometry text while preserving valuable information about earlier Greek mathematics.
-
A.
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.
-
B.
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.
-
C.
Euclid's Elements
Euclid's Elements is an ancient Greek mathematical treatise that systematically presents the foundations of geometry, number theory, and mathematical proof.
-
D.
De institutione geometrica
De institutione geometrica is a late antique Latin treatise on geometry that adapts and transmits classical Greek mathematical knowledge within the framework of the quadrivium.
-
E.
The Foundations of Geometry
The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
late antique work
ⓘ
mathematical treatise ⓘ philosophical treatise ⓘ |
| aimsTo |
clarify Euclid's logical structure
ⓘ
integrate Euclid's geometry into Neoplatonic curriculum ⓘ |
| analyzesWork |
Elements
NERFINISHED
ⓘ
Euclid's Elements NERFINISHED ⓘ |
| associatedWith | Alexandrian mathematical tradition ⓘ |
| author | Proclus NERFINISHED ⓘ |
| contains |
biographical notes on earlier mathematicians
ⓘ
historical survey of Greek geometry ⓘ prologues to Euclid's propositions ⓘ |
| discusses |
axiomatic method
ⓘ
common notions in Euclid's Elements ⓘ definitions in Euclid's Elements ⓘ nature of mathematical objects ⓘ postulates in Euclid's Elements ⓘ relationship between mathematics and philosophy ⓘ |
| focusesOn | Book I of Euclid's Elements NERFINISHED ⓘ |
| genre | commentary ⓘ |
| hasModernEditions | critical editions in Greek ⓘ |
| hasModernTranslations |
English
ⓘ
other modern languages ⓘ |
| influenced |
Renaissance studies of Euclid
ⓘ
medieval mathematical scholarship ⓘ |
| influencedBy |
Plato
ⓘ
earlier Greek mathematical tradition ⓘ |
| literaryForm |
mathematical commentary
ⓘ
philosophical commentary ⓘ |
| mainTopic |
Platonist philosophy of mathematics
ⓘ
geometry ⓘ history of Greek mathematics ⓘ |
| originalLanguage | Ancient Greek ⓘ |
| period | Late Antiquity NERFINISHED ⓘ |
| philosophicalPerspective | Platonic realism about mathematical entities ⓘ |
| philosophicalTradition | Neoplatonism NERFINISHED ⓘ |
| preservedIn | medieval manuscripts ⓘ |
| preserves | fragments of lost Greek mathematical works ⓘ |
| providesInformationOn |
Eudoxus of Cnidus
NERFINISHED
ⓘ
Pythagoreans NERFINISHED ⓘ Theaetetus NERFINISHED ⓘ earlier Greek mathematicians ⓘ |
| relatedTo | Platonic Academy in Athens NERFINISHED ⓘ |
| subject | Euclid's Elements NERFINISHED ⓘ |
| title | Commentary on Euclid's Elements NERFINISHED ⓘ |
| usedAsSourceBy | historians of mathematics ⓘ |
| workOf | Proclus Lycaeus NERFINISHED ⓘ |
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: Commentary on Euclid's Elements Description of subject: Commentary on Euclid's Elements is a late antique philosophical and mathematical treatise by Proclus that analyzes and interprets Euclid’s foundational geometry text while preserving valuable information about earlier Greek mathematics.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.