A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids
E1010520
"A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids" is a mathematical textbook by Jeremiah Day that applies geometric principles to the measurement of areas and volumes.
All labels observed (1)
| Label | Occurrences |
|---|---|
| A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T12935547 — 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: A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids Context triple: [Jeremiah Day, notableWork, A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids]
-
A.
Elements of Geometry
Elements of Geometry is a widely used 18th-century textbook by John Playfair that modernized and clarified Euclid’s geometric principles for mathematical education.
-
B.
On the Principles of Geometry
"On the Principles of Geometry" is Nikolai Lobachevsky’s foundational work that introduced non-Euclidean (hyperbolic) geometry, challenging the universality of Euclid’s parallel postulate.
-
C.
Inventional Geometry
Inventional Geometry is an educational work by William George Spencer that introduces geometric concepts through intuitive, discovery-based learning rather than formal proofs.
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D.
Éléments de géométrie
Éléments de géométrie is a foundational 18th-century geometry textbook by Adrien-Marie Legendre that systematized Euclidean geometry and was widely used in mathematical education for decades.
-
E.
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.
- 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: A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids Target entity description: "A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids" is a mathematical textbook by Jeremiah Day that applies geometric principles to the measurement of areas and volumes.
-
A.
Elements of Geometry
Elements of Geometry is a widely used 18th-century textbook by John Playfair that modernized and clarified Euclid’s geometric principles for mathematical education.
-
B.
On the Principles of Geometry
"On the Principles of Geometry" is Nikolai Lobachevsky’s foundational work that introduced non-Euclidean (hyperbolic) geometry, challenging the universality of Euclid’s parallel postulate.
-
C.
Inventional Geometry
Inventional Geometry is an educational work by William George Spencer that introduces geometric concepts through intuitive, discovery-based learning rather than formal proofs.
-
D.
Éléments de géométrie
Éléments de géométrie is a foundational 18th-century geometry textbook by Adrien-Marie Legendre that systematized Euclidean geometry and was widely used in mathematical education for decades.
-
E.
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.
- F. None of above. chosen
Statements (33)
| Predicate | Object |
|---|---|
| instanceOf |
geometry textbook
ⓘ
mathematics textbook ⓘ non-fiction book ⓘ person ⓘ |
| appliesPrinciplesOf | Euclidean geometry NERFINISHED ⓘ |
| author | Jeremiah Day NERFINISHED ⓘ |
| contains |
geometrical propositions
ⓘ
rules for computation of areas ⓘ rules for computation of volumes ⓘ worked examples ⓘ |
| educationalLevel |
advanced secondary-level
ⓘ
college-level ⓘ |
| focusesOn |
solids
ⓘ
superficies ⓘ |
| genre | educational literature ⓘ |
| historicalContext | 19th-century mathematical education ⓘ |
| intendedAudience |
students of mathematics
ⓘ
teachers of mathematics ⓘ |
| intendedUse | practical instruction ⓘ |
| language | English ⓘ |
| mainSubject |
geometry
ⓘ
measurement of areas ⓘ measurement of volumes ⓘ mensuration ⓘ |
| notableWork | A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids NERFINISHED ⓘ |
| occupation |
educator
ⓘ
mathematician ⓘ |
| relatedTo | Jeremiah Day NERFINISHED ⓘ |
| topic |
areas of plane figures
ⓘ
surfaces of solids ⓘ volumes of solids ⓘ |
| uses |
algebraic computation
ⓘ
geometric formulas ⓘ |
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: A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids Description of subject: "A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids" is a mathematical textbook by Jeremiah Day that applies geometric principles to the measurement of areas and volumes.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Jeremiah Day
→
notableWork
→
A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids
ⓘ