Triple

T12935547
Position Surface form Disambiguated ID Type / Status
Subject Jeremiah Day E309496 entity
Predicate notableWork P4 FINISHED
Object A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids
"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.
E1010520 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids | Statement: [Jeremiah Day, notableWork, A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids]
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.
  • 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.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids
Triple: [Jeremiah Day, notableWork, A Practical Application of the Principles of Geometry to the Mensuration of Superficies and Solids]
Generated 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.
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

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d7bdfa933c8190b5a27aa4a08a19b7 completed April 9, 2026, 2:55 p.m.
NER Named-entity recognition batch_69d97dc76d688190bd58a23351373666 completed April 10, 2026, 10:46 p.m.
NED1 Entity disambiguation (via context triple) batch_69f6af6d16388190abc848ac67bf1fb9 completed May 3, 2026, 2:14 a.m.
NEDg Description generation batch_69f6b08df448819080c0a7b0921bcc9f completed May 3, 2026, 2:18 a.m.
NED2 Entity disambiguation (via description) batch_69f6b11ced30819090f67a0b1e1369aa completed May 3, 2026, 2:21 a.m.
Created at: April 9, 2026, 5:42 p.m.