Triple

T12935545
Position Surface form Disambiguated ID Type / Status
Subject Jeremiah Day E309496 entity
Predicate notableWork P4 FINISHED
Object A Treatise of Plane Trigonometry
A Treatise of Plane Trigonometry is a foundational 19th-century mathematical textbook by Jeremiah Day that systematically presents the principles and applications of plane trigonometry.
E1010519 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 Treatise of Plane Trigonometry | Statement: [Jeremiah Day, notableWork, A Treatise of Plane Trigonometry]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: A Treatise of Plane Trigonometry
Context triple: [Jeremiah Day, notableWork, A Treatise of Plane Trigonometry]
  • A. De triangulis omnimodis
    De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
  • B. 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.
  • C. Treatise of Algebra
    Treatise of Algebra is an 18th-century mathematical work by Scottish mathematician Colin Maclaurin that systematically develops algebraic theory and its applications.
  • D. Commentary on Euclid's Elements
    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.
  • E. Elements of Analytical Geometry and of the Differential and Integral Calculus
    Elements of Analytical Geometry and of the Differential and Integral Calculus is a 19th-century mathematics textbook that systematically introduces analytic geometry alongside the fundamentals of differential and integral calculus.
  • 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 Treatise of Plane Trigonometry
Triple: [Jeremiah Day, notableWork, A Treatise of Plane Trigonometry]
Generated description
A Treatise of Plane Trigonometry is a foundational 19th-century mathematical textbook by Jeremiah Day that systematically presents the principles and applications of plane trigonometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: A Treatise of Plane Trigonometry
Target entity description: A Treatise of Plane Trigonometry is a foundational 19th-century mathematical textbook by Jeremiah Day that systematically presents the principles and applications of plane trigonometry.
  • A. De triangulis omnimodis
    De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
  • B. 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.
  • C. Treatise of Algebra
    Treatise of Algebra is an 18th-century mathematical work by Scottish mathematician Colin Maclaurin that systematically develops algebraic theory and its applications.
  • D. Commentary on Euclid's Elements
    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.
  • E. Elements of Analytical Geometry and of the Differential and Integral Calculus
    Elements of Analytical Geometry and of the Differential and Integral Calculus is a 19th-century mathematics textbook that systematically introduces analytic geometry alongside the fundamentals of differential and integral calculus.
  • 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.