Triple

T18282631
Position Surface form Disambiguated ID Type / Status
Subject Levi Leonard Conant E437899 entity
Predicate hasWrittenWork P4 FINISHED
Object Plane and Spherical Trigonometry — NE NERFINISHED

How this triple was built (3 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: Plane and Spherical Trigonometry | Statement: [Levi Leonard Conant, hasWrittenWork, Plane and Spherical Trigonometry]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Plane and Spherical Trigonometry
Context triple: [Levi Leonard Conant, hasWrittenWork, Plane and Spherical Trigonometry]
  • A. 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.
  • B. A Treatise of Spherical Trigonometry
    A Treatise of Spherical Trigonometry is a mathematical work by Jeremiah Day that systematically presents the principles and applications of trigonometry on the surface of a sphere, primarily for use in astronomy and navigation.
  • C. Canon doctrinae triangulorum
    Canon doctrinae triangulorum is a 16th-century trigonometric table and treatise by Georg Joachim Rheticus that significantly advanced the use of trigonometry in astronomy and mathematics.
  • D. 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.
  • E. 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.
  • 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: Plane and Spherical Trigonometry
Target entity description: "Plane and Spherical Trigonometry" is a mathematical textbook that systematically develops the principles and applications of trigonometry on both flat (planar) and curved (spherical) surfaces, often used in fields like astronomy, navigation, and surveying.
  • A. 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.
  • B. A Treatise of Spherical Trigonometry
    A Treatise of Spherical Trigonometry is a mathematical work by Jeremiah Day that systematically presents the principles and applications of trigonometry on the surface of a sphere, primarily for use in astronomy and navigation.
  • C. Canon doctrinae triangulorum
    Canon doctrinae triangulorum is a 16th-century trigonometric table and treatise by Georg Joachim Rheticus that significantly advanced the use of trigonometry in astronomy and mathematics.
  • D. 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.
  • E. 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.
  • F. None of above. chosen

Provenance (2 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_69d8b914530c8190b4474d862a2b2a1b completed April 10, 2026, 8:47 a.m.
NER Named-entity recognition batch_69e50057c5c881909fcda72f4a98c8c3 completed April 19, 2026, 4:18 p.m.
Created at: April 10, 2026, 10:35 a.m.