Triple

T7861119
Position Surface form Disambiguated ID Type / Status
Subject Adrien-Marie Legendre E182500 entity
Predicate notableWork P4 FINISHED
Object 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.
E695815 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: Éléments de géométrie | Statement: [Adrien-Marie Legendre, notableWork, Éléments de géométrie]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Éléments de géométrie
Context triple: [Adrien-Marie Legendre, notableWork, Éléments de géométrie]
  • A. Géométrie de position
    Géométrie de position is a foundational 1803 treatise by Lazare Carnot that helped establish projective geometry and modern geometric reasoning about position and transformation.
  • 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. La Géométrie
    La Géométrie is René Descartes’ foundational 1637 treatise that introduced analytic geometry by uniting algebra and Euclidean geometry.
  • D. Book I of Geometry (Descartes)
    Book I of Geometry (Descartes) is the opening section of René Descartes’ seminal work where he introduces his method of applying algebra to geometry, laying the foundations of analytic geometry.
  • E. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • 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: Éléments de géométrie
Triple: [Adrien-Marie Legendre, notableWork, Éléments de géométrie]
Generated description
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.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Éléments de géométrie
Target entity description: 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.
  • A. Géométrie de position
    Géométrie de position is a foundational 1803 treatise by Lazare Carnot that helped establish projective geometry and modern geometric reasoning about position and transformation.
  • 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. La Géométrie
    La Géométrie is René Descartes’ foundational 1637 treatise that introduced analytic geometry by uniting algebra and Euclidean geometry.
  • D. Book I of Geometry (Descartes)
    Book I of Geometry (Descartes) is the opening section of René Descartes’ seminal work where he introduces his method of applying algebra to geometry, laying the foundations of analytic geometry.
  • E. Vorlesungen über Geometrie
    Vorlesungen über Geometrie is a foundational 19th-century textbook on geometry authored by German mathematician Alfred Clebsch.
  • 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_69ca82887fd48190975896bf38c4596b completed March 30, 2026, 2:02 p.m.
NER Named-entity recognition batch_69cb36bcb5cc8190a8a384ce0f020b9f completed March 31, 2026, 2:51 a.m.
NED1 Entity disambiguation (via context triple) batch_69cb5b4138d081908a5ff16b79f0a0c8 completed March 31, 2026, 5:27 a.m.
NEDg Description generation batch_69cb5f1c9ef08190b1b79482f39966c7 completed March 31, 2026, 5:43 a.m.
NED2 Entity disambiguation (via description) batch_69cb767b198481909cfc1f7a44e6f0d8 completed March 31, 2026, 7:23 a.m.
Created at: March 30, 2026, 4:53 p.m.