Triple

T1783757
Position Surface form Disambiguated ID Type / Status
Subject Geometry (Descartes) E39343 entity
Predicate hasPart P35 FINISHED
Object Book II of Geometry (Descartes)
Book II of Geometry (Descartes) is the section of René Descartes’ seminal work where he develops and applies his new algebraic methods to solve classical geometric problems, helping to lay the foundations of analytic geometry.
E202072 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: Book II of Geometry (Descartes) | Statement: [Geometry (Descartes), hasPart, Book II of Geometry (Descartes)]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Book II of Geometry (Descartes)
Context triple: [Geometry (Descartes), hasPart, Book II of Geometry (Descartes)]
  • A. 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.
  • B. Euclides adauctus et methodicus
    Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
  • C. Commentary on the Difficulties of Certain Postulates of Euclid
    Commentary on the Difficulties of Certain Postulates of Euclid is a mathematical treatise by Omar Khayyam in which he critically examines and attempts to resolve issues in Euclid’s postulates, especially the parallel postulate, laying early groundwork for later developments in geometry.
  • D. Ethica, ordine geometrico demonstrata
    Ethica, ordine geometrico demonstrata is Baruch Spinoza’s major philosophical work, a systematic treatise that presents his metaphysics, ethics, and theory of mind in a rigorous, geometrical style.
  • E. Elementa curvarum linearum
    Elementa curvarum linearum is a 17th-century mathematical treatise by Johan de Witt that systematically studies the geometry and properties of linear curves.
  • 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: Book II of Geometry (Descartes)
Triple: [Geometry (Descartes), hasPart, Book II of Geometry (Descartes)]
Generated description
Book II of Geometry (Descartes) is the section of René Descartes’ seminal work where he develops and applies his new algebraic methods to solve classical geometric problems, helping to lay the foundations of analytic geometry.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Book II of Geometry (Descartes)
Target entity description: Book II of Geometry (Descartes) is the section of René Descartes’ seminal work where he develops and applies his new algebraic methods to solve classical geometric problems, helping to lay the foundations of analytic geometry.
  • A. 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.
  • B. Euclides adauctus et methodicus
    Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
  • C. Commentary on the Difficulties of Certain Postulates of Euclid
    Commentary on the Difficulties of Certain Postulates of Euclid is a mathematical treatise by Omar Khayyam in which he critically examines and attempts to resolve issues in Euclid’s postulates, especially the parallel postulate, laying early groundwork for later developments in geometry.
  • D. Ethica, ordine geometrico demonstrata
    Ethica, ordine geometrico demonstrata is Baruch Spinoza’s major philosophical work, a systematic treatise that presents his metaphysics, ethics, and theory of mind in a rigorous, geometrical style.
  • E. Elementa curvarum linearum
    Elementa curvarum linearum is a 17th-century mathematical treatise by Johan de Witt that systematically studies the geometry and properties of linear curves.
  • 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_69a88630519c8190a17addd83c4a3ef4 completed March 4, 2026, 7:21 p.m.
NER Named-entity recognition batch_69aa64e4cf108190891338052b581ae8 completed March 6, 2026, 5:23 a.m.
NED1 Entity disambiguation (via context triple) batch_69adb5ce137481909fde04dfa2d6a45a completed March 8, 2026, 5:45 p.m.
NEDg Description generation batch_69adb8b54a5081908b7dba1ff0d1a8da completed March 8, 2026, 5:58 p.m.
NED2 Entity disambiguation (via description) batch_69adb9b7a32481908a11686d658a077a completed March 8, 2026, 6:02 p.m.
Created at: March 4, 2026, 7:31 p.m.