Triple
T18282632
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Levi Leonard Conant |
E437899
|
entity |
| Predicate | hasWrittenWork |
P4
|
FINISHED |
| Object |
Original Exercises in Plane and Spherical Trigonometry
Original Exercises in Plane and Spherical Trigonometry is a mathematics textbook offering practice problems and worked examples in both plane and spherical trigonometry.
|
E1316071
|
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: Original Exercises in Plane and Spherical Trigonometry | Statement: [Levi Leonard Conant, hasWrittenWork, Original Exercises in Plane and Spherical Trigonometry]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Original Exercises in Plane and Spherical Trigonometry Context triple: [Levi Leonard Conant, hasWrittenWork, Original Exercises in Plane and Spherical Trigonometry]
-
A.
Plane and Spherical Trigonometry
"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.
-
B.
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.
-
C.
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.
-
D.
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.
-
E.
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.
- 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: Original Exercises in Plane and Spherical Trigonometry Triple: [Levi Leonard Conant, hasWrittenWork, Original Exercises in Plane and Spherical Trigonometry]
Generated description
Original Exercises in Plane and Spherical Trigonometry is a mathematics textbook offering practice problems and worked examples in both plane and spherical trigonometry.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Original Exercises in Plane and Spherical Trigonometry Target entity description: Original Exercises in Plane and Spherical Trigonometry is a mathematics textbook offering practice problems and worked examples in both plane and spherical trigonometry.
-
A.
Plane and Spherical Trigonometry
chosen
"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.
-
B.
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.
-
C.
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.
-
D.
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.
-
E.
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.
- F. None of above.
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_69d8b914530c8190b4474d862a2b2a1b |
completed | April 10, 2026, 8:47 a.m. |
| NER | Named-entity recognition | batch_69e50057c5c881909fcda72f4a98c8c3 |
completed | April 19, 2026, 4:18 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_6a03bb51f384819086a673b455aa15da |
completed | May 12, 2026, 11:44 p.m. |
| NEDg | Description generation | batch_6a03bbda80748190b8e56fb77140ecb9 |
completed | May 12, 2026, 11:46 p.m. |
| NED2 | Entity disambiguation (via description) | batch_6a03bc589a548190b6226a104adea97e |
completed | May 12, 2026, 11:48 p.m. |
Created at: April 10, 2026, 10:35 a.m.