Triple
T12935546
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Jeremiah Day |
E309496
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
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.
|
E1013416
|
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 Spherical Trigonometry | Statement: [Jeremiah Day, notableWork, A Treatise of Spherical Trigonometry]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: A Treatise of Spherical Trigonometry Context triple: [Jeremiah Day, notableWork, A Treatise of 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 Compendium of Spherical Astronomy
A Compendium of Spherical Astronomy is a foundational 19th-century textbook by Simon Newcomb that systematically presents the mathematical and theoretical principles underlying positional astronomy and celestial mechanics.
-
C.
On Conoids and Spheroids
"On Conoids and Spheroids" is a mathematical treatise by Archimedes in which he investigates the geometry, volumes, and surface areas of solids generated by rotating conic sections.
-
D.
De triangulis omnimodis
De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
-
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.
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 Spherical Trigonometry Triple: [Jeremiah Day, notableWork, A Treatise of Spherical Trigonometry]
Generated description
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.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: A Treatise of Spherical Trigonometry Target entity description: 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.
-
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 Compendium of Spherical Astronomy
A Compendium of Spherical Astronomy is a foundational 19th-century textbook by Simon Newcomb that systematically presents the mathematical and theoretical principles underlying positional astronomy and celestial mechanics.
-
C.
On Conoids and Spheroids
"On Conoids and Spheroids" is a mathematical treatise by Archimedes in which he investigates the geometry, volumes, and surface areas of solids generated by rotating conic sections.
-
D.
De triangulis omnimodis
De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
-
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 (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_69f6b8d788b88190b161a41f85594fb8 |
completed | May 3, 2026, 2:54 a.m. |
| NEDg | Description generation | batch_69f6b9a1ca54819085da2ca592bf5219 |
completed | May 3, 2026, 2:57 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69f6bb03d8d88190930edd0f49fec8aa |
completed | May 3, 2026, 3:03 a.m. |
Created at: April 9, 2026, 5:42 p.m.