A Treatise of Spherical Trigonometry
E1013416
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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| A Treatise of Spherical Trigonometry canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T12935546 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
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.
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
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ non-fiction book ⓘ |
| audience |
navigators
ⓘ
students of astronomy ⓘ students of mathematics ⓘ |
| author | Jeremiah Day ⓘ |
| countryOfOrigin |
United States
ⓘ
linked to:
United States of America
|
| covers |
applications to astronomy
ⓘ
applications to navigation ⓘ laws of sines and cosines for spherical triangles ⓘ spherical triangles ⓘ |
| describes | trigonometric relations on the surface of a sphere ⓘ |
| educationalLevel | university ⓘ |
| field |
astronomy
ⓘ
mathematics ⓘ navigation ⓘ |
| focus |
practical methods for spherical calculations
ⓘ
systematic presentation of spherical trigonometry principles ⓘ |
| genre | mathematics textbook ⓘ |
| hasAuthorOccupation |
Jeremiah Day – educator
ⓘ
linked to:
Jeremiah Day
Jeremiah Day – mathematician ⓘ
linked to:
Jeremiah Day
|
| hasComponent |
proofs
ⓘ
theorems ⓘ worked examples ⓘ |
| hasForm | prose exposition ⓘ |
| historicalSignificance | example of 19th-century American mathematical textbook writing ⓘ |
| intendedUse |
astronomical calculations
ⓘ
nautical navigation ⓘ |
| language | English ⓘ |
| mainSubject |
spherical trigonometry
ⓘ
trigonometry ⓘ |
| mathematicalDomain |
geometry
ⓘ
trigonometric analysis ⓘ |
| relatedTo |
astronomical navigation
ⓘ
celestial sphere geometry ⓘ great-circle distance computation ⓘ |
| teaches |
methods for solving spherical triangles
ⓘ
relationships between arcs and angles on a sphere ⓘ |
| timePeriodOfPublication | 19th century ⓘ |
| usedFor |
practical computation in astronomy
ⓘ
practical computation in navigation ⓘ teaching advanced trigonometry ⓘ |
| workOf | Jeremiah Day ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: A Treatise of Spherical Trigonometry Description of subject: 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.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.