Transcendental functions and mechanical theorem proving in elementary geometries (Q805606)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Transcendental functions and mechanical theorem proving in elementary geometries |
scientific article; zbMATH DE number 4204311
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transcendental functions and mechanical theorem proving in elementary geometries |
scientific article; zbMATH DE number 4204311 |
Statements
Transcendental functions and mechanical theorem proving in elementary geometries (English)
0 references
1990
0 references
A new approach to prove theorems of Euclidean geometry is presented and then extended to other, non-Euclidean geometries. The approach is based on Wu's method of transforming problems with trigonometric and hyperbolic functions to algebraic polynomial equations. The transformation expressions are presented and their use is illustrated by many appropriate examples. Based on this approach, some non-trivial meta- theorems are established for four non-Euclidean geometries.
0 references
Euclidean geometry
0 references
non-Euclidean geometries
0 references
Wu's method
0 references
