Geometry Foundations and axiom systems Concept
Ordered geometry
Summary
Ordered geometry is the part of geometry that uses only points, lines and the relation of betweenness, with no notion of distance, angle or parallel. Its axioms are the axioms of incidence and order, including Pasch's axiom. It is common to Euclidean geometry, absolute geometry, hyperbolic geometry and affine geometry over ordered fields. Segments, rays, half-planes, convex sets and the inside of a triangle all belong to it.
Further reading
About this page
| Tag | T7G8X5AD5G |
|---|---|
| URI | m2://T7G8X5AD5G |
| Kind | concept |
| Writing | W0 stub |
| MSC | 51G05 |
| Same as |
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