Category:Definitions/Affine Geometry
Jump to navigation
Jump to search
This category contains definitions related to Affine Geometry.
Related results can be found in Category:Affine Geometry.
Affine geometry is the study of the geometry of affine spaces.
Hence it is the study of properties and types of geometric figures which are invariant under an affine transformation.
It provides a modern axiomatic approach to the study of configurations of lines, planes and hypersurfaces.
In particular an affine space can be thought of as a finite dimensional vector space with no distinguished origin, and its affine transformations are those that preserve collinearity.
Subcategories
This category has the following 3 subcategories, out of 3 total.
Pages in category "Definitions/Affine Geometry"
The following 36 pages are in this category, out of 36 total.
A
- Definition:Affine Addition
- Definition:Affine Algebraic Set
- Definition:Affine Coordinate Ring
- Definition:Affine Dimension
- Definition:Affine Frame
- Definition:Affine Frame/Definition 1
- Definition:Affine Frame/Definition 2
- Definition:Affine Geometry
- Definition:Affine Space
- Definition:Affine Space/Associativity Axioms
- Definition:Affine Space/Difference Space
- Definition:Affine Space/Group Action
- Definition:Affine Space/Weyl's Axioms
- Definition:Affine Subspace
- Definition:Affine Subtraction
- Definition:Affine Transformation
- Definition:Affinely Dependent
- Definition:Affinely Dependent/Independent
- Definition:Affinely Independent