Affine geometry

GPTKB entity

Statements (65)
Predicate Object
gptkbp:instanceOf gptkb:geometry
gptkbp:compatibleWith Angle
Distance
gptkbp:developedBy gptkb:Euclidean_geometry
gptkbp:field gptkb:Mathematics
gptkbp:generalizes gptkb:Euclidean_geometry
gptkbp:hasApplication gptkb:Computer_graphics
gptkb:Physics
gptkb:robot
Engineering
gptkbp:hasSubgroup gptkb:Projective_geometry
https://www.w3.org/2000/01/rdf-schema#label Affine geometry
gptkbp:relatedTo gptkb:Euclidean_geometry
gptkb:Projective_geometry
gptkbp:studies gptkb:Convex_sets
gptkb:Affine_plane
gptkb:Affine_variety
gptkb:Affine_hull
Translations
Shears
Barycentric coordinates
Parallel lines
Affine line
Affine scheme
Affine algebraic variety
Affine automorphism
Affine basis
Affine bundle
Affine chart
Affine combinations
Affine connection
Affine coordinates
Affine coordinates system
Affine dimension
Affine equivalence
Affine frame
Affine group
Affine hyperplane
Affine independence
Affine invariants
Affine isomorphism
Affine manifold
Affine mapping
Affine maps
Affine morphism
Affine open subset
Affine reflection
Affine space over a field
Affine spaces
Affine structure
Affine structure on a manifold
Affine subspaces
Affine symmetry
Affine transformation group
Affine transformation matrix
Dilations
Homotheties
Properties invariant under affine transformations
gptkbp:uses Parallelism
Affine transformations
Collinearity
Ratios of lengths on parallel lines
gptkbp:bfsParent gptkb:Affine_plane
gptkb:Affine_space
gptkbp:bfsLayer 7