Affine geometry

relation used in geometry

theorem

theorem in planar Euclidean geometry

Euclidean geometry without distance and angles

automorphism of an affine space

thumb|right|Centroid of a triangle

thumb|Two intersecting planes: Two-dimensional planes are the hyperplanes in three-dimensional space.

282px|thumb|The midpoint of the segment (1, 1) to (2, 2)

geometric structure that generalizes the Euclidean space

coordinate system in which the location of a point of a simplex is specified as the center of mass, or barycenter, of usually unequal masses placed at its vertices

theorem that the three long diagonals of a hexagon that is tangent to a conic section meet in a single point

linear combination whose coefficients sum to 1

coordinate system based on a triangle

geometrical theorem of triangles

commutative associative binary operation on subsets of an Abelian group (such as Euclidean space)

fractal which resembles a plant

an ellipse defined from a triangle, tangent to its sides at their midpoints

smallest affine subspace that contains a subset

line segment of infinitesimally small length

theorem in descriptive geometry

Group of all affine transformations of an affine space

affine subspace of an Euclidean space

circumellipse of a triangle whose center is the triangle's centroid

Improvement on interval arithmetic

Geometric construction of a smaller triangle

Perpendicular diameters of a conic section

thumb|A 6-equidissection of a square