## Plane geometry

In mathematics , **plane geometry** may refer to: Euclidean **plane geometry** , the **geometry** of **plane** figures, **geometry** of a **plane** , or sometimes: **geometry** of a projective **plane** , most commonly the real projective **plane** but possibly the complex projective **plane** , Fano **plane**

**wikipedia.org**| 2011/2/17 23:03:03

## Affine plane (incidence geometry)

In incidence **geometry** , an affine **plane** is a system of points and lines that satisfy the following axioms ( Cameron 1991 , chapter 2): Any two distinct points lie on a unique line. Given a point and line there is a unique line which contains the point and is parallel to the line There

**wikipedia.org**| 2011/2/6 3:15:09

## Contact (mathematics)

forms are particular differential forms of degree 1 on odd-dimensional manifolds; see contact **geometry** . Contact transformations are related changes of co-ordinates, of importance in classical mechanics . See also Legendre transformation . Contact between manifolds is often studied in

**wikipedia.org**| 2011/3/3 1:39:42

## Reflection (mathematics)

isometry with a hyperplane as set of fixed points ; this set is called the axis (in dimension 2) or **plane** (in dimension 3) of reflection. The image of a figure by a reflection is its mirror image in the axis or **plane** of reflection. For example the mirror image of the small Latin letter

**wikipedia.org**| 2011/4/18 18:43:19

## Analytic geometry

In classical mathematics, analytic **geometry** , also known as coordinate **geometry** , or Cartesian **geometry** , is the study of **geometry** using a coordinate system and the principles of algebra and analysis . This contrasts with the synthetic approach of Euclidean **geometry** , which treats

**wikipedia.org**| 2011/10/1 14:31:54

## Projective geometry

In mathematics , projective **geometry** is the study of geometric properties that are invariant under projective transformations . This means that, compared to elementary **geometry** , projective **geometry** has a different setting, projective space , and a selective set of basic geometric concepts

**wikipedia.org**| 2011/5/16 22:53:49