- Abstract Algebra (3)
- Representation Theory (1)
- Ring Theory
- Algebra (51)
- Algebraic Geometry (2)
- Analytic Geometry (1)
- Applied Mathematics (202)
- Arithmetic (6)
- Calculus (112)
- Differential Calculus (69)
- Differential Equations (41)
- Integral Calculus (64)
- Limits (19)
- Multivariable Calculus (131)
- Precalculus (3)
- Tensor Calculus (1)
- Vector Calculus (1)
- Chaos Theory (1)
- Combinatorics (1)
- Polynomial Method (1)
- Complex Analysis (4)
- Complex Numbers
- Differential Geometry (3)
- Functional Analysis (2)
- Geometry (5)
- Fractals
- Non-Euclidean Geometry (2)
- Group Theory
- Lie Groups (2)
- History of Math (59)
- Linear Algebra (6)
- Mathematical Logic
- Set Theory (1)
- Mathematical Modeling
- Mathematics Education (11)
- Number Theory (1)
- Elliptic Curves (1)
- Quaternions
- Numerical Analysis (2)
- Partial Differential Equations (5)
- Probability (41)
- Queueing Theory
- Stochastic Process (2)
- Real Analysis (5)
- Recreational Mathematics
- Math Games
- Math Puzzles
- SAT Math (52)
- Statistics (49)
- Linear Models
- Stochastic Calculus
- Topology (5)
- K-theory (1)
- Point-Set Topology
- Trigonometry (18)

# Topics: Geometry - Non-Euclidean Geometry

### Non-Euclidean Geometry

Non-Euclidean geometry consists of two geometries based on axioms closely related to those specifying Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises when either the metric requirement is relaxed, or the parallel postulate is replaced with an alternative one. In the latter case one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries. When the metric requirement is relaxed, then there are affine planes associated with the planar algebras which give rise to kinematic geometries that have also been called non-Euclidean geometry.Behavior of lines with a common perpendicular in each of the three types of geometry

added 6 years ago
Start Course

added 6 years ago
Start Course

Showing 2 of 2 courses. See All