# What is Non-Euclidean Geometry?

Non Euclidean geometry is geometry that refutes Euclid's fifth postulate: Given a point p and a line l, there is exactly one line through p that is parralel to l.

Other than this difference, non-Euclidean geometry holds to the rest of Euclid's postulates:

- Two points determine a line
- A straight line can be extended with no limitation
- Given a point and a distance a circle can be drawn with the point as center and the distance as radius
- All right angles are equal

To see how this movement got started, please see the History section.
Now, there are two ways that you can refute this.

One way is to say: Given a line l and point p, there are ** no** lines parralel to l through p. This leads to Spherical/Elliptical Geometry.

The other is to say: Given a line l and a point p, there are infinite lines through p parralel to l. This leads to Hyperbolic Geometry

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## Bibliography

Here are some pages I found most useful in creating this webpage: