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Euclidean geometry is the traditional geometry: it is the geometry of a plane surface, as developed by Euclid. Among other things, it is based on Euclid's parallel postulate which said (in effect) that given a line and a point outside that line there could only be one line through that point that was parallel to the given line. It has since been discovered that both alternatives to that postulate - that there are many such lines possible and that there are none - give rise to consistent geometries. These are non-Euclidean geometries.
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What is a characteristic of Euclidean geometry?
One main characteristic of non-Euclidean geometry is hyperbolic geometry. The other is elliptic geometry. Non-Euclidean geometry is still closely related to Euclidean geometry.
What is equiform geometry?
The geometry of similarity in the Euclidean plane or Euclidean space.
Both Euclidean and non-Euclidean geometry have been accepted as valid types of geometry?
true
What are the names of Non Euclidean Geometries?
There are two non-Euclidean geometries: hyperbolic geometry and ellptic geometry.
Give a brief history of euclidean geometry?
Euclid developed Euclidean geometry around 300 BC. I cannot get much briefer than that.
