What is non-euclidian geometry?

Question

For a project i need to name two non euclidian geometries and have no clue please help thanks.

Answer 1

Look up "Hyperbolic Geometry" and "Elliptical Geometry."

Answer 2

Euclid a 3rd century Greek developed, (invented,) Plane Geometry with certain definitions and theorems developed by deductive reasoning.
Any study of points, lines and objects on not according to his definitions and restriction would be non-euclidean.
We commonly study objects in space. Objects on a sphere for navigation would both be useful but non-euclidean.
Coordinate geometry, follows many of the same rules but is studied from a different perspective and as such would be non-euclidean. You could even develop your own system. Often the concept of parallel lines is rejected so that all line will intersect. That would result in interesting theorems and would be non euclidean.
You could develop your own system which would by definition be non euclidian.
Hope this helps

Answer 3

Strictly conversing, the floor of the Earth is an occasion of a no-Euclidian geometry. as an example, triangles drawn on the floor of a sphere continually have angles that sum to bigger then one hundred eighty: in a Euclidean geometry the sum is often one hundred eighty.

Answer 4

http://en.wikipedia.org/wiki/Non-Euclidean_geometry

"think of elliptic geometry as lines on a sphere"
"straight lines" are the shortest path between two points there are more shortest paths here but not in euclidean geomtry.

Answer 5

non-euclidean geometry is any geometry that is contrasted with euclid's geometry, such as hyperbolic and elliptic geometry

Answer 6

does not honor the fifth postulate