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Non-Euclidean geometry is most practical when used for calculations in three dimensions, as opposed to only two. For example, planning the fastest route for an airplane or a ship to travel across the world requires non-Euclidean geometry, because the Earth is a sphere.
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What are the similarities between euclidean and non euclidean?
nothing
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 are the names of Non Euclidean Geometries?
There are two non-Euclidean geometries: hyperbolic geometry and ellptic geometry.
Can line segments have two midpoints?
not in euclidean geometry (I don't know about non-euclidean).
Both Euclidean and non-Euclidean geometry have been accepted as valid types of geometry?
true
What does non-euclidean geometry apply to in real life?
It is used to prove some of the statements used in Einstein's The general Theory of relativity
What are the similarities between euclidean and non euclidean?
nothing
What is a characteristic of non-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 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 are the names of Non Euclidean Geometries?
There are two non-Euclidean geometries: hyperbolic geometry and ellptic geometry.
What is the difference between Euclidean Geometry and non-Euclidean Geometry?
In Euclidean geometry parallel lines are always the same distance apart. In non-Euclidean geometry parallel lines are not what we think of a parallel. They curve away from or toward each other. Said another way, in Euclidean geometry parallel lines can never cross. In non-Euclidean geometry they can.
Will parallel lines intersect?
In Euclidean space, never. But they can in non-Euclidean geometries.
What are two types of Non-Euclidean Geometries?
The 2 types of non-Euclidean geometries are hyperbolic geometry and ellptic geometry.
What are the similarities in non euclidean and euclidean geometry?
both the geometry are not related to the modern geometry
Can line segments have two midpoints?
not in euclidean geometry (I don't know about non-euclidean).
Is it true that the sum of three angles of any triangle is 180 in non euclidean geometry?
No. Non-Euclidean geometries usually start with the axiom that Euclid's parallel postulate is not true. This postulate can be shown to be equivalent to the statement that the internal angles of a traingle sum to 180 degrees. Thus, non-Euclidean geometries are based on the proposition that is equivalent to saying that the angles do not add up to 180 degrees.
Euclidean and Non-Euclidean geometry strictly adhere to all five postulates from Euclid's Elements?
False
