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There are two non-Euclidean geometries: hyperbolic geometry and ellptic geometry.
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Is it true that in non Euclidean geometry states that the 3 angles of any triangle is 180 degrees?
In some non-Euclidean geometries the 3 angles of a triange will add up to less than 180 degrees. In other non-Euclidean geometries they will add up to more than 180 degrees.
What is the name of 3 types of non-Euclidean geometries?
Hyperbolic, elliptic, projective are three possible answers.
Can two given lines with no point in common exist in the same plane?
Yes. (The answer may be complicated somewhat in non-Euclidean geometries, but it's possible in Euclidean geometry if the lines are parallel).
What is the theory of relativity of pi?
Pi is only constant in Euclidean Geometry, it is not the same in other Geometries. In the non-Euclidean geometry that Relativity theory uses the difference between PiE and PiNE is extremely small, approaching zero.
Is spherical geometry a form of euclidean?
No, both spherical and hyperbolic geometries are noneuclidian.
What are three names of Non-Euclidean geometries?
fishsticks
What are the names of Non-Euclidean Geometries?
Answer The two commonly mentioned non-Euclidean geometries are hyperbolic geometry and elliptic geometry. If one takes "non-Euclidean geometry" to mean a geometry satisfying all of Euclid's postulates but the parallel postulate, these are the two possible geometries.
What are the names of two types of non-Euclidean geometries?
There are several: hyperbolic, elliptic and projective are three geometries.
What are two types of Non-Euclidean Geometries?
The 2 types of non-Euclidean geometries are hyperbolic geometry and ellptic geometry.
Will parallel lines intersect?
In Euclidean space, never. But they can in non-Euclidean geometries.
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.
Is it true that in non Euclidean geometry states that the 3 angles of any triangle is 180 degrees?
In some non-Euclidean geometries the 3 angles of a triange will add up to less than 180 degrees. In other non-Euclidean geometries they will add up to more than 180 degrees.
What is the name of 3 types of non-Euclidean geometries?
Hyperbolic, elliptic, projective are three possible answers.
What has the author Marvin J Greenberg written?
Marvin J. Greenberg has written: 'Euclidean and non-Euclidean geometries' -- subject(s): Geometry, Geometry, Non-Euclidean, History 'Lectures on algebraic topology' -- subject(s): Algebraic topology
Why hilbert axiom of parallelism assert the existence of only at most one parallel line'?
There is a subtle distinction between Euclidean, Hilbert and Non-Euclidean planes. Euclidean planes are those that satisfy the 5 axioms, while Non-Euclidean planes do not satisfy the fifth postulate. This means that in Non-Euclidean planes, given a line and a point not on that line, then there are two (or more) lines that contain that point and are parallel to the original line. There are geometries where there must be exactly one line through that point and parallel to the original line and then there are also geometries where no such line contains that point and is parallel to the original line.Basically, the fifth postulate can be satisfied by multiple geometries.
Can two given lines with no point in common exist in the same plane?
Yes. (The answer may be complicated somewhat in non-Euclidean geometries, but it's possible in Euclidean geometry if the lines are parallel).
Is it true that the longest side of a triangle is opposite the largest angle?
In Euclidean planar geometry, yes. I suspect it's true of many non-Euclidean geometries as well, but I'm less positive about that.
