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Earn +20 ptsQ: What are the names of Non Euclidean Geometries?
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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.
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