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What is the major premise that separates Euclidean geometry from other non-Euclidean geometries?
Wiki User
∙ 9y ago
It is Euclid's fifth postulate which is better known as the parallel postulate. It appears in very many equivalent forms but basically it states that:
given a line and a point that is not on that line, there is at most one line which passes through that point and which is parallel to the original line.
Wiki User
∙ 9y ago
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What are the names of Non Euclidean Geometries?
There are two non-Euclidean geometries: hyperbolic geometry and ellptic geometry.
Is spherical geometry a form of euclidean?
No, both spherical and hyperbolic geometries are noneuclidian.
In the nineteenth century Euclidean geometry was disproved by spherical geometry which was in turn disproved by hyperbolic geometry.g?
No. Spherical geometry did not disprove Euclidean geometry but demonstrated that more than one geometries were possible. Different circumstances required different geometries. Similarly hyperbolic geometry did not disprove either of the others.
What is a analytic geometries connection with euclidean geometry?
All Euclid geometry can be translated to Analytic Geom. And of course, the opposite too. In fact, any geometry can be translated to Analytic Geom.
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.
What are the names of Non Euclidean Geometries?
There are two non-Euclidean geometries: hyperbolic geometry and ellptic geometry.
What are two types of Non-Euclidean Geometries?
The 2 types of non-Euclidean geometries are hyperbolic geometry and ellptic geometry.
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.
Is spherical geometry a form of euclidean?
No, both spherical and hyperbolic geometries are noneuclidian.
In the nineteenth century Euclidean geometry was disproved by spherical geometry which was in turn disproved by hyperbolic geometry.g?
No. Spherical geometry did not disprove Euclidean geometry but demonstrated that more than one geometries were possible. Different circumstances required different geometries. Similarly hyperbolic geometry did not disprove either of the others.
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.
Can a triangle can have two parellel sides?
A Plane triangle cannot have parallel sides. A triangle on a sphere, represented in Mercator projection may do so, but that still does not make it so, for that is in spherical geometry. And there are other geometries than Euclidean (plane). Hyperbolic Geometry and Elliptic Geometry are the names of another two. These geometries are consistent within themselves, but some of the theorems in Euclidean geometry have different answers in these alternate geometries.
Can two line segments be both intersecting and parallel?
Not in Euclidean geometry, but in other geometries such lines are possible.
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
What is a analytic geometries connection with euclidean geometry?
All Euclid geometry can be translated to Analytic Geom. And of course, the opposite too. In fact, any geometry can be translated to Analytic Geom.
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 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.
