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Is it true that in the nineteenth century Euclidean geometry was disproved by spherical geometry which was in turn disproved by hyperbolic geometry?
Wiki User
∙ 7y ago
False.
Wiki User
∙ 7y ago
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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 spherical geometry a form of euclidean?
No, both spherical and hyperbolic geometries are noneuclidian.
What is the difference in euclidean and spherical geometry?
i have no idea lol
When do the angles in a triangle not add up to 180 degrees?
If the sum is not 180° you are not in Euclidean space.If the three angles of a triangle add up to more than 180° then you are in a spherical space, if the sum is less than 180° it is a hyperbolic space.The internal angles of a planar (Euclidean) triangle always add up to 180 degrees.
Are the rules of parallel and perpendicular lines different in spherical geometry than in Euclidean geometry?
yes
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 spherical geometry a form of euclidean?
No, both spherical and hyperbolic geometries are noneuclidian.
Triangle with two 60 degree angles?
equilateral triangle (and so, if it is in Euclidean (plane) space, it has 3 angles all of which are 60°) otherwise (in Hyperbolic or Spherical space) it is an isosceles triangle.
What is the difference in euclidean and spherical geometry?
i have no idea lol
When do the angles in a triangle not add up to 180 degrees?
If the sum is not 180° you are not in Euclidean space.If the three angles of a triangle add up to more than 180° then you are in a spherical space, if the sum is less than 180° it is a hyperbolic space.The internal angles of a planar (Euclidean) triangle always add up to 180 degrees.
Does the parallel postulate in Euclidean geometry work in spherical geometry?
No.
What is non euclidean?
Geometry that is not on a plane, like spherical geometry
How many degrees does an equilateral triangle?
180 degrees all triangles have 180 degrees.(the above assumes Euclidean - flat - space. In Hyperbolic space there are less than 180° in all triangles; in Spherical space more than 180° in all triangles)
What is Non euclidean geometry?
Geometry that is not on a plane, like spherical geometry
Riemann's Negation created what famous form of non-Euclidean geometry?
Spherical
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.
Are the rules of parallel and perpendicular lines different in spherical geometry than in Euclidean geometry?
yes
