False.
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.
No, both spherical and hyperbolic geometries are noneuclidian.
i have no idea lol
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.
yes
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.
No, both spherical and hyperbolic geometries are noneuclidian.
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.
i have no idea lol
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.
Geometry that is not on a plane, like spherical geometry
No.
Geometry that is not on a plane, like spherical geometry
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)
Spherical
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.
yes