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Are there any straight lines in spherical geometry?
In spherical geometry, there are no parallel lines. In fact, there are no straight lines. Therefore, in spherical geometry, a great circle is comparable to a line. There are no straight lines in spherical geometry.
Which is the basic element of spherical geometry?
The basic element of spherical geometry is the sphere, a three-dimensional surface made up of the set of all points in space at a given distance from a fixed point called the center.
How is spherical geometry different from planar geometry?
Spherical geometry is defined as the study of figures on the surface of a sphere, and it can be viewed as the three-dimensional version of Euclidean or planar geometry. Although closely related, the two ideas of spherical and planar geometry are completely different.
What are the properties of a spherical triangle?
Properties of Spherical Geometry. In a spherical right triangle, let C denote the length of the side opposite the right angle. Let A and B denote the lengths of the other two sides. Let R denote the radius of the sphere. Then, we can use the following formula: cos (C/R) = cos (A/R)*cos (B/R).
Last Update: Oct 2021
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Spherical geometry this is a plane geometry that is connected a sphere's surface; its basic elements are lines and points but ar defined in letter a different way.
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