Question

In Euclidean geometry, a line continues in opposite directions forever. As a result, the line will have an infinite length. How does this differ from a line in spherical geometry?​

Answer 1

In Spherical Geometry, you can imagine a line as the sphere's great circle.

Spherical geometry uses spheres to represent points and large circles, whereas Euclidean geometry uses a plane. Angles between large circles are described in spherical geometry. The angle between the tangent lines is how we define the angle between two curves. Radians will be used to measure all angles.

A line in Euclidean geometry is undefinable. A line is a straight path with no thickness that travels in two opposing directions without coming to an end. A line has an endless number of points.

You can imagine a line in spherical geometry as the sphere's great circle.

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