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Are lines of latitude on a globe examples of lines in elliptic geometry? Explain why or why not.

User Bky
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Answer:

No, lines of latitude on a globe are not examples of lines in elliptic geometry. Elliptic geometry is a non-Euclidean geometry in which there are no parallel lines, and the sum of the angles in a triangle is greater than 180 degrees. However, lines of latitude on a globe are examples of lines in spherical geometry, which is a type of elliptic geometry. In spherical geometry, lines of latitude are great circles, which are the largest circles that can be drawn on a sphere and are analogous to the equator on Earth. Unlike lines in Euclidean geometry, great circles on a sphere do not maintain a constant distance from each other and intersect at two points on the sphere.

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User Joec
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