Distinguish, differentiate, compare and explain what is the Difference between Euclidean and Spherical geometry. Comparison and Differences.

Difference between Euclidean and Spherical Geometry

S.No. Euclidean geometry Spherical geometry
1 Lines extend indefinitely and have no thickness or width. A line is a great circle that divides the sphere into two equal half­-spheres
2 A line is the shortest path between two points. There is a unique great circle passing through any pair of non­polar points.
3 In fact, a straight line is infinite. A great circle is finite and returns to its original starting point eventually.
4 Given three collinear points, notably, one point is always between the other two. Given three collinear points, each point could be in the middle of the other two.
5 To conclude, perpendicular lines intersect at one point. To conclude, perpendicular lines intersect at two points.
6 Perpendicular lines form four right angles. Perpendicular lines form eight right angles.
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About Author: Jeniffer Fleming