Difference between Euclidean and Spherical Geometry


Difference between Euclidean and Spherical Geometry


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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Difference between Spherical Geometry vs Euclidean

Euclidean vs Spherical Geometry

Differences between Spherical Geometry vs Euclidean

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