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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