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

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Differences between Spherical Geometry vs Euclidean