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

## Difference between Euclidean geometry and Spherical geometry

S.No. |
Euclidean geometry |
Spherical geometry |

1 | Lines extends indefinitely and has no thickness or width. | Line is a great circle that divides the sphere into two equal halfÂ-spheres |

2 | A line is the shortest path between two points. | There is a unique great circle passing through any pair of nonÂpolar points. |

3 | A straight line is infinite. | A great circle is finite and returns to its original starting point. |

4 | Given three collinear points, one point is always between the other two. | Given three collinear points, each point could be in the middle of the other two. |

5 | Perpendicular lines intersect at one point. | Perpendicular lines intersect at two points. |

6 | Perpendicular lines form four right angles. | Perpendicular lines form eight right angles. |

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