Geodesics on an ellipsoid refer to the shortest paths between two points on the surface of an ellipsoidal shape, which is a more accurate representation of the Earth's shape than a perfect sphere. The Earth is often modeled as an oblate spheroid (an ellipsoid that is flattened at the poles and bulging at the equator), and geodesics on this surface are important in various fields, such as geodesy, navigation, and cartography.

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