I've been reading a few proofs showing that a great circle is geodesic. Most of these proofs start with a parametrization and then show that it satisfies the differential equations of geodesics. The book that I have doesn't even give a proof. It just tells me that the great circles on the sphere are geodesic. Is there a way to find a particular curve on the sphere and then show that curve is geodesic?(adsbygoogle = window.adsbygoogle || []).push({});

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# A great circle is geodesic

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