| 31. | The four-acceleration of a particle executing geodesic motion is zero.
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| 32. | This motivates the definition of geodesic normal coordinates on a Riemannian manifold.
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| 33. | Morse originally applied his theory to geodesics ( periodicity theorem.
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| 34. | In non-Euclidean geometry, straight lines are replaced by geodesics.
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| 35. | Thus, the general unit-speed geodesic is given by
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| 36. | The maps use the Cape datum as the geodesic reference.
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| 37. | The integral manifolds of these distributions are totally geodesic submanifolds.
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| 38. | An object that moves against a geodesic experiences a force.
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| 39. | Two geodesics belonging to the same plane can either be:
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| 40. | The properties of geodesics differ from those of straight lines.
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