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The paper deals with applications of methods of spherical geometry in naval navigation. It summarises the essential knowledge of spherical geometry and presents some exercises and their solutions. These exercises can be applied in explanations of the basic principles of naval navigation.

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This paper deals with the properties of a special differential operator with respect to the general decomposition of tensor fields on manifolds with affine connection. It is shown that properties of a special differential operator are transferred to the components of a given decomposition.