Abstract
The article reflects the results of the study of geometry, contact and bending strength, as well as failure probability associated with contact and bending endurance of progressive gears, i.e. cylindrical arc teeth gears, achieved within the framework of national scientific schools (USSR and Russia). These gears in the conditions of machine unbraced drive bodies can significantly increase the durability of both contact and bending strength and endurance. Modern lines of study of cylindrical arc gears are shown.
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