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While face milled hypoid gears have been widely studied, about face hobbed ones only very few studies have been developed. Aim of this paper is just to propose an accurate tool for computerized design of face hobbed hypoid gears. Firstly, amathematical model able to compute detailed gear tooth surface representationwill be derived; then, the obtained surfaces will be employed as input for an advanced contact solver that, using a hybrid method combining finite element technique with semianalytical solutions, is able to efficiently carry out contact analysis under light and heavy loads and stress calculation of these gears.