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In this article we introduce a generalization of the Newton transformation to the case of a system of endomorphisms. We show that it can be used in the context of extrinsic geometry of foliations and distributions yielding new integral formulas containing generalized extrinsic curvatures.doi:10.4310/ajm.2016.v20.n2.a4 fatcat:qf5cv43jibgxnoi2yjmpqadq2m