Intersection Rules for Non-Extreme p-Branes

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We give a model-independent derivation of general intersecting rules for non-extreme p-branes in arbitrary dimensions D. This is achieved by directly solving bosonic field equations for supergravity coupled to a dilaton and antisymmetric tensor fields with minimal ansätze. We compare the results with those in eleven-dimensional supergravity. Supersymmetry is recovered in the extreme limit if the backgrounds are taken to be independent. Consistency with non-supersymmetric solutions is also discussed. Finally the general formulae for the ADM mass, entropy and Hawking temperature are given.