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By means of two general operations + and x, called pan-operations'', we build a new kind of integral. This formulation contains, as particular cases, both Choquet's and Sugeno's integrals.
The problem of determination of the motion of a rigid body with a fixed center of gravity and subject to null-work forces, is equivalent to the determination of the motion of a rigid body subject to Newton forces of attraction to the second approximation, and it is therefore resolvable by quadratures.
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