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The theorem of which the author professes to give, in this paper, the complete demonstration, is the following: No power, beyond the second degree, of any quantity, can exist, capable of being resolved into the sum, or the difference, of two other powers of the same degree:" or, as it may still more generally be expressed, “If the exponents of three powers be multiplied by the same number, provided that number be greater than 2, neither the sum, nor the difference, of any two of the resulting quantities can ever be equal to the third quantity.” It was resolved unanimously,—“That the thanks of this Society be given to their Secretary John George Children, Esq., for the zeal and ability which he has uniformly displayed, and the many valuable services he has rendered, in promoting its objects.”

Démonstration complète du théorème dit de fermat: par François Paulet, de Genève, ancien élève de l’e'cole polytechnique