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I x — ay — b I < — y In what follows, by making use of no principles more advanced than the elementary properties of convergents, I have proved three theorems, the first one being the Tchebychef theorem stated above. The second is Minkowski's theorem on the product of two homogeneous forms, while the third is the Minkowski theorem stated above. I feel that, although Tchebychef's theorem is a special case of Minkowski's theorem, its

A new proof of Minkowski’s theorem on the product of two linear forms