“In truth, Messrs Euler and Lagrange, who have not disdained this kind of research, have proved most of these theorems.”

And all means of discovering them are equally admissible.

These … tables (values of trignometric functions), constructed by means of new techniques based principally on the calculus of differences.

All the truths of mathematics are linked to each other.

And have even substituted extensive theories for the isolated propositions of Fermat.

It is a matter for considerable regret that Fermat, who cultivated the theory of numbers with so much success.

did not leave us with the proofs of the theorems he discovered.

Are one of the most beautiful monuments ever erected to science.

But there are several proofs which have resisted their efforts.