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

Adrien-Marie Legendre

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In truth, Messrs Euler and Lagrange, who have not disdained this kind of research, have proved most of these theorems.
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Disdained People Research Theorem Truth
And have even substituted extensive theories for the isolated propositions of Fermat.
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Even Extensive Fermat Isolated Proposition Substituted Theories
But there are several proofs which have resisted their efforts.
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Effort Proof Resisted Several
It is a matter for considerable regret that Fermat, who cultivated the theory of numbers with so much success.
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Considerable Cultivate Effort Fermat Matter Number Regret Success Theory
Are one of the most beautiful monuments ever erected to science.
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Beautiful Erected Monument Most Science
And all means of discovering them are equally admissible.
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Admissible All Discovering Equally Mean
did not leave us with the proofs of the theorems he discovered.
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Discovered Leave Proof Theorem
These … tables (values of trignometric functions), constructed by means of new techniques based principally on the calculus of differences.
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Beautiful Constructed Difference Function Mean New Table Technique Trigonometric Value
All the truths of mathematics are linked to each other.
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Each Linked Mathematics Mean Other Science Truth

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