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Fermat’s method of quadrature

Jaume Paradís, Josep Pla, Pelegrí Viader (2008)

Revue d'histoire des mathématiques

The Treatise on Quadratureof Fermat (c. 1659), besides containing the first known proof of the computation of the area under a higher parabola, x + m / n d x , or under a higher hyperbola, x - m / n d x —with the appropriate limits of integration in each case—has a second part which was mostly unnoticed by Fermat’s contemporaries. This second part of theTreatise is obscure and difficult to read. In it Fermat reduced the quadrature of a great number of algebraic curves in implicit form to the quadrature of known curves: the...

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