# Florimond de Beaune

**Florimond de Beaune** (7 October 1601, Blois – 18 August 1652, Blois) was a French jurist^{[1]} and mathematician, and an early follower of René Descartes.^{[2]} R. Taton calls him "a typical example of the erudite amateurs" active in 17th-century science.^{[1]}

In a 1638 letter to Descartes, de Beaune posed the problem of solving the differential equation

now seen as the first example of the inverse tangent method of deducing properties of a curve from its tangents.^{[3]}^{[4]}

His *Tractatus de limitibus aequationum* was reprinted in England in 1807;^{[5]} in it, he finds upper and lower bounds for the solutions to quadratic equations and cubic equations, as simple functions of the coefficients of these equations.^{[2]} His *Doctrine de l'angle solide* and *Inventaire de sa bibliothèque* were also reprinted, in Paris in 1975.^{[1]} Another of his writings was *Notae breves*, the introduction to a 1649 edition of Descartes' *La Géométrie*.^{[6]}

## References

- 1 2 3 Taton, R. (1977), "Review of Doctrine de l'angle solide",
*Revue d'histoire des sciences*(in French),**30**(1): 82–84. - 1 2 Cajori, Florian (1907), "A history of the arithmetical methods of approximation to the roots of numerical equations of one unknown quantity",
*Science Series*, Colorado College Publication,**12**: 171–289. The material on de Beaune is on p. 187. - ↑ Goldstine, Herman Heine (1991),
*Die Streitschriften*, Springer, p. 20, ISBN 9783764323486. - ↑ Cajori, Florian (1898),
*A History of Elementary Mathematics*, Macmillan, p. 189. - ↑ Reprinted in
*Scriptores Logarithmici: Or, A Collection of Several Curious Tracts on the Nature and Construction of Logarithms, Mentioned in Dr. Hutton's Historical Introduction to His New Edition of Sherwin's Mathematical Tables: Together with Some Tracts on the Binomial Theorem and Other Subjects Connected with the Doctrine of Logarithms, Francis Maseres*, collected by Charles Hutton and printed by J. Davis, 1807, p. 217ff. - ↑ Sasaki, C. (2003),
*Descartes's Mathematical Thought*, Boston Studies in the Philosophy of Science,**237**, Springer, p. 235, ISBN 9781402017469.

## Further reading

Costabel, Pierre (1970–80). "Debeaune". *Dictionary of Scientific Biography*. **3**. New York: Charles Scribner's Sons. pp. 614–616. ISBN 978-0-684-10114-9.