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'''Florimond de Beaune''' (7 October 1601, [[Blois]] – 18 August 1652, Blois) was a [[France|French]] jurist<ref name="taton"/> and [[mathematician]], and an early follower of [[René Descartes]].<ref name="ss">{{citation|first=Florian|last=Cajori|title=A history of the arithmetical methods of approximation to the roots of numerical equations of one unknown quantity|pages=171–289|journal=Science Series|publisher=Colorado College Publication|volume=12|year=1907|url=http://www27.us.archive.org/details/scienceseries00collgoog}}. The material on de Beaune is on [http://books.google.com/books?id=eb8AAAAAYAAJ&pg=PA187 p. 187].</ref> R. Taton calls him "a typical example of the erudite amateurs" active in 17th-century science.<ref name="taton"/>

In a 1638 letter to Descartes, de Beaune posed the problem of solving the [[differential equation]]
:<math>\frac{\operatorname{d}y}{\operatorname{d}x}=\frac{\alpha}{y-x}</math>
now seen as the first example of the inverse tangent method of deducing properties of a curve from its [[tangent]]s.<ref>{{citation|title=Die Streitschriften|first=Herman Heine|last=Goldstine|publisher=Springer|year=1991|isbn=9783764323486|page=20|url=http://books.google.com/books?id=e9bPtrEfYbIC&pg=PA20}}.</ref><ref>{{citation|title=A History of Elementary Mathematics|first=Florian|last=Cajori|publisher=Macmillan|year=1898|page=189|url=http://books.google.com/books?id=UicJAAAAIAAJ&pg=PA189}}.</ref>

His ''Tractatus de limitibus aequationum'' was reprinted in England in 1807;<ref>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, [http://books.google.com/books?id=65YiAQAAMAAJ&pg=PA217 p. 217ff].</ref> in it, he finds [[upper and lower bounds]] for the solutions to [[quadratic equation]]s and [[cubic equation]]s, as simple functions of the coefficients of these equations.<ref name="ss"/> His ''Doctrine de l'angle solide'' and ''Inventaire de sa bibliothèque'' were also reprinted, in Paris in 1975.<ref name="taton">{{citation|title=Review of Doctrine de l'angle solide|first=R.|last=Taton|language=French|journal=Revue d'histoire des sciences|year=1977|volume=30|issue=1|pages=82–84|url=http://www.persee.fr/web/revues/home/prescript/article/rhs_0151-4105_1977_num_30_1_1465}}.</ref> Another of his writings was ''Notae breves'', the introduction to a 1649 edition of Descartes' ''[[La Géométrie]]''.<ref>{{citation|title=Descartes's Mathematical Thought|volume=237|series=Boston Studies in the Philosophy of Science|first=C.|last=Sasaki|publisher=Springer|year=2003|isbn=9781402017469|page=235|url=http://books.google.com/books?id=UPGVFEDVc0wC&pg=PA235}}.</ref>

==References==
{{reflist}}

==Further reading==
{{DSB
|first=Pierre
|last=Costabel
|title=Debeaune
|volume=3
|pages=614-616
}}

{{Authority control|VIAF=66463468}}

{{Persondata 
| NAME = Beaune, Florimund de
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = French mathematician and jurist
| DATE OF BIRTH = 7 October 1601
| PLACE OF BIRTH =
| DATE OF DEATH = 18 August 1652
| PLACE OF DEATH =
}}
{{DEFAULTSORT:Beaune, Florimund de}}
[[Category:1601 births]]
[[Category:1652 deaths]]
[[Category:French jurists]]
[[Category:17th-century French mathematicians]]
[[Category:17th-century French people]]
[[Category:People from Blois]]

{{france-mathematician-stub}}

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en>Mild Bill Hiccup: grammar