“Florimond de Beaune”的意思、由来-开放百科全书

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.^[2]^[3]

His Tractatus de limitibus aequationum was reprinted in England in 1807;^[4] 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.^[1] His Doctrine de l'angle solide and Inventaire de sa bibliothèque were also reprinted, in Paris in 1975.^[5] Another of his writings was Notae breves, the introduction to a 1649 edition of Descartes' La Géométrie.^[6]

References

1. ^¹{{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 [https://books.google.com/books?id=eb8AAAAAYAAJ&pg=PA187 p. 187].
2. ^{{citation|title=Die Streitschriften|first=Herman Heine|last=Goldstine|publisher=Springer|year=1991|isbn=9783764323486|page=20|url=https://books.google.com/books?id=e9bPtrEfYbIC&pg=PA20}}.
3. ^{{citation|title=A History of Elementary Mathematics|first=Florian|last=Cajori|publisher=Macmillan|year=1898|page=189|url=https://books.google.com/books?id=UicJAAAAIAAJ&pg=PA189}}.
4. ^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, [https://books.google.com/books?id=65YiAQAAMAAJ&pg=PA217 p. 217ff].
5. ^¹²{{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}}.
6. ^{{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=https://books.google.com/books?id=UPGVFEDVc0wC&pg=PA235}}.

References

Further reading