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| '''René-François Walter de Sluse''' ('''Renatius Franciscus Slusius''', also '''Walther de Sluze'''), canon of [[Liège (city)|Liège]] and abbot of [[Amay]] (2 July 1622 – 19 March 1685) was a [[Walloons|Walloon]] [[mathematician]].
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| [[File:René François Walther de Sluze (Slusius).jpg|thumb|René François Walther de Sluze (Slusius).]]
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| ==Biography==
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| He was born in Vise, Belgium and studied at the [[Old University of Leuven|University of Leuven]] (1638–1642) and received a master degree in law from the [[Sapienza University of Rome|University of Rome, La Sapienza]] in 1643. There he also studied several languages, [[mathematics]] and [[astronomy]]. Aside from mathematics he also produced works on astronomy, [[physics]], [[natural history]], general [[history]] and [[theology|theological]] subjects related to his work in the Church.
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| He became a [[Canon (priest)|canon]] of the [[Catholic church]] in 1650, soon after which he became canon of Liège. In 1666 he took a new position as abbot of Amay. While in those positions, he maintained correspondence with [[Blaise Pascal]], [[Christiaan Huygens]], [[John Wallis]], and [[Michelangelo Ricci]]. He was appointed Chancellor of Liege and Counsellor and Chancellor to Prince Maximilian-Henry of Bavaria.
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| He was elected a [[Fellow of the Royal Society]] in 1674.<ref>{{cite web | url = http://www2.royalsociety.org/DServe/dserve.exe?dsqIni=Dserve.ini&dsqApp=Archive&dsqCmd=Show.tcl&dsqDb=Persons&dsqPos=0&dsqSearch=%28Surname%3D%27slusius%27%29| title = Library and Archive catalogue|publisher = Royal Society|accessdate = 2012-03-01}}</ref>
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| He died in Liège.
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| ==Mathematical contributions==
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| He found for the [[subtangent]] of a [[curve]]
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| :''f''(''x'', ''y'') = 0 | |
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| an expression equivalent to
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| :<math>{-y {\partial f \over \partial y} \over {\partial f \over \partial x}}.</math>
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| He also wrote numerous tracts, and in particular discussed at some length [[spiral]]s and points of [[inflexion]]. The [[Conchoid of de Sluze]] is named after him. He is described by John Wallis in his Algebra as "a very accurate and ingenious person." Several of his works were included in the ''[[Transactions of the Royal Society]]'', e.g. his method of drawing tangents to geometrical curves.
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| ==References==
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| {{reflist}}
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| ==External links==
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| *[http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Sluze.html Biography at MacTutor history of math archive].
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| {{Rouse History of Mathematics}}
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| {{use dmy dates|date=January 2011}}
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| {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
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| | NAME = Sluse, Rene-Francois de
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| | ALTERNATIVE NAMES =
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| | SHORT DESCRIPTION = mathematician
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| | DATE OF BIRTH = 7 July 1622
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| | PLACE OF BIRTH =
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| | DATE OF DEATH = 19 March 1685
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| | PLACE OF DEATH =
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| }}
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| {{DEFAULTSORT:Sluse, Rene-Francois de}}
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| [[Category:1622 births]]
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| [[Category:1685 deaths]]
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| [[Category:Belgian scientists]]
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| [[Category:Belgian mathematicians]]
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| [[Category:17th-century mathematicians]]
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| [[Category:Fellows of the Royal Society]]
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| {{Belgium-scientist-stub}}
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| {{europe-mathematician-stub}}
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