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Topic: Frans van Schooten

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	Frans van Schooten - Wikipedia, the free encyclopedia
		Schooten's father was a professor of mathematics at Leiden, having Christiaan Huygens, Johann van Waveren Hudde, and René de Sluze as students.
		Schooten's 1659 Latin translation of and commentary on Descarte's Géométrie was valuable in that it made the work understandable to the broader mathematical community, and thus was responsible for the spread of analytic geometry to the world.
		Schooten's efforts also made Leiden the centre of the mathematical community for a short period in the middle of the 17th century.
	en.wikipedia.org /wiki/Frans_van_Schooten (272 words)

	Christiaan Huygens (Site not responding. Last check: 2007-10-07)
		Christiaan Huygens was born on 14 April 1629, the second son of the Dutch diplomat and poet Constantijn Huygens and his wife Suzanna van Baerle.
		Van Schooten broadened Huygens’s knowledge of classical mathematics and introduced him to modern authors like Descartes, Viète, and Fermat.
		Huygens contributed to Van Schooten’s Latin edition of Descartes’s La géométrie of 1649 (the extended second edition appeared in 1659—61).
	www.thoemmes.com /404.asp?404;http://www.thoemmes.com/encyclopedia/huygens.htm (5181 words)

	Schooten, Frans van (1615-1660) (Site not responding. Last check: 2007-10-07)
		Frans van Schooten[1] (1615-1660) was the son of Frans van Schooten, a professor at the engineering school in Leiden who was also involved with military engineering projects.
		Little is known about Schooten (the younger) prior to his enrollment in the university in Leiden in 1631.
		Schooten became one of the main people to promote the spread of Cartesian geometry, and trained many students including Jan DeWitt, Christian Huygens, Johann Hudde, and Hendrick van Heuraet.
	kmoddl.library.cornell.edu /biographies/Schooten/index.php (356 words)

	A short history of probability and statistics: 17th century
		Van Schooten is interested and wants to add it to the last part of a book on mathematics he is preparing.
		Van Rekeningh in Spelen van Geluck is a short treatise of about 15 pages, that Huygens probably based on what he heard, during his stay in Paris the previous year, about the correspondence of Pascal and Fermat.
		The original Dutch text of Van Rekeningh in Spelen van Geluck, together with an introductory letter from Huygens is published in Mathematische Oeffeningen, begrepen in vijf boecken (the Dutch translation of the 1657 publication) by Van Schooten.
	www.leidenuniv.nl /fsw/verduin/stathist/sh_17.htm (1004 words)

	Schooten (Site not responding. Last check: 2007-10-07)
		Frans van Schooten should not be confused with his father, Frans van Schooten (the elder), who was professor at the engineering school in Leiden.
		In 1643 van Schooten became assistant to his father and when his father died two years later he was appointed to his father's chair.
		It was on Descartes's recommendation that van Schooten replaced Stampioen as tutor to Huygens and his brother.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Schooten.html (269 words)

	No Title
		Frans van Schooten, (1615-1660), Netherlands, had succeeded his father as professor of mathematics at Leyden.
		Because the original by Descartes was difficult to read, Van Schooten made a careful and clear translation of Descartes' La Geometrie into Latin, the preferred language of scholars.
		Frans van Schooten (the father), professor at the engineering school connected with Leiden.
	www.math.tamu.edu /~don.allen/history/precalc2/precalc2.html (1127 words)

	Frans van Schooten (Site not responding. Last check: 2007-10-07)
		Returning to his own city of Leiden he became a professor of mathematics most important pupil being Christiaan Huygens.
		Very important was his commentary on Géométrie which made the work understandable to broader mathematical community and thus was responsible the spread of analytic geometry to the Schooten's efforts also made Leiden the centre the mathematical community for a short period the middle of the 17th century.
		This is one of the most amazing documentaries on prehistoric life I've ever seen (and I've seen a lot of documentaries on prehistoric life)!Walking With Prehistoric Beasts starts off 50 million years ago, just a few million years after the extincion...
	www.freeglossary.com /Frans_van_Schooten (555 words)

	The Galileo Project
		Frans van Schooten (the elder), professor at the engineering school connected with Leiden.
		Descartes' introduction opened to Schooten the circle of natural philosophers and mathematicians around Mersenne in Paris.
		In some respects Schooten does not seem to have been as keyed in to patronage as most; thus he dedicated his edition of Viète to his teacher Gool.
	galileo.rice.edu /Catalog/NewFiles/schooten.html (372 words)

	Derivatives
		As a result of the translation of Descartes’ Geometry into Latin by Frans van Schooten (1615--1661) and the extensive explanations by van Schooten, Florimonde de Beaune (1601--1652) and Johan Hudde (1628-1704), the principles and benefits of analytic geometry became more widely known.
		In the late 1650s, there was a good deal of correspondence between Huygens, Hudde, van Schooten, Sluse, and others concerning tangents of many algebraic curves; Hudde and Sluse especially sought simpler and standardized algebraic methods that could be applied to a greater variety of curves.
		For Gilles Personne de Roberval (1602--1675), a curve was the path of a moving point, and he derived a mechanical method for finding the tangent to many curves, including the cycloid.
	media.pearsoncmg.com /aw/aw_thomas_calculus_11/topics/derivatives.htm (1687 words)

	Convergence \| Van Schooten's Ruler Constructions
		Frans van Schooten (1615-1660) was one of those mathematicians on whose shoulders the giants stood. Perhaps none of van Schooten’s mathematics was truly original, yet he provided an essential link for at least four great and original mathematicians, François Vieté (1540-1603), René Descartes (1596-1650), Christian Huygens (1629-1695) and Isaac Newton (1643-1727).
		Van Schooten’s first important book was his Collected Works of François Vieté, published in 1646. ; This made Vieté’s algebraic notations and techniques available to a wider audience, and also established van Schooten’s fame in the mathematical community.
		Van Schooten’s commentaries on Descartes continued to be popular well after his death in 1660. ; There was a third edition, virtually identical to the second, published in 1683, and a fourth edition in 1694. The fourth edition included some new commentaries by Bernoulli.
	convergence.mathdl.org /convergence/1?pa=content&sa=viewDocument&nodeId=268 (185 words)

	Frans - www.franserkelens.nl/ (Site not responding. Last check: 2007-10-07)
		Frans Brüggen and Orchestra of the 18th Century
		FRANS BRÜGGEN [Holland] recorder Director of the Orchestra of the 18th Century Once the world’s most famous recorder player, today Frans Brüggen is
		Marie Frans is a Stockholm based photographer's agency representing established talents, scouting young upcoming photographers and giving support in their
	webinfosites.com /q/frans.htm (115 words)

	[No title] (Site not responding. Last check: 2007-10-07)
		Descartes, a friend of Huygens\rquote father, was an occasional visitor to his home, and \'93took a great interest in young Christiaan\rquote s mathematical progress.\'94 Huygens learned math from Frans van Schooten at Leiden in 1645-47, and from John Pell at College of Orange at Breda in 1647-49.
		He was supported by Gerard van Swieten, his father\rquote s friend, since his father\rquote s business had failed and he had died.
		Van Schooten became one of the main promoters of Cartesian geometry.
	www.cs.wisc.edu /~david/Geneaology/Biographies.rtf (12018 words)

	Math words page 11
		It may be of interest to students to know that the use of the unit circle was "unknown much before 1800" according to an article on "Benjamin Banneker's Trigonometry Puzzle " by Florence Fasanelli, Graham Jagger, and Bea Lumpkin that appeared in the MAA online magazine Convergence.
		At the time, decimal fractions were not in wide use, so van Schooten’s tables were in the old style.
		Schooten probably wrote only the text that described how to use these tables, and the tables were probably just a reprint of tables that had already been published before.
	www.pballew.net /arithm11.html (4683 words)

	Newton's Laws (Site not responding. Last check: 2007-10-07)
		The new algebra and analytical geometry of Viete was read by Newton from Frans van Schooten's edition of Viete's collected works published in 1646.
		Other major works of mathematics which he studied around this time was the newly published major work by van Schooten Geometria a Renato Des Cartes which appeared in two volumes in 1659-1661.
		The book contained important appendices by three of van Schooten disciples, Jan de Witt, Johan Hudde, and Hendrick van Heuraet.
	edu-physics.net /newton_6.html (242 words)

	artnet.com: Resource Library: Schooten, Floris van (Site not responding. Last check: 2007-10-07)
		Van Schooten’s breakfast-pieces, with an accumulation of items on a table top, tilted towards the spectator and covered with rugs or white damask cloths, are often inseparable from those of his Haarlem contemporaries Nicholas Gillis (fl 1622–32) and Floris van Dyck.
		Van Schooten’s later work often focuses on fruit, whether a bowl of plums or a basket of grapes, with cherries or berries on small plates arranged in a diagonal across a table top (e.g.
		The artist’s practice of signing his work with a small monogram, often tucked away on a knife blade or dish edge, has contributed to the tendency for his pictures to be attributed to others (e.g.
	www.artnet.com /library/07/0767/T076766.asp (363 words)

	Christiaan Huygens 'under construction':
		Everything you might want to know about both texts, but were afraid to ask: about Van Schootens book of which they formed a small part, about variations in the title, bibliographic information, various editions etc.
		The correspondence of Christiaan Huygens with Van Schooten, Roberval, Mylon, Fermat and others about the De Ratiociniis in Ludo Aleae.
		The text on games of dice, written in Dutch by Christiaan Huygens and translated and published into Latin by Frans van Schooten.
	www.leidenuniv.nl /fsw/verduin/stathist/huygproj.htm (512 words)

	Christiaan Huygens
		He was in relationship with Antony van Leeuwenhoek (1632-1723), who was known as the best microscope builder of his time and who not only grinded his lenses out of glass, but also out of rock crystal and diamond.
		While his mathematical studies Huygens created a complete theory about the game of dice, which was published by his mathematics teacher Frans van Schooten (1615-1660) in 1657 as "De ludo aleae".
		With this Huygens is known as the founder of the theory of probabilistics.
	www.surveyor.in-berlin.de /himmel/Bios/Huygens-e.html (1057 words)

	Earliest Uses of Grouping Symbols (Site not responding. Last check: 2007-10-07)
		This use of a vinculum appears to be the earliest use of a grouping symbol of any kind mentioned by Cajori.
		According to Cajori, the first use of the vinculum above the parts affected was by Frans van Schooten (c.
		Ball (page 242) says the vinculum was introduced by Francois Vieta (1540-1603) in 1591.
	members.aol.com /jeff570/grouping.html (478 words)

	Historia Matematica Mailing List Archive: [HM] Frans van Schooten (Site not responding. Last check: 2007-10-07)
		La Geometrie by Frans van Schooten (1615-60), first published in 1649
		1659-61, van Schooten actually gave the algebraic form of a
		Having the algebraic work, the Greeks, according to van Schooten,
	sunsite.utk.edu /math_archives/.http/hypermail/historia/mar99/0121.html (254 words)

	Scientific Revolution - Westfall Catalogue - SAM-S - Dr Robert A. Hatch
		His Theoramata mathemaica scientiae staticae, (Louvain, 1624), was defended by two of his students, Gualterus van Aebst and Johann Ciermans.
		Looy, Herman van, 'Chronologie et analyse des manuscrits mathématiques de Gregoire de Saint Vincent (1584-1667),' Archivum Historium Societatis Jesu, 49 (1980), 279-303.
		Father: Academic; Engineer; Frans van Schooten (the elder), professor at the engineering school connected with Leiden.
	www.clas.ufl.edu /users/rhatch/pages/03-Sci-Rev/SCI-REV-Home/resource-ref-read/major-minor-ind/westfall-dsb/SAM-S.htm (17281 words)

	Descartes (Site not responding. Last check: 2007-10-07)
		There he began work on Le Monde, ou Traite de la Lumiere and was close to finishing when news reached him that Galileo was condemned to house arrest.
		From his Holland home he continued his contacts with Mersenne, with Beeckman, as well as with Mydorge, Hortensius, Huygens, and Frans van Schooten the Elder.
		Their pursuasions helped him to write and publish a scientific treatise entitled Discours de la method pour bien conduire sa raison et chercher la verite dans les sciences.
	idcs0100.lib.iup.edu /scirev/SciRev_rdescartes.html (879 words)

	Elzevier (Site not responding. Last check: 2007-10-07)
		The majority of their publications consist of scholarly works, many of which were written or edited by prominent Leiden professors such as Daniel Heinsius (who also acted as their adviser), Franco Burgersdijk, Claudius Salmasius, and Frans van Schooten Jr.
		The most famous foreign author on their list is Galileo Galilei, whose Discorsi e dimostrazioni matematiche they published in 1638.
		Otegem, Matthijs van, A Bibliography of the works of Descartes (1637—1704), 2 vols (Utrecht, 2002).
	www.thoemmes.com /dictionaries/dd_elzevier.htm (1274 words)

	Isaac Newton and Astrology - Witness for the Defence or for the Prosecution? (Site not responding. Last check: 2007-10-07)
		During this interview, Newton confided to Conduitt that his interest in science had first been roused in the summer of 1663, when, as a young student at Cambridge, he purchased a book on astrology[12] at the midsummer fair at Stourbridge.
		Baffled by the incomprehensible astrological diagrams and calculations in this work he then studied some books on geometry and calculus (such as by Euclid, Frans van Schooten and René Descartes) and was “soon convinced of the vanity and emptiness of the pretended science of Judicial astrology”.
		Conduitt’s notes are also corroborated by another memorandum that was drawn up shortly after Newton’s death by his friend Abraham de Moivre (1667-1754) and which was also consulted by Conduitt.
	www.skepticreport.com /astrology/newton.htm (1703 words)

	[No title]
		He is remembered not only as the co-founder of probability theory, but also for his work in analytic geometry and number theory.
		Tutor to Huygens, Schooten of Dutch descent published a treatise entitled Francisci a Schooten Exercitationum Mathematicarum Libri quinque, which included Huygen’s De Ratiociniis in Ludo aleae, and commented on combinations and applications of combinations.
		Graunt, an English shopkeeper, in the paper “Natural and Political Observations Made upon the Bills of Mortality” presented the first known application of compiled data in the process of making statistical inferences.
	www.math.utep.edu /Faculty/mleung/probabilityandstatistics/chronologypage1.html (1070 words)

	American University Rare Book Room
		Bound together here with one of the most important philosophical works of Descartes is the first Latin translation of his Geometrie, the second appendix of his Discourse de la Methode (1637).
		This work contains commentary by Florimond de Beaune (1601-1652) and Frans van Schooten (1615-1660).
		It was interesting to compare the bulk of the commentaries in this work with those in the second Latin edition (which we saw later at the Naval Observatory Library).
	www.dean.usma.edu /math/people/rickey/hm/bemidji/rare-au.html (513 words)

	From Euclid to Newton
		Leyden: Jan van Closter and Jacob Marcus, 1615.
		Originally from Germany, Ludolph van Ceulen taught fencing and mathematics in Arnhem, Breda and Delft before moving to Leyden in 1594.
		Here, in 1600, he received a position at the engineering school founded by Prince Maurice of Nassau at Leyden and spent the final ten years of his life there, teaching arithmetic, surveying and fortification.
	www.brown.edu /Facilities/University_Library/exhibits/math/nofr.html (9473 words)

	Van Schooten's Hyperbola
		The mechanical linkage below appears in the work of Frans van Schooten, a Dutch mathematician who lived in the 17th century.
		The rod through points C and A is attached to a board at point C and pivots around this point.
		Do you see the similarity between this construction and the Folded Circle method?
	homepage.mac.com /dscher/vhyp.html (193 words)

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