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Desargues Girard:     more detail

The Geometrical Work of Girard Desargues (Sources and Studies in the History of Mathematics and Physical Sciences) Girard Desargues: Bourgeois de Lyon, mathematicien, architecte (French Edition) by Marcel Chaboud, 1996 Girard Desargues and Projective Geometry: An entry from Gale's <i>Science and Its Times</i> by Dean Swinford, 2001 Girard Desargues: An entry from Gale's <i>Science and Its Times</i> by Judson Knight, 2001 MANIERE UNIVERSELLE DE MR. DESARGUES, POUR PRATIQUER LA PERSPECTIVE PAR PETIT-PIED, COMME LE GEOMETRAL. ENSEMBLE LE PLACES ET PROPORTIONS DES FORTES & FOIBLES TOUCHES, TEINTES, OU COULEURS by Abraham (1602-1676); Girard Desargues (1593-1661) Bosse, 1648-01-01 Desargues and his strange theorum by Nathan Altshiller-Court, 1954 INTRODUCTION TO ALGEBRAIC GEOMETRY AND ALGEBRAIC GROUPS by MEINOLF (INSTITUT GIRARD DESARGUES, UNIVERSITE LYON, FRANC GECK, 2004

lists with details

1. Desargues
   Girard Desargues. Born 21 Feb 1591 in Lyon, France Died Sept 1661 inLyon, France. Little is known about Girard Desargues' personal life.  
   http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Desargues.html
   
   Extractions: Little is known about Girard Desargues ' personal life. His family (on both his mother's and his father's side) had been very rich for several generations and had supplied lawyers and judges to the Parlement in Paris as well as to that in Lyon (then the second most important city in France). Desargues seems to have made several extended visits to Paris in connection with a lawsuit for the recovery of a huge debt. Despite this loss, the family still owned several large houses in Lyon, a manor house (and its estate) at the nearby village of Vourles, and a small chateau surrounded by the best vineyards in the vicinity. It is thus clear that Desargues had every opportunity of acquiring a good education, could afford to buy what books he chose, and had leisure to indulge in whatever pursuits he might enjoy. In his later years, these seem to have included designing an elaborate spiral staircase, and an ingenious new form of pump, but the most important of Desargues' interests was Geometry. He invented a new, non-Greek way of doing geometry, now called 'projective' or 'modern' geometry. As a mathematician he was very good indeed: highly original and completely rigorous. He is, however, far from lucid in his mathematical style. When in Paris, Desargues became part of the mathematical circle surrounding Marin

2. Desargues
   Translate this page desargues girard français, 1591-1661 À des fins pratiques, s'appuyantsur les travaux d'Apollonius de Perge, de Pappus d'Alexandrie  
   http://www.sciences-en-ligne.com/momo/chronomath/chrono1/Desargues.html
   
   Extractions: Apollonius de Perge , de Pappus d'Alexandrie et de Ménélaüs , cet architecte et ingénieur militaire (il participa au siège de La Rochelle entrepris par Richelieu en 1627/28 à l'encontre des protestants), étudia les sections coniques et les problèmes de perspective (projection centrale) où une conique (ellipse, parabole, hyperbole) apparaît comme la perspective d'un cercle, définissant ainsi les bases de la projective Descartes , à laquelle il s'opposera cependant en tant que défenseur de la géométrie synthétique (géométrie pure ), plongeront dans l'oubli ses traités aujourd'hui perdus : Méthode universelle pour mettre en perspective les objets sans employer aucun point hors de l'ouvrage (1636) et Carnot Gergonne Monge et Poncelet illustration du traité de Desargues, Encyclopédie Larousse méthodique - 1955 , version élémentaire (géométrie affine) : si deux triangles ABC et A'B'C' (six points distincts) ont leurs côtés homologues respectivement parallèles : (AB)//(A'B'), (BC)//(B'C'), (CA)//(C'A') alors les droites (AA'), (BB') et (CC') sont concourantes ou parallèles. homologiques de Desargues (dans le plan), version projective :

3. Girard Desargues
   Girard Desargues 15911661 Little is known about Girard Desargues'personal life. It is known that his family had been very rich  
   http://www.stetson.edu/~efriedma/periodictable/html/Au.html
   
   Extractions: Little is known about Girard Desargues' personal life. It is known that his family had been very rich for several generations, and had supplied lawyers and judges to the Parlements in Paris and Lyon. It is thus clear that Desargues had every opportunity of acquiring a good education, could afford to buy what books he chose, and had leisure to indulge in whatever pursuits he might enjoy. In his later years, these seem to have included designing an elaborate spiral staircase, and an ingenious new form of pump, but the most important of Desargues' interests was geometry. When in Paris, Desargues became part of the mathematical circle surrounding Mersenne, including Descartes and Pascal. It was probably for this limited readership of friends that Desargues prepared his mathematical works, and had them printed. Desargues wrote on "practical" subjects such as perspective, the cutting of stones for use in building, and sundials. His writings are, however, dense in content and theoretical in their approach to the subjects concerned. There is none of the wordy and elementary step-by-step explanation which one finds in texts that are truly addressed to artisans. Desargues' most important work is the one in which he invented projective geometry. Only one copy is now known to survive. The book is short, but very dense. It begins with pencils of lines and ranges of points on a line, considers involutions of 6 points, gives a rigorous treatment of cases involving "infinite" distances, and then moves on to conics, showing that they can be discussed in terms of properties that are invariant under projection. Desargues' famous "perspective theorem" was first published in 1648 in a work on perspective by Abraham Bosse.

4. La Librairie D'Imothep
   Translate this page desargues girard GIRARD DESARGUES BOURGEOIS DE LYON, MATHEMATICIEN, ARCHITECTEAuteur HENRI HOURS MARCEL CHABOUD RENE TATON Editeur ALEAS Architecte probable  
   http://www.atoca.com/imothep/livres/archi3.html

5. LA BIBLIOTHEQUE DU DIX-SEPTIEMISTE
   Translate this page **desargues girard, Œuvres de Desargues réunies et analysées par Poudra, Paris,1864, 2 vol. L’un des quatre grands mathématiciens du XVII e siècle.  
   http://odalix.univ-bpclermont.fr/Cibp/Bib17/B17-A-I2.htm
   
   Extractions: **** Indispensable. DANCOURT , voir ci-dessous Théâtre du XVII e Siècle . Pour mémoire. DANIEL Gabriel Voyage du monde de Descartes , Paris, 1690, qui n'a jamais été étudié sérieusement. DASSOUCY Charles Les aventures de M. Dassoucy , publiées dans Les libertins du XVII e siècle , I, éd. Jacques Prévot, Pléiade, Gallimard, Paris, 1998. DE BEAUNE Florimond , éd. P. Costabel et B. Barbiche, Vrin, Paris, 1975. Beau traité de géométrie, mais réservé aux amateurs. De Beaune a aussi commenté la Géométrie de Descartes. DESARGUES Girard e siècle. René Taton a publié son Brouillon Projet avec une excellente introduction ( , Vrin, 1981). On attend une édition mise à jour prochainement. Il est vrai que sa lecture demande un petit effort, mais on se sent tellement mieux quand on a compris le théorème de Pappus... DESCARTES René Discours de la Méthode Discours Méditations Le Monde et Géométrie The Geometry of René Descartes with a facsimile of the first edition , Dover, New York, 1954. Mais on aura tout intérêt à lire la

6. LA BIBLIOTHEQUE DU DIX-SEPTIEMISTE
   Translate this page Christine. desargues girard. DHOMBRES TATON René, L’Œuvre mathématiquede Girard Desargues, Vrin, Paris, 1981 (2 e éd.). Contient le  
   http://odalix.univ-bpclermont.fr/Cibp/Bib17/B17bv4.htm
   
   Extractions: La bibliothèque du dix-septiémiste Version 2002 DEUXIÈME PARTIE : OUVRAGES CRITIQUES V. Histoire des idées (suite) Généralités Sciences Philosophie Religion ... Auteurs étrangers 9. Auteurs français. Textes philosophiques par Denis Moreau, Paris, aux Presses Universitaires de France, 2001. Antoine Arnauld (1612-1694) philosophe, écrivain, théologien Chroniques de Port-Royal JACQUES Emile, LAPORTE Jean, La Doctrine de Port-Royal : les Vérités de la Grâce , P.U.F., Paris, 1923, 456 p. Indispensable pour une compréhension profonde de la théologie de Port-Royal. LAPORTE Jean, La Doctrine de Port-Royal : la Morale , 2 vol., Vrin, Paris, 1951-1952. Suite du précédent. MOREAU Denis, Deux cartésiens. La polémique Arnauld-Malebranche , Vrin, Paris, 1999. PARIENTE Jean-Claude (éd.), Antoine Arnauld. Philosophie du langage et de la connaissance , Vrin, Paris, 1995. Recueil difficile, mais riche. JANSEN Paule, , Vrin, Paris, 1973. Outre le volume des Chroniques de Port-Royal de 1992, n° 41, La Mère Angélique Arnauld , cité plus haut, voir : BUGNION-SECRETAN Perle

7. Virtual Encyclopedia Of Mathematics
   baptiste joseph delaunay charles eugene delsarte jean frédéric auguste democritusof abdera denjoy arnaud deparcieux antoine desargues girard descartes rené  
   http://www.lacim.uqam.ca/~plouffe/Simon/supermath.html

8. Satz Von Desargues
   desargues girard Desargues (1591-1661) PostScript-Versionzum Ausdruck. . affine Form Liegen die Dreiecke ABC und  
   http://servix.mathematik.uni-stuttgart.de/~stroppel/Perspektive/desargues.shtml
   
   Extractions: Liegen die Dreiecke ABC und A'B'C' zentral (d.h.: laufen die drei Geraden A'A B'B und C'C durch einen Punkt - das so genannte Zentrum - hier mit Z bezeichnet) und sind die Seiten AB A'B' bzw. AC A'C' jeweils parallel, so sind auch BC und B'C' parallel. Beweis: Das Dreieck A'B'C' entsteht unter diesen Voraussetzungen als Bild von ABC unter der Streckung mit Zentrum Z , die A auf A' abbildet.] Please enable Java for an interactive construction (with Cinderella). Allgemeiner gilt (projektive Form):

9. Satz Von Desargues
   Translate this page Der Satz von desargues girard Desargues (1591-1661). affine FormLiegen die Dreiecke ABC und A'B'C' zentral (dh laufen die drei  
   http://servix.mathematik.uni-stuttgart.de/~stroppel/DarstGeo/desargues.html
   
   Extractions: Liegen die Dreiecke ABC und A'B'C' zentral (d.h.: laufen die drei Geraden A'A B'B und C'C durch einen Punkt - das so genannte Zentrum - hier mit Z bezeichnet) und sind die Seiten AB A'B' bzw. AC A'C' jeweils parallel, so sind auch BC und B'C' parallel. Beweis: Das Dreieck A'B'C' entsteht unter diesen Voraussetzungen als Bild von ABC unter der Streckung mit Zentrum Z , die A auf A' abbildet.] Please enable Java for an interactive construction (with Cinderella). Allgemeiner gilt (projektive Form):

10. IGD : Institut Girard Desargues, Université Lyon 1-CNRS UMR5028
    Th¨mes de recherche th©orie des repr©sentations, analyse, g©om©trie, logique. Universit© Lyon 1, CNRS UMR 5028.  
    http://www.desargues.univ-lyon1.fr/

11. Desargues
    Founder of projective geometry, his work centred on the theory of conic sections and perspective.  
    http://history.math.csusb.edu/Mathematicians/Desargues.html
    
    Extractions: Little is known about Girard Desargues ' personal life. His family (on both his mother's and his father's side) had been very rich for several generations and had supplied lawyers and judges to the Parlement in Paris as well as to that in Lyon (then the second most important city in France). Desargues seems to have made several extended visits to Paris in connection with a lawsuit for the recovery of a huge debt. Despite this loss, the family still owned several large houses in Lyon, a manor house (and its estate) at the nearby village of Vourles, and a small chateau surrounded by the best vineyards in the vicinity. It is thus clear that Desargues had every opportunity of acquiring a good education, could afford to buy what books he chose, and had leisure to indulge in whatever pursuits he might enjoy. In his later years, these seem to have included designing an elaborate spiral staircase, and an ingenious new form of pump, but the most important of Desargues' interests was Geometry. He invented a new, non-Greek way of doing geometry, now called 'projective' or 'modern' geometry. As a mathematician he was very good indeed: highly original and completely rigorous. He is, however, far from lucid in his mathematical style. When in Paris, Desargues became part of the mathematical circle surrounding Marin

12. Encyclopædia Britannica
    Encyclopædia Britannica. desargues, girard. Encyclopædia Britannica Article  
    http://www.britannica.com/eb/article?eu=30527

13. Institut Girard Desargues
    La vie à l'Institut girard desargues Le barbecue de l'IGD a eu lieu malgré la grêle, le 27 juin 2002. Valentin Ovsienko rejoint l'IGD à compter du 1er janvier 2002 en tant que CR au CNRS.  
    http://www.desargues.univ-lyon1.fr/divers/vie_igd_01_02.html

14. 1996 Girard Desargues, Bourgeois De Lyon, Mathématicien, Architecte.
    et enseignant, a mené de nombreuses recherches sur girard desargues qui l'on conduit à mettre au jour des documents  
    http://publimath.irem.univ-mrs.fr/biblio/ILY97019.htm

15. Desargues
    Translate this page girard desargues né à Lyon le 2 mars 1591, décédé à Lyon en octobre1661. desargues est le fondateur de la géométrie projective.  
    http://www.bib.ulb.ac.be/coursmath/bio/desargue.htm
    
    Extractions: décédé à Lyon en octobre 1661. Desargues est le fondateur de la géométrie projective. Desargues fit des études d'architecte de d'ingénieur; c'est en tant d'ingénieur qu'il fut le conseiller du Cardinal de Richelieu et du gouvernement français. De 1620 à 1650, il vécut à Paris, où il enseigna les mathématiques et fut, pendant un certain temps, associé à Descartes, Pascal , and Marin Mersenne. Desargues aimait la musique et écrivit en 1636 un petit manuel de composition musicale. L'oeuvre mathématique de Desargues est centrée sur la théorie des sections coniques, la perspective, et la géométrie projective. Il publia Traité de la section perspective in 1636. Il tenta de développer une théorie de la perspective et d'appliquer la perspective géométrique à la géométrie projective. L'oeuvre maîtresse de Desargues, Brouillon project d'une atteinte aux événemens des rencontres d'un cône avec un plan (1639) présente des innovations en géométrie projective appliquée à la théorie des sections coniques. Ce ne fut pas très apprécié par ses contemporains à cause du système de termes mathématiques dérivés de noms botaniques et du manque de notations cartésiennes. Il demeura méconnu jusqu'au 19e siècle, bien qu'il influença

16. References For Desargues
    References for girard desargues. Biography JV Field and JJ Gray, Thegeometrical work of girard desargues (New YorkBerlin, 1987). R  
    http://www-gap.dcs.st-and.ac.uk/~history/References/Desargues.html
    
    Extractions: K Andersen, Desargues' method of perspective : its mathematical content, its connection to other perspective methods and its relation to Desargues' ideas on projective geometry, Centaurus N A Court, Desargues and his strange theorem. II, Scripta Math. N A Court, Desargues and his strange theorem, Scripta Math. J V Field, Perspective and the mathematicians : Alberti to Desargues, in Mathematics from manuscript to print, 1300-1600 (New York, 1988), 236-263. J V Field, Linear perspective and the projective geometry of Girard Desargues, Nuncius Ann. Storia Sci. Contributions to the history of mathematics (Modena, 1992), 29-33.

17. Desargues, Girard
    desargues, girard ?.  
    http://episte.math.ntu.edu.tw/people/p_desargues/
    
    Extractions: Desargues¡]1593¡ã1662¡^¥X¥Í»P¦º¤`³£¦bªk°ê¨½©ù¡C¥L¬O¤Q¤C¥@¬ö¦­´Á±q¨Æ²Õ´®g¼v´X¦óªº¼Æ¾Ç®a¡A ¥L¦b¶êÀ@¦±½u¤Wªº¤u§@¬°¥Lűo¤F¦WÁn¡C¥L³Ì¦³¦Wªº©w²z¥s§@¡u¨â­Ó¤T¨¤§Î©w²z¡v¡G ­Y¨â¤T¨¤§Î¡A¤£ºÞ¬O§_¦b¦P¤@¥­­±¤W¡A³sµ²¹ïÀ³³»ÂIªº¤T±ø½u¦@ÂI¡A «h¹ïÀ³ä¡]©Î¨ä©µªø½u¡^ªº¥æÂI¤TÂI¦@½u¡]¦p¤U¹Ï¡^

18. ¼Æ¾Ç»â°ì¡G¤Hª«
    Cayley, Arthur, ?. Dedekind, Julius Wihelm Richard, ?. desargues, girard, ?. Rene du Perron Descartes, ?.  
    http://episte.math.ntu.edu.tw/cgi/mathfield.pl?fld=peo

19. Poster Of Desargues
    girard desargues. lived from 1591 to 1661. desargues was a founder of projective geometry.  
    http://www-groups.dcs.st-and.ac.uk/~history/Posters2/Desargues.html

20. Desargues, Girard (1593-1662) -- From Eric Weisstein's World Of Scientific Biogr
    desargues, girard (15931662), This entry contributed by Margherita Barile.French mathematician, considered as the founder of projective geometry.  
    http://scienceworld.wolfram.com/biography/Desargues.html
    
    Extractions: This entry contributed by Margherita Barile French mathematician, considered as the founder of projective geometry There seems not to be much reliable information on his life and work, most of what we know comes from indirect sources. Desargues used to write down his ideas in form of brief sketches, none of which was intended for publication, and many of which went lost. He made no effort to make them understandable to potential readers: he used "microscopic characters" (Poudra 1864), an exceedingly concise style, and expressed himself in a language of his own. His only extensive work, , has survived through a transcription by Philippe de la Hire , who felt compelled to add a glossary of terms. There we learn that "navel" and "burning point" mean "focus," that "roll" denotes a cylindric or conic solid, whereas two different words, "column" and "horn," are used for the cylindric and the conic surface. The conic sections themselves are referred to as "the border of a roll cut." Other manuscripts were edited by Abraham Bosse, a student of Desargues who was also a sculptor, and profited from his teacher's attention towards the applications of geometry to art and architecture. Desargues wrote treatises on perspective, sundials, on the cutting of stones, on the mechanical applications of epicycloids, and he also designed buildings. He probably contributed to the construction of the dam in La Rochelle, by order of Cardinal Richelieu, with whom he was familiar, as we are told by

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