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

Girard Desargues Born: 21 Feb 1591 in Lyon, France Died: Sept 1661 in Lyon, France Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index 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

DESARGUES Girard 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

Girard Desargues 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

La bibliothèque du dix-septiémiste Version 2002 PREMIÈRE PARTIE : TEXTES ET ÉDITIONS I. Auteurs français (D-L) Barème : ** Vaut le détour. *** Vaut le voyage. **** 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

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. Arnauld Antoine 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. Arnauld Angélique 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

Super-Index of Biographies of Mathematicians abel niels henrik abraham bar hiyya ha-nasi abraham max abu kamil shuja ibn aslam ibn muhammad ... zygmund antoni This index was automatically generated using a new tagging program written by Simon Plouffe at LaCIM

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

Der Satz von Desargues: Girard Desargues (1591-1661) PostScript-Version zum Ausdruck affine Form: 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): Liegen zwei Dreiecke ABC und A'B'C' zentral, so liegen sie auch axial Die Schnittpunkte AB A'B' BC B'C' und CA C'A' liegen auf einer Geraden: der Achse [zum Beweis Die Dreiecke liegen in parallelen Ebenen, die Achse ist Fluchtgerade dieser Ebenen. Möchten Sie eine ausführliche Version dieses Beweises Please enable Java for an interactive construction (with Cinderella). Umkehrung: Liegen zwei Dreiecke axial, so liegen sie auch zentral, oder die Verbindungsgeraden entsprechender Ecken sind parallel. erstellt von M. Stroppel

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

Der Satz von Desargues: Girard Desargues (1591-1661) affine Form: 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): Liegen zwei Dreiecke ABC und A'B'C' zentral, so liegen sie auch axial Die Schnittpunkte AB A'B' BC B'C' und CA C'A' liegen auf einer Geraden: der Achse [zum Beweis Die Dreiecke liegen in parallelen Ebenen, die Achse ist Fluchtgerade dieser Ebenen.] Please enable Java for an interactive construction (with Cinderella). Umkehrung: Liegen zwei Dreiecke axial, so liegen sie auch zentral, oder die Verbindungsgeraden entsprechender Ecken sind parallel. erstellt von M. Stroppel mit Cinderella

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/

Pour atteindre le site de l'Institut Girard Desarguesi cliquez ICI

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

Girard Desargues Born: 21 Feb 1591 in Lyon, France Died: Sept 1661 in Lyon, France Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index 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

Informations Pratiques recherche Recherche Auteur(s) : Titre : Editeur : IREM de Lyon Notes : Cette brochure est l'objet d'une recension dans le Bulletin de l'APMEP n° 405. conique gnomon "histoire de la perspective" "perspective des peintres" ... Recherche

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

Girard Desargues né à Lyon le 2 mars 1591, 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

References for Girard Desargues Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: J V Field, The Invention of Infinity: Mathematics and Art in the Renaissance (Oxford 1997). J V Field and J J Gray, The geometrical work of Girard Desargues (New York-Berlin, 1987). R Taton, (Paris, 1951). R Taton, (Paris, 1951). Articles: 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/

Desargues, Girard ²¨F®æ ·j´M 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¡^ ¹ï¥~·j´MöÁä¦r¡G ¡D Desargues ¡D ®g¼v´X¦ó ¡D Apollonius ¡D ²¥d¨à ¡D ¶O°¨ ¡]¼¶½Z¡GªLÁo·½¢A²M¤j¼Æ¾Ç¨t¡^ MacTutor ¡]­Y¦³«ü¥¿¡Bº°Ý¡K¡K¡A¥i¥H¦b¦¹ ¯d¨¥ ¼g«H µ¹§Ú­Ì¡C¡^ ¦Uºô­¶¤å³¹¤º®e¤§µÛ§@Åv¬°­ìµÛ§@¤H©Ò¦³ ½s¿è¡G±d©ú°a

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

Girard Desargues lived from 1591 to 1661 Desargues was a founder of projective geometry. His work centred on the theory of conic sections and perspective. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/ Mathematicians/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

Branch of Science Mathematicians Nationality French ... Barile Desargues, Girard (1593-1662) 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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