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Desargues' Method of Perspective Its Mathematical Content, Its Connection to Other Perspective Methods and Its Relation to Desargues' Ideas on Projective Geometry

1991; Wiley; Volume: 34; Issue: 1 Linguagem: Inglês

10.1111/j.1600-0498.1991.tb00688.x

1600-0498

Kirsti Andersen,

Historical Philosophy and Science

CentaurusVolume 34, Issue 1 p. 44-91 Desargues' Method of Perspective Its Mathematical Content, Its Connection to Other Perspective Methods and Its Relation to Desargues' Ideas on Projective Geometry Kirsti Andersen, Kirsti Andersen *History of Science Department. University of Aarhus. Ny Munkegade, DK-8000 Aarhus C. Denmark. This paper is a revised version of a lecture given at the conference Del'image naturelle àl'image artificielle, Paris May 1989.Search for more papers by this author Kirsti Andersen, Kirsti Andersen *History of Science Department. University of Aarhus. Ny Munkegade, DK-8000 Aarhus C. Denmark. This paper is a revised version of a lecture given at the conference Del'image naturelle àl'image artificielle, Paris May 1989.Search for more papers by this author First published: March 1991 https://doi.org/10.1111/j.1600-0498.1991.tb00688.xCitations: 7AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat References Aguilon, François 1613: Opticorurn libri sex, Antwerpen. Aleaume, Jacques 1643: La perspective speculative et pratique … sans plan geometral & sans tiers poinct, ed. Étienne Migon, Paris. This book has a complicated printing history which is explained on the pages156–157. Aleaume died in 1627 and left a manuscript on perspective. This was bought by the printer Charles Hulpeau who wanted to publish it; he made woodcuts of the figures and typeset at least a part of the manuscript and got a publishing permission for a book called Introduction à la perspective, ensemble l'usage du compas optique et perspective before death stopped him. Hulpeau's edition was never published, but seems nevertheless to have been known. In 1641 Migon decided to finish Hulpeau's work; first, however, he wanted to have copperplates rather than woodcuts and then he changed the figures and parts of the text, so it really became a revised edition - unfortunately without indications of whom is the author of what. Andersen, Kirsti 1987: "The Problem of Scaling and of Choosing Parameters in Perspective Constructions, Particularly in the One by Alberti", Analerta Romana, vol. 16, pp. 107–128. Andersen, Kirsti 1990: "Stevin's Theory of Perspective. The Origin of a Dutch Academic Approach to Perspective", Tractrix, 2, pp. 26–58. Andersen, Kirsti 1991: Brook Taylor's Work on Linear Perspective, New York etc. forthcoming: A Survey of Pre-Nineteenth Hundred Literature on Perspective. Apollonius. Andersen, Kirsti 1963: Les coniqrres d'Apollonius de Perge, ed. Paul Eecke, Paris. Earlier edition. Bkouche, Rudolf 1988: Quelques grandes problématiques de l'historie de la géométrie, IREM de Lille. Bkouche, Rudolf 1990: De la perspective à la géométrie projective, IREM de Lille. Bosboom, Dirk 1703: Perspectiva of doorzicht-kunde, Amsterdam. Later edition Amsterdam 1729. Bosse, Abraham 1643: La pratique du trait à preuvrs de M. Desargues … pour la coupe des pierres …. Paris. Bosse, Abraham 1648: Maniere universelle de M' Desurgues pour pratiquer la perspective par petit-pied, comme le geomertral …, Paris. Reprinted in Desargues 1864. Dutch translation Bosse 1664. According to Taton 1951, p. 57 also a Japanese edition. Bosse, Abraham 1664: Algemeene munier van de H' Desargues, tot de practyk der perspectiven. gelyk tot die der meet-kunde met de kleine voet-maat…, ed. J. Bara, Amsterdam. Blam, André 1924: Abraham Bosse et la société française au dix-septième siècle, Paris. Commandino, Federico 1558: In planisphaerium Ptolemaei commentaries: in quo universa scenographices ratio quam brevissime traditur, ac demonstrationibus confirmatur, Venezia. Court, Nathan Altshiller 1954: "Desargues and his strange theorem", Scripta mathematica, vol. 20, pp. 5–13, 155–164. Curabelle, Jacques 1644: Examen des oeuvres du Sieur Desargues, Lyonnois, Paris. Dechales, Claude François Milliet 1690: Cursus seu mundus mathematicus, ed. Amati Varcin, Lyon. First edition Lyon 1674. Desargues, Girard 1636: Exemple de l'une des manieres universelles du S.G.D.L. touchant la pratique de la perspective sans emploier aucun tiers point, de distance ny d'autre nature qui soit hors du champs de l'ouvrage, Paris. Reprinted in Bosse 1648, pp.321–334, and in Desargues 1864, vol. I. pp.55–84, Facsimile of the first edition together with an English translation in Field and Gray 1987, pp.190–201 and pp.144–160. Desargues, Girard 1639: Brouillon project d'une atteinte aux evenemens des rencontres du cone avec un plan, Paris. Reprinted in Taton 1951, pp. 87–180, and in English translation in Field and Gray 1987. pp. 69–143. Desargues, Girard 1643: Livret de perspective adressé aux théoriciens, lost, but at least parts of it is known from Bosse 1648, pp. 313–320 and corresponding plates, where something has gone wrong in the pagination. The part from Bosse 1648 is reprinted in Desargues 1864, vol. 1, pp. 439–462. Desargues, Girard 1864: Oeuvres de Desargues réunies et analysees …, ed. N. Poudra, 2 vols. Paris. Dieudonné, Jean 1974: Cours de géométrie algébrique, 2 vols. Paris. Dubreuil, Jean 1642 La perspective pratique… par un religieux de la compagnie de Jesus, Paris. Published 1649: anonymously. Second partie de la perspective pratique… appeared Paris 1647, and Troisiesme et derniere partie de la perspective pratique… Paris 1649. Particularly the first part of La perspective pratique, known as the Jesuit's perspective, became very popular, it was reissued Paris 1651, and thereafter often. Two English and one German translations are listed below. Dubreuil, Jean 1642 2: Diverses methodes universelles et nouvelles. en tout ou en partie pour faire des perspectives … Tirées pour la pluspart du contenu drr livre de la Perspective pratique. Ce qui servira de plus de response aux deax affiches du Sieur Desargues contre ladite Perspective pratique, Paris. Dubreuil, Jean 1672: Perspective practical, ed. Robert Pricke, London. Dubreuil, Jean 1710: Perspectiva practica, oder Vollständige Anleitung zu der Perspectiv-Reiβ-Kunst …, ed. Johann Christoph Augsburg Rembold. Reprint Hannover 1977. Dubreuil, Jean 1743: The Practice of Perspective. Or an Easy Method of Representing Natural Objects According to the Rules of Art …, ed. E. Chambers. Field, J. V. 1987: "Linear Perspective and the Projective Geometry of Girard Desargues", Nuncius, vol. 2, fasc. 2, pp. 1–40. Field, J. V. & Gray, Jeremy J. 1987: The Geometrical Work of Girard Desargues, New York etc. Goldstein, Carl 1969: Abraham Bosse, Painting and Theory in the French Academy of Painting and Sculpture,1648–1683, Ph. D. Dissertation. Columbia University. s̀ Gravesande, Willem Jacob 1711: Essai de perspective, Den Haag. Reprinted in 's Gravesande 1774. English translation and free Dutch translation below. s̀ Gravesande, Willem Jacob 1724: An Essay on Perspective …. ed. E. Stone, London. s̀ Gravesande, Willem Jacob 1774: Oeuvres philosophiques et mathématiques de M' G. J. 's Gravesande, vol. I, Amsterdam. s̀ Gravesande, Willem Jacob 1837: Beginselen der doorzigtkunde door G. J. 's Gravesande. Vrij vertaald uit het fransch en met bijvoegselen vermeerderd, ed. H. Blanken, Zwolle. Guidobaldo del Monte 1600: Perspectiva libri sex, Pesaro. Reprinted in Guidobaldo 1984 together with an Italian translation. Guidobaldo del Monte 1984: I sei libri della prospettiva di Guidobaldo, ed. Rocco Sinisgalli, Roma. Hamilton, John 1738: Stereography, or a compleat Body of Perspective, London. Later editions London 1740, 1748, 1749. Heath, Thomas 1921: A History of Greek Mathematics, 2 vols., Oxford. Later reprints. Heinich, Nathalie 1983: "La perspective académique. Peinture et tradition lettrée: La référence aux mathématiques dans les théories de l'art au 17e siècle", Actes de la recherche en sciences sociales, 49 (septembre), pp. 47–70. Hogendijk, Jan P. 1991: " Desargues' Brouillon project and the Conics of Apollonius", Centaurus (34). pp. 1–43. Huret, Grégoire 1670: Optique de portraiture et peinture, Paris. Ivins, William M. 1943: "A note on Girard Desargues", Scripta mathematica, vol. 9, pp. 33–48. Ivins, William M. 1947: "A Note on Desargues' Theorem", Scripta mathematica, vol. 13, pp. 203–210. Jones, Phillip S. 1947: The Development of the Mathematical Theory of Linear Perspective and its Connection with Projective arid Descriptive Geometry with Especial Emphasis on the Contributions of Brook Taylor. Dissertation, University of Michigan. Kemp, Martin 1984: "Geometrical Perspective from Brunelleschi to Desargues: A Pictorial Means or an Intellectual End?", Proceedings of the British Academy, vol. 70. pp. 91–132. Kemp, Martin 1987: " A Chaos of Intelligence: Leonardo's "Traité" and the Perspective Wars in the Académie Royale", It se rendit en Italie. Etudes offertes à André Chastel. ed. P. Rosenberg et al., Paris. Kemp, Martin 1990: The Science of Art, New Haven and London. Kline, Morris 1954: Mathematics in Western Culture, London. Kline, Morris 1967: Mathematics for Liberal Arts. Reading Massachusetts etc. Kline, Morris 1972: Mathematical Thoughts from Ancient to Modern Times, New York, 1972. Lambert, Johann Heinrich 1759: 1 Die freye Perspektive, Zürich. Second edition Zürich 1774. Reprinted in Lambert 1943. Lambert, Johann Heinrich 1759: 2 La perspective affranchie de l'embaras du plan géométral, Zürich. Lambert, Johann Heinrich 1943: Johann Heinrich Lambert. Schriften zur Perspektive, ed. Max Steck, Berlin. Laurent, Roger 1987: La place du J.-H. Lambert (1728–1777) dans l'histoire de la perspective. Suivi de la version intégrale … inédite des Notes et additions à la perspective affranchie… Traduction de Jeanne Peiffer, Paris. Niceron, Jean-François 1638: Ia perspective curieuse, ou magie artifcielle des efets merveilleux …, Paris. Later editions Paris 1652, Paris 1663, and Paris 1679. Latin translation below. Niceron, Jean-François 1646: Thaumaturgus opticus seu admiranda optices …, Paris. North, John 1974: " The Astrolabe", Scientific American, January 1974, pp. 96–106. Philips, Caspar Jacobszoon 1765: Uitvoerig onderwys in de perspectiva of doorzichtkunde, Amsterdam. Schübler, Johann Jacob 171920: Perspectiva Pes Picrura. Das ist kurze und leichie Verfassung …, 2 vols., Nürnberg. Later edition. Swinden, B. A. 1950: "Geometry and Girard Desargues", Mathematical Gazette, vol. 34, pp. 253–260. Sinisgalli, Rocco 1978: Per la storia della prospettiva (1405–1605). Il contributo di Simon Stevin allo sviluppo scientifico della prospettiva artificiale ed i suoi precedenti storici, Roma. Desargues' work is discussed pp. 137–141. Sinisgalli, Rocco 1980: " Gli studi di Federico Commandino sul planisfero tolemaico come elemento di rottura nella traduzione della teoria prospettica della Rinascenza", La prospettiva rinascimentale. ed. Marisa Dalai Emiliani, Firenze, pp. 475–486. Stevin, Simon 1605: " Van de verschaeuwing. Eerste bouck der deursichtighe" in Derde sruck der wisconstighe ghedachtnissen. Van de deursichtighe, Leiden. Republication and translations into Latin, French, English, and Italian listed below. Sinisgalli, Rocco 1605: Hypomnemata mathematica a Simone Stevino (ed. Willebrord Snellius), liber 3, Leiden. Sinisgalli, Rocco 1605: 1 Mémoires mathematiques par Simon Stevin (ed. Jean Tuning), livre 3, Leiden. Sinisgalli, Rocco 1634: Les oeuvres mathématiques de Simon Stevin (ed. A. Girard), Leiden. Sinisgalli, Rocco 1958: The Principal Works of Simon Stevin, vol. 11 B (ed. Dirk Struik), Amsterdam. Sinisgalli, Rocco 1978: Sinisgalli 1978 contains an Italian translation of Stevin 16052. Taton, René 1951: L'Oeuvre mathematique de G. Desargues, Paris. Second edition Paris 1988. Sinisgalli, Rocco 1951: Lu géométrie en France dt. Desargues à Poncelet, Les Conferences du Palais de la Découverte, Paris. Sinisgalli, Rocco 1971: " Desargues", Dictionary of Scientific Biography, ed. C. C. Gillispie, New York, vol. 4, pp. 46–51. Vaulezard, Jean-Louis 1631: Abrégé ou racourcy de la perspective …, Paris. Later editions Paris 1633 and Paris 1643. Wilder, Raymond L. 1981: Mathematics as a Cultural System, Oxford etc., pp. 105–117. Citing Literature Volume34, Issue1March 1991Pages 44-91 ReferencesRelatedInformation