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Abstract

The book De architectura by the Roman architect and engineer Vitruvius (first century AD) became known in the 12th century; nearly all the works of Archimedes (3rd century BC) were translated by William of Moerbeke in 1269, from Greek into Latin; and the peripatetic Mechanica on mechanical problems was translated into Latin in the early 13th century. But these writings had no influence on the practice of medieval craftsmen who did not understand Latin. Moreover, even Vitruvius did not know mathematical statics, only empirical rules. Arches or vaults did not play a real role in his thinking. Utility had traditionally not been a consideration in science, only in the arts and crafts, while technology had got along quite successfully without any assistance from science (Drake 1976). The physics of Aristotle was designed to explain the causes of things, not to be of use to the engineer, the architect or the builder.

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References

  • Beck, Th., 1899, Beiträge zur Geschichte des Maschinenbaues, Berlin, J. Springer.

    Google Scholar 

  • Bedini, S. A. and Maddison, F. R., 1966, “Mechanical universe, The Astrarium of Giovanni de’ Dondi”, Transactions of the American Philosophical Society Held at Philadelphia for Promoting Useful Knowledge, New Series, 56 (5): 1–69.

    Google Scholar 

  • Berninger, E., 1997, “Der Ăśbergang zur Renaissance, Italienische Tradition”, in: Europäische Technik im Mittelalter 800-1400, Tradition und Innovation (Lindgren, U., ed.), 2nd ed., Berlin, Gebr. Mann Verlag: 551–568.

    Google Scholar 

  • Besson, J., 1578, Theatrum instrumentorum et machinarum, Thèatre des instruments mathèmatiques et mechaniques, Lyon, Bartholomeus Vincentius.

    Google Scholar 

  • Booker, P. J., 1963, A History of Engineering Drawing, London, Chatto & Winches.

    Google Scholar 

  • Carugo, A., 1991, “Nota sulle fonti letterarie di Agostino Ramelli”, in: Ramelli, A., Le diverse et artificiose machine (Paris 1588), reprint, Milano, Edizioni Il Polifilo: XXXV-XLI.

    Google Scholar 

  • Deforge, Y., 1981, Le graphisme technique, Son histoire et son enseignement, Seyssel, Champs Vallon.

    Google Scholar 

  • Drake, S., 1976, “An agricultural economist of the late Renaissance”, in: Hall and West 1976: 53–73.

    Google Scholar 

  • Drake, S., and Drabkin, I. E. (eds.), 1969, Mechanics in Sixteenth-century Italy,Selection from Tartaglia, Benedetti,Guido Ubaldo, & Galileo, Madison-London, The University of Wisconsin Press.

    Google Scholar 

  • Feldhaus, F. M., 1959, Geschichte des technischen Zeichnens, 2nd ed. by Edmund Schruff, Wilhelmshaven, F. Kuhlmann.

    Google Scholar 

  • Fleckenstein, J.0., 1965, “Die Einheit von Technik, Forschung und Philosophie im Wissenschaftsideal des Barock”, Technikgeschichte, 32:19–30.

    Google Scholar 

  • Fontana, D., 1590, Del modo tenuto nel trasportare l’obelisco Vaticano e delle fabriche fatte da nostro Signore Sisto V, Roma, Domenico Basa (reprint DĂĽsseldorf, Werner Verlag, 1987).

    Google Scholar 

  • Francesco di Giorgio Martini, 1967, Trattati di architettura ingegneria e arte militare (Maltese, C., ed.), Milano, Edizione Il Polifilo.

    Google Scholar 

  • Galluzzi, P. (ed.), 1987, Leonardo da Vinci: Engineer and Architect, Montreal, Montreal Museum of Fine Arts.

    Google Scholar 

  • Galluzzi, P., 1995, Les ingènieurs de la Renaissance de Brunelleschi Ă  Lèonard de Vinci, Firenze, Giunti.

    Google Scholar 

  • Groetsch, Ch. W., 1996, “Tartaglia’s inverse problem in a resistive medium”, American Mathematical Monthly, 103: 546–551.

    Article  MathSciNet  MATH  Google Scholar 

  • Hall, B. S. and West, D. C. (eds.), 1976, On Pre-Modern Technology and Science, A Volume of Studies in Honor of Lynn White, Jr., Los Angeles, Undena.

    Google Scholar 

  • Hermann, A. and Schönbeck, Ch. (eds.), 1991, Technik und Kultur, vol. 3, Technik und Wissenschaft, DĂĽsseldorf, Verein Deutscher Ingenieure.

    Google Scholar 

  • Heyman, J., 1994, “The theory of structures”, in: Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences (Grattan-Guinnes, I., ed.), London-New York, Routledge: vol. II, 1034–1043.

    Google Scholar 

  • Horologium Amicorum Emmanuel Poulle, 1998, L’Astrarium de Giovanni Dondi, Padoue, BibliothĂ©que capitulaire, ms D. 39, Paris, École des Chartes.

    Google Scholar 

  • Keller, A. G., 1972, “Mathematical technologies and the growth of the idea of technical progress in the sixteenth century”, in: Science,Medicine and Society in the Renaissance, Essays to honour Walter Pagel (Debus, A. G., ed.), vol. 1, New York, Science History Publications: 11–27.

    Google Scholar 

  • Keller, A. G. G., 1975, “Mathematicians, mechanics and experimental machines in northern Italy in the sixteenth century”, in: The Emergence of Science in Western Europe (Crosland, M., ed.), London-Basingstoke, Macmillan: 15–34.

    Google Scholar 

  • Klemm, F., 1954, Technik, Eine Geschichte ihrer Probleme, Freiburg-MĂĽnchen, K. Alber.

    Google Scholar 

  • Klemm, F., 1962, “Die sieben mechanischen KĂĽnste des Mittelalters”Die BASF, 12:46–51.

    Google Scholar 

  • Klemm, F., 1965a, “Das alte technische Schrifttum als Quelle der Technikgeschichte”, Humanismus und Technik, 10:27–42.

    Google Scholar 

  • Klemm, F., 1965b, “Die Rolle der Technik in der italienischen Renaissance”, Technikgeschichte, 32:221–243.

    Google Scholar 

  • Klemm, F., 1978, “Physik und Technik in Leonardo da Vincis Madrider Manuskripten”, Technikgeschichte, 45:4–26.

    Google Scholar 

  • Knobloch, E., 1994, “Mathematical methods in medieval and Renaissance technology, and machines”, in: Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences (Grattan-Guinness, I., ed.), London-New York, Routledge: vol. I, 251–258.

    Google Scholar 

  • Long, P. 0., 1997, “Power, patronage, and the authorship of ars. From mechanical know-how to mechanical knowledge in the last scribal age”, Isis, 88:1–41.

    Article  Google Scholar 

  • Marx, E., 1926, “Bericht ĂĽber ein Dokument mittelalterlicher Technik”, Beiträge zur Geschichte der Technik und Industrie, 16: 317–322.

    Google Scholar 

  • Maschat, H., 1989, Leonardo da Vinci und die Technik der Renaissance, MĂĽnchen, Profil.

    Google Scholar 

  • MittelstraĂź, J., 1997, “Leonardo und die Leonardo-Welt. Der universale Mensch als Weltbaumeister”, Freiburger Universitätsblätter, 138: 51–65.

    Google Scholar 

  • Naholuha, A., 1960, Kulturgeschichte des technischen Zeichnens, Wien, Springer.

    Google Scholar 

  • Payne-Gallwey, R., 1907, A summary of the history, construction and effects in warfare of the projectile-throwing engines of the ancients, with a treatise on the structure, power and management of Turkish and other Oriental bows of mediaeval and later times, London-New York, Longmans, Green and co. (reprint, The Projectile-Throwing Engines of the Ancients, London, Kingprint, 1973).

    Google Scholar 

  • Popplow, M., 1998, Neu,nĂĽtzlich und erfindungsreich. Die Idealisierung von Technik in der frĂĽhen Neuzeit, MĂĽnster, Waxmann.

    Google Scholar 

  • Prager, F. D., 1950, “Brunelleschi’s inventions and the `renewal of roman masonry work’ ”, Osiris, 9: 457–554.

    Article  Google Scholar 

  • Prager, F. D., 1963, “Francesco di Giorgio Martini’s treatise on engineering and its plagiarists”, Technology and Culture, 4: 287–298.

    Article  Google Scholar 

  • Prager, F. D., 1968, “A manuscript of Taccola, quoting Brunelleschi, on problems of inven-tors and builders”, Proceedings of the American Philosophical Society, 112: 131–149.

    Google Scholar 

  • Prager, F. D. and Scaglia, G., 1970, Brunelleschi: Studies of his Technology and Inventions, Cambridge (Mass.), MIT Press.

    Google Scholar 

  • Presas i Puig, A., 1998, Praktische Geometrie und Kosmologie am Beispiel der Architektur, MĂĽnchen, Institut fĂĽr Geschichte der Naturwissenschaften.

    MATH  Google Scholar 

  • Ramelli, A., 1588, Le diverse et artificiose machine, Paris, Casa del’autore (Reprint Milano, Edizioni Il Polifilo, 1991).

    Google Scholar 

  • Reti, L., 1963, “Francesco di Giorgio Martini’s Treatise on Engineering and Its Plagiarists”, Technology and Culture, 4: 287–298.

    Article  Google Scholar 

  • Scaglia, G., 1966, “Drawings of machines for architecture from the early quattrocento in Italy”, Journal of the Society of Architectural Historians, 25: 90–114.

    Article  Google Scholar 

  • Scaglia, G., 1987, “A typology of Leonardo’s mechanisms and machines”, in: Galluzzi 1987: 145–161.

    Google Scholar 

  • Schimank, H., 1961, Der Ingenieur,Entwicklungsweg eines Berufes bis Ende des 19. Jahrhunderts, Köln, Bund-Verlag.

    Google Scholar 

  • Schneider, I., 1970, “Die mathematischen Praktiker im See-, Vermessungs-und Wehrwesen vom 15. bis zum 19. Jahrhundert”, Technikgeschichte, 37: 210–242.

    MathSciNet  Google Scholar 

  • Schönbeck, Ch., 1991, “Renaissance-Naturwissenschaften und Technik zwischen Tradition und Neubeginn”, in: Hermann and Schönbeck 1991: 240–268.

    Google Scholar 

  • Scriba, C. J. and Maurer, B., 1991, “Technik und Mathematik”, in: Hermann and Schönbeck 1991: 31–76.

    Google Scholar 

  • Sellenriek, J., 1987, Zirkel und Lineal, Kulturgeschichte des konstruktiven Zeichnens, MĂĽnchen, Callwey.

    Google Scholar 

  • Shelby, L. R., 1976, `The “secret” of the medieval masons’, in: Hall and West 1976: 201–219.

    Google Scholar 

  • Simms, D. L., 1995, “Archimedes the engineer”, History of Technology, 17: 45–111.

    MathSciNet  Google Scholar 

  • Stöcklein, A., 1969, Leitbilder der Technik, Biblische Tradition und technischer Fortschritt, MĂĽnchen, Moos.

    Google Scholar 

  • Straub, H., 1964, A History of Civil Engineering: An Outline from Ancient to Modern Times, Cambridge (Mass.), MIT Press (German ed. 1949, 19642, Die Geschichte der Bau-ingenieurkunst, Ein Ăśberblick von der Antike bis in die Neuzeit, Basel, Birkhäuser).

    Google Scholar 

  • Usher, A. P., 1957, “Machines and mechanisms”, in: A History of Technology (Singer, Ch., Holmyard, E. J., Rupert Hall, A., and Williams, T. I., eds.), vol. 3, From the Renaissance to the Industrial Revolution c. 1500- c. 1750, Oxford, Oxford University Press: 324–346.

    Google Scholar 

  • White, L. Jr., 1962, Medieval Technology and Social Change, Oxford, Clarendon Press.

    Google Scholar 

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Knobloch, E. (2004). Mathematical Methods in Preindustrial Technology and Machines. In: Gasca, A.M., Lucertini, M., Nicolò, F. (eds) Technological Concepts and Mathematical Models in the Evolution of Modern Engineering Systems. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7951-4_1

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  • DOI: https://doi.org/10.1007/978-3-0348-7951-4_1

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9633-7

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