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Breaking the circle: the emergence of Archimedean mechanics in the late Renaissance

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References

  • Archimedes (1543) Opera Archimedis Syracusani philosophi et mathematici ingeniosissimi. Venice, per Venturinum Ruffinellum

    Google Scholar 

  • Archimedes (1544) Archimedis Syracusani philosophi ac geometrae excellentissimi Opera. Basel, Ioannes Hervagius

    Google Scholar 

  • Aristotle 1982: MHXANIKA. Tradizione manoscritta, testo critico e scolii. Edited by M. E. Bottecchia. Padua: Antenore.

  • Baldi Bernardino (1621) In mechanica Aristotelis problemata. Mainz, Typis Viduae Ioannis Albini

    Google Scholar 

  • Baldini, Ugo, and Napolitani, Pier Daniele 1992: [Eds.] Christoph Clavius. Corrispondenza. 7 vols. Pisa: Università di Pisa, Dipartimento di matematica.

  • Beisenherz H.G. (1981). “Archimedes und die Protophysik”. Philosophia Naturalis 18:438–478

    MathSciNet  Google Scholar 

  • Bertoloni-Meli Domenico (1992) “Guido Ubaldo Dal Monte and the Archimedean revival”. Nuncius 7: 3–34

    MathSciNet  Google Scholar 

  • Bertoloni-Meli Domenico 2006: Thinking with objects. The transformation of mechanics in the seventeenth century. Baltimore: The Johns Hopkins University Press.

  • Brown, J. E. 1968: The scientia de ponderibus in the later Middle Ages. PhD dissertation. Madison: University of Wisconsin.

  • Brown J.E. (1978). The science of weights. In: Lindberg D.C. (eds) Science in the Middle Ages. Chicago, University of Chicago Press, pp. 179–205

    Google Scholar 

  • Clavius, Christoph 1992: Corrispondenza. 14 vols. Edited by U. Baldini and P. D. Napolitani. Pisa: Università di Pisa, Dipartimento di matematica.

  • Clagett, M. 1959: The science of mechanics in the Middle Ages. Madison: The University of Wisconsin Press, and London: Oxford University Press.

  • Commandino Federico (1565) Liber de centro gravitatis solidorum. Bologna, Ex officina A. Benacii

    Google Scholar 

  • Dal Monte Guido Ubaldo (1577) Mechanicorum liber. Pesaro, Apud Hieronymum Concordiam

    Google Scholar 

  • Dal Monte, Guido Ubaldo 1581: Le mechaniche. Translated by F. Pigafetta. Venice: Francesco di Franceschi.

  • Dal Monte, Guido Ubaldo 1588: In duos Archimedis aequeponderantium libros paraphrasis scholiis illustrata. Pesaro: Apud Hieronymum Concordiam.

  • Dijksterhuis, E. J. 1987: Archimedes (Translated by C. Dikshoorn,). Princeton: Princeton University Press. (First published 1956).

  • Drake, S., & Drabkin, I. E. 1969: Mechanics in sixteenth-century Italy. Selections from Tartaglia, Benedetti, Guido Ubaldo, and Galileo. Madison, Milwaukee, and London: The University of Wisconsin Press.

  • Dugas, René 1988: A history of mechanics. New York: Dover (1st edition, Neuchâtel: Éditions du Griffon).

  • Duhem Pierre (1905) Les origines de la statique 2 vols. Paris, Hermann

    Google Scholar 

  • Favaro, Antonio 1899–1900: “Due lettere inedite di Guidobaldo del Monte a Giacomo Contarini”, Atti del Reale Istituto Veneto di Scienze, Lettere, ed Arti 59, pp. 303–312.

  • Galilei, Galileo 1890–1909: Le opere di Galileo Galilei. Edizione Nazionale. Ed. by Antonio Favaro. 20 vols. Florence: Barbèra.

  • Galilei, Galileo 1960: On motion and on mechanics. Edited and translated by S. Drake, & I. E. Drabkin. Madison: The University of Wisconsin Press.

  • Galilei, Galileo 2002: Le mecaniche. Edited by R. Gatto. Florence: Olschki.

  • Gatto Romano (1996) La meccanica a Napoli ai tempi di Galileo. Naples, La Città del Sole

    Google Scholar 

  • Goe G. (1972) “Archimedes’ theory of the lever and Mach’s critique”. Studies in History and Philosophy of Science 2: 329–345

    Article  Google Scholar 

  • Heron of Alexandria 1900: Opera. Volumen II. Mechanica et catoptrica. Edited and translated by L. Nix and W. Schmidt. Leipzig: Teubner.

  • Hölder O. (1924) Die Mathematische Methode. Berlin, Springer

    Google Scholar 

  • Hon G., Goldstein B. (2005) “From proportion to balance: the background to symmetry in science”. Studies in History and Philosophy of Science 36: 1–21

    Article  MathSciNet  Google Scholar 

  • Jaouiche K. (1976) Le livre du Qarasţûn de Tābit ibn Qurra. Leiden, Brill

    MATH  Google Scholar 

  • Jordanus de Nemore 1533: Liber Iordani Nemorarii viri clarissimi De ponderibus propositiones XIII. Norimbergae: per Io. Petreium.

  • Jordanus de Nemore 1565: Opusculum de ponderositate. Edited by N. Tartaglia. Venice: Apud C. Troianum.

  • Knorr, W. 1982: Ancient sources of the medieval tradition of mechanics. Greek, Arabic and Latin studies of the balance. Monograph n. 6. Supplement to Annali dell’ Istituto e Museo di Storia della Scienza. Anno 1982, Fascicolo 2. Florence: Istituto e Museo di Storia della Scienza.

  • Lagrange J.L. (1888) Oeuvres Volume 11. Paris, Gauthier-Villars

    Google Scholar 

  • Laird W.R. (1986) “The scope of Renaissance mechanics”. Osiris (2nd Series) 2:43–68

    MathSciNet  MATH  Google Scholar 

  • Lenzen V.F. (1932) “Archimedes’ theory of the lever”. Isis 17:88–89

    Article  Google Scholar 

  • Leonico Tomeo N. (1530) Opuscula. Paris, Apud Simonem Colinaeum

    Google Scholar 

  • Mach E. (1883) Die Mechanik in ihrer Entwickelung historisch-kritisch dargestellt. Leipzig, F.A. Brockhaus

    Google Scholar 

  • Mach E. 1960: The science of mechanics: A critical and historical account of its development (T. J. McCormack, Trans.). LaSalle, Illinois: The Open Court Publishing Company.

  • Martin R.N.D. (1976) “The genesis of a mediaeval historian: Pierre Duhem and the Origins of Statics”. Annals of Science 33: 119–129

    Article  MathSciNet  Google Scholar 

  • Martin R.N.D. (1990) “Duhem and the origins of statics: Ramifications of the crisis of 1903–04”. Synthese 83: 337–355

    Article  Google Scholar 

  • Moletti, Giuseppe 2000: The unfinished mechanics of Giuseppe Moletti. Edited and translated by W. R. Laird. Toronto, Buffalo, London: University of Toronto Press:

  • Moody, Ernest A., and Clagett, Marshall 1960: The medieval science of weights (scientia de ponderibus). Treatises ascribed to Euclid, Archimedes, Thabit ibn Qurra, Jordanus de Nemore, and Blasius of Parma. Madison: The University of Wisconsin Press (1st ed. 1952).

  • Nenci, Elio 1986/87: Gli scritti di Meccanica e le “Vite de’ Matematici” di Bernardino Baldi (1553–1617). Tesi di Laurea. Milan: Università degli Studi di Milano.

  • Newton, Isaac 1972: Philosophiae naturalis principia mathematica. Edited by A. Koyré and I. B. Cohen. 2 vols. Cambridge: Harvard University Press.

  • Palmieri Paolo (2003) “Mental models in Galileo’s early mathematization of nature”. Studies in History and Philosophy of Science 34: 229–264

    Article  MathSciNet  Google Scholar 

  • Pappus (1660) Mathematicae collectiones a Federico Commandino Urbinate in Latinum conversae, et commentarijs illustratae. Bologna, Ex typographia HH. de Duccijs

    Google Scholar 

  • Pappus 1878: Collectionis quae supersunt. Vol. III, Tome I. Edited and translated by F. Hultsch. Berlin: Weidmann.

  • Pappus 1982: La collection mathématique. Translated by P. Ver Eecke. 2 vols. Paris: Blanchard (1st ed., Paris, Bruges: n.p., 1933).

  • Piccolomini Alessandro (1547) In mechanicas quaestiones Aristotelis, paraphrasis paulo quidem plenior. Rome, Apud Antonium Bladum Asulanum

    Google Scholar 

  • Reimann D. (1936) “Historische Studie über Ernst Machs Darstellung des Hebelsatzes”. Quellen und Studien zur Geschichte der Naturwissenschaften und der Medizin 3: 554–592

    Google Scholar 

  • Renn, J., Damerow, P., and McLaughlin, P. 2003: “Aristotle, Archimedes, Euclid, and the origin of mechanics: The perspective of historical epistemology”. In José Luis Montesinos Sirera (Ed.) Symposium Arquímedes Fundación Canaria Orotava de Historia de la Ciencia (pp. 43–59). Preprint 239. Max-plank-Institut für Wissenschaftsgeschichte. Retriveable at: http://www.mpiwg-berlin.mpg.de/Preprints/P239.PDF.

  • Roberval Gilles Personne de (1636) Traité de mechanique des poids soustenus par des puissances sur les plans inclinez à l’ horizon. Paris, Richard Charlemagne

    Google Scholar 

  • Rose P.L. (1975) The Italian Renaissance of mathematics. Genève, Droz

    Google Scholar 

  • Rose P.L. 1977: “A Venetian patron and mathematician of the sixteenth-century: Francesco Barozzi (1537–1604)”, Studi Veneziani, Nuova Serie, 1, 1977, pp. 119–177.

  • Rose, P. L., & Drake, S. 1971: “The pseudo-Aristotelian Questions of Mechanics in Renaissance culture”, Studies in the Renaissance 18, pp. 65–104.

  • Sato T. (1981) “Archimedes’ lost works on center of gravity of solids, plane figures, and magnitudes”. Historia Scientiarum 20: 1–41

    MATH  Google Scholar 

  • Schmidt O. (1975) “A system of axioms for the Archimedean theory of equilibrium and center of gravity”. Centaurus 19: 1–35

    Article  MathSciNet  MATH  Google Scholar 

  • Serrai Alfredo (2002) Bernardino Baldi. La vita, le opere, la biblioteca. Milan, Sylvestre Bonnard

    Google Scholar 

  • Stein, W. 1965: “Der Begriff des Schwerpunktes bei Archimedes”. In O. Becker (Ed.) Zur Geschichte der Griechischen Mathematik (pp. 76–99). Darmstadt: Wissenschaftliche Buchgesellschaft. (First published in Quellen uns Studien zur Geschichte der Mathematik, Astronomie und Physik. Abteilung B: Studien. Band I, 1930, pp. 221–244).

  • Tartaglia Niccolò (1546) Quesiti et inventioni diverse. Venice, Venturino Ruffinelli

    Google Scholar 

  • Thibodeau-Hariman P., Pollatsek A., Well A.D. (1986) “Learning to understand the balance beam”. Cognition and Instruction 3: 63–86

    Article  Google Scholar 

  • Torricelli, Evangelista 1644: Opera geometrica. Florence: Landi e Massa. Retrivable at: http://posner.library.cmu.edu/Posner/

  • 1919–1944: Opere. 4 vols. Edited by G. Vassura and G. Loria. Faenza: G. Montanari.

  • Vailati, G. 1987: Scritti. 3 vols. Edited by M. Quaranta. Sala Bolognese: Forni Editore.

  • Van Dyck Maarten (2006)” Gravitating towards stability: Guidoubaldo’s Aristotelian-Archimedean synthesis”. History of Science 44: 373–407

    Google Scholar 

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Palmieri, P. Breaking the circle: the emergence of Archimedean mechanics in the late Renaissance. Arch. Hist. Exact Sci. 62, 301–346 (2008). https://doi.org/10.1007/s00407-007-0012-8

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