Bibliography

Abattouy, M. (1996) "Galileo's Manuscript 72: Genesis of the New Science of Motion (Padua ca. 1600-1609)," Preprint 48. Berlin: Max Planck Institute for the History of Science Agazzi, Evandro, David Grunder, and Jaakko Hintikka (eds.) (1981) Proceedings of the 1978 Pisa Conference on the History and Philosophy of Science, vol. 1, Dordrecht: Reidel Aiton, E. J. (1972) The Vortex Theory of Planetary Motions, London: Elsevier Allaire, Edwin B. (1966) "'Tractatus' 6.3751," in: I. M. Copi and R. W. Beard (eds.) 1966, 189-194 Aquinas, Thomas (1963) Commentary on Aristotle's Physics (ed. and transl. by R. J. Blackwell, R. J. Spath, W. E. Thirlkel) London: Routledge Archimedes (1953) The Works of Archimedes (ed. by T. L. Heath) New York: Dover Arend, G. (1998) Die Mechanik des Niccoli> Tartaglia im Kontext der zeitgenossischen Erkenntnis- und Wissenschaftstheorie, Munchen: Institut fUr Geschichte der Naturwissenschaften Ariew, Roger (1986) "Descartes as Critic of Galileo's Scientific Methodology," Synthese 67, 77-90 Aris, Rutherford, and H. Ted Davis (eds.) (1983) Springs of Scientific Creativity. Essays on Founders of Modern Science, Univ. of Minnesota Press Aristotle (1984) The Complete Works of Aristotle (ed. by J. Barnes) Princeton Univ. Press Armogathe, Jean-Robert and Giulia Belgioioso (1996) Descartes: Principia philosophiae (1644 - 1994), (atti del convegno per i1350. anniversario della pubblicazione dell'opera, Parigi, 5 - 6 maggio 1994, Leece, 10 - 12 novembre 1994), Naples: Vivarium, 1996 Barbin, Evelyn, Eliane Bonnefon, Michele Choliere, Gilles Hard, Xavier Lefort, Christiane Lize (1987) Mathematiques, arts et techniques au XVI/eme siecle, Publications de L' Universite Du Maine, no. 4, Le Mans: Equipe I.R.E.M., La Fette-Bernard: Bellanger Barbin, Evelyne, and Michele Choliere (1987) "La Trajectoire des projectiles de Tartaglia a Galilee," in: E. Barbin et al. 1987,40-147 Beeckman, Isaac (1939) Journal tenu par Isaac Beeckman de 1604 a 1634, The Hague: Martinus Nijhoff Benedetti, Giovanni Battista (1585) Diversarum speculationum mathematicarum, et physicarum tiber, Torino (reissued, Venice 1586, 1599) Bernhardt, Jean (1979) "La polemique de Hobbes contre la Dioptrique de Descartes dans Ie Tractatus opticus I/ (1644)," Revue internationale de philo• sophie 33: 432-442 384 BIDUOGRAPHY

Bertoloni Meli, D. (1992). "Guidobaldo dal Monte and the Archimedean Revival," Nuncius, 7, 3-34 Biagioli, M. (1989) "The Social Status of Italian Mathematicians 1450-1600," History of Science 27: 41-95 Biagioli, Mario (1993) Galileo, Courtier. The Practice of Science in the Culture of Absolutism, Chicago: University of Chicago Press Blackwell, Richard 1. (1966) "Descartes' Laws of Motion," Isis 57,220-234 Blay, Michel (1998) Reasoning with the Infinite: From the Closed World to the Mathematical Universe, Chicago: Univ. of Chicago Press Blay, Michel (1998), "Les regles cartesiennes de la science du mouvement dans Le Monde ou traite de la lumiere," Revue d'histoire des sciences 51: 319-346 Brandt, Frithiof (1928) Thomas Hobbes' Mechanical Conception of Nature, Copenhagen: Levin & Munksgaard Buchdahl, Gerd (1969) Metaphysics and the Philosophy of Science, Oxford: Blackwell Buridan, Jean (1942) Quaestiones super libris quattuor de caelo et mundo (ed. by E. A. Moody) Cambridge, Mass: Medieval Academy of America Buttner, Jochen, Peter Damerow, 1iirgen Renn and Matthias Schemmel (2002) "The Challenging Images of Artillery. Practical Knowledge at the Roots of the Scientific Revolution," in: Wolfgang Lefevre, 1iirgen Renn and Urs Schoepflin (eds.) The Power of Images in Early Modern Science, Basle: Birkhauser Butts, Robert E. (1978) "Some Tactics in Galileo's Propaganda for the Mathe• matization of Scientific Experience," in: Butts and Pitt 1978,59-86 Butts, Robert E., and Joseph C. Pitt (eds.) (1978) New Perspectives on Galileo (Papers Deriving from and Related to a Workshop on Galileo held at Virginia Polytechnic Institute and State University, 1975) University of Western Ontario Series in Philosophy of Science, 14, Dordrecht: Reidel Camerota, M. (1992) Gli Scritti De Motu Antiquiora di Galileo Galilei: II Ms. Gal. 71. Un'analisi storico-critica, Cagliari: Cooperativa Universitaria Cardano, Girolamo (1550) De Subtilitate libri xxi, Nurnberg (other editions, Lyon, 1551, 1558, 1580) Caroti, Stefano (1977) "Nicole Oresme precursore di Galileo e di Descartes?" Rivista critica di storia della filosofia 32: 11-23, 415-436, 552-563 Caroti, Stefano (1993) "Oresme on motion (,Questiones super Physicam', III, 2- 7)," Vivarium: Journal for Mediaeval Philosophy and the Intellectual Life of the Middle Ages 31: 8-36 Casper, B. M. (1977) "Galileo and the Fall of Aristotle: A Case of Historical Injustice?" American Journal of Physics 45, 325-330 Cassirer, Ernst (1923) Substance and Function, New York: Dover Cavalieri, Bonaventura (1632) Lo Specchio ustorio overo trattato delle settioni coniche : et alcuni loro mirabili effeti intorno allume, caldo,jreddo, suono, e moto ancora, Bologna: Ferroni Cavalieri, Bonaventura (1635) Geometria indivisibilibus continuorum nova quadam ratione promota, Bologna: Ferronius BffiUOGRAPHY 385

Caverni, Raffaello (1895) Storia del metodo sperimentale in Italia, 6 vols. Florence (Reprint: New York: Johnson, 1972) Chalmers, Alan, and Richard Nicholas (1983) "Galileo on the Dissipative Effect of a Rotating Earth," Studies in History and Philosophy of Science 14, 315- 340 Clagett, Marshall (1959) The Science of Mechanics in the Middle Ages, Univ. of Wisconsin Press Clagett, Marshall (1968) "Introduction. Nicole Oresme and the de configura• tionibus qualitatum et motuum," in: Oresme 1968a Clagett, Marshall (1979b) "Richard Swine shead and Late Medieval Physics. The Intension and Remission of Qualities," in: Clagett 1979a, 131-161 (Reprinted from Osiris 9, 1950) Clagett, Marshall (ed.) (1979a) Studies in Medieval Physics and Mathematics, London: Variorum Reprints Clarke, Desmond M. (1977) "The Impact Rules of Descartes' Physics," Isis 68, 55-66 Clarke, Desmond M. (1982) Descartes' Philosophy of Science, Manchester Univ. Press Clarke, Desmond M. (1989) Natural Philosophy in the Age of Louis XIV, Oxford: Clarendon Clavelin, Maurice (1968) La Philosophie naturelle de Galilee: Essai sur les origines et laformation de la mechanique classique, Paris: Armand Colin Clavelin, Maurice (1974) The Natural Philosophy of Galileo (transl. by A. J. Pomerans) MIT Press Clavelin, Maurice (1983) "Conceptual and Technical Aspects of the Galilean Geometrization of the Motion of Heavy Bodies," in: Shea 1983a, 23-50 Coffa, Jose Alberto (1968) "Galileo's Concept ofInertia," Physis 10, 261-281 Cohen, I. Bernard (1985) Revolution in Science, Cambridge: The Belknap Press of Harvard Univ. Press Copi, Irving M., and Robert W. Beard (1966) Essays on Wittgenstein's Trac• tatus, London: Routledge Costabel, Pierre (1960) Leibniz et la dynamique, Paris: Hermann Costabel, Pierre (1967) "Essai critique sur quelques concepts de la mecanique cartesienne," Archives internationales d'histoire des sciences 20, 235-252. Costabel, Pierre (1975) "Mathematics and Galileo's Inclined Plane Experiments," in: Righini-Bonelli and Shea 1975, 175-189 Cottingham, John (ed.) (1992), The Cambridge Companion to Descartes, Cambridge Univ. Press Coulter, Byron L., and Carl G. Adler (1979) "Can a body pass a body falling through the air?" American Journal of Physics 47,841-846 Crombie, Allistair C. (1975) "Sources of Galileo's Early Natural Philosophy," in: Righini-Bonelli and Shea 1975,157-176 Crombie, Allistair C. (1985) "Sorting Out the Sources," Review of William A. Wallace, Galileo and His Sources: The Heritage of the Collegio Romano in Galileo's Science, Times Literary Supplement, London, November 22, 1985 386 BffiUOGRAPHY

Cronin, Timothy J. (1966) Objective Being in Descartes and Suarez (Analecta Gregoriana 154) Rome: Gregorian Univ. Press Crowe, Michael J. (1967) A History of Vector Analysis. The Evolution of the Idea of a Vectorial System, Notre Dame Univ. Press Damerow, Peter (1996) Abstraction and Representation: Essays on the Cultural Evolution of Thinking, Dordrecht: Kluwer, 1996 (Boston Studies in the Philosophy of Science 175) de Buzon, Frederic and Vincent Carraud (1994), Descartes et les "Principia" II : corps et mouvement, Paris: Presses Univ. de France, 1994 De Gandt, Fran~ois (1982) "De la vitesse de Galilee aux fluxions de Newton," in: F. Guenard and G. Lelievre (eds.) Penser les mathematiques, Paris: Le Seuil del Monte, Guidobaldo (ca. 1587-1592) Meditantiunculae Guidi Ubaldi e marchionibus Montis Santae Mariae de rebus mathematicis (Ms Catalogue No., Lat. 10246) Bibliotheque Nationale, Paris Descartes, Rene (1657) Lettres de MY Descartes. Oil sont traittees les plus belles questions de la morale, physique, medicine, et des mathematiques, [vol. 1] Paris: Le Gras Descartes, Rene (1936-63) Correspondance (ed. and transl. by Ch. Adam and G. Milhaud) Paris: Presses Universitaires de France Descartes, Rene (1964-74) Oeuvres de Descartes (ed. by Ch. Adam and P. Tannery) Paris: Vrin Descartes, Rene (1983) Principles of Philosophy (transl. by V. R. and R. P. Miller) Dordrecht: Reidel Descartes, Rene (1985-91) The Philosophical Writings of Descartes, 3 vols. (transl. by J. Cottingham, R. Stoothoff, D. Murdoch, A. Kenny) Cambridge Univ. Press Descartes, Rene, Letter to Mersenne Nov. 13, 1629 (Ms Catalogue No., f. fr., nouv. acq. 5160, fol. 48) Bibliotheque Nationale, Paris Des Chene, Denis (1996) Physiologia. Natural Philosophy in Late Aristotelian and Cartesian Thought, Ithaca: Cornell Univ. Press di Pasquale, Salvatore. (1996). L'arte del costruire: tra conoscenza e scienza, Venice: Marsilio Digby, Kenelm (1644) Two Treatises in the one of which, the Nature of Bodies; in the other, the Nature of Mans Soule; is looked into: ... , Paris (Reprint: Stuttgart: Frommann, 1970) Dijksterhuis, Eduard J. (1924) Val en worp. Een bijdrage tot de geschiedenis der mechanica van Aristoteles tot Newton, Groningen: Noordhoff Dijksterhuis, Eduard J. (1961) The Mechanization of the World Picture (transl. by C. Dikshoorn) Oxford: Clarendon Press Dijksterhuis, Eduard J. (1970) Simon Stevin. Science in the Netherlands around 1600, The Hague: Nijhoff Dijksterhuis, Eduard J. (1987) Archimedes (transl. by C. Dikshoorn) Princeton Univ. Press Drabkin, I. E. (1960) "A Note on Galileo's De Motu," Isis 51,271-277 Drake, Stillman (1958) "Notes and Correspondence," Isis 49, 345-346 BIDLIOGRAPHY 387

Drake, Stillman (1964) "Galileo and the Law of Inertia," American Journal of Physics 32, 601-608 Drake, Stillman (1968a) "Galileo Gleanings XVI. Semicircular Fall in the Dialogue," Physis 10 , 89-100 Drake, Stillman (l968b) "Galileo Gleanings XVII. The Question of Circular Inertia," Physis 10, 282-298 Drake, Stillman (1969) "Galileo Gleanings XVIII. Galileo's 1604 Fragment on Falling Bodies," British Journalfor the History of Science 4,340-358 Drake, Stillman (1970a) "Galileo Gleanings XIX. Uniform Acceleration, Space, and Time," British Journal for the History of Science 5, 21-43 Drake, Stillman (1970b) Galileo Studies. Personality, Tradition, and Revolution, Univ. of Michigan Press Drake, Stillman (l972a) "Galileo Gleanings XX. The Uniform Motion Equiva• lent to a Uniformly Accelerated Motion from Rest," Isis 63, 28-38 Drake, Stillman (l972b) "Galileo Gleanings XXI. On the Probable Order of Galileo's Notes on Motion," Physis 14, 55-65 Drake, Stillman (1973a) "Galileo Gleanings XXII. Galileo's Experimental Confirmation of Horizontal Inertia: Unpublished Manuscripts," Isis 64, 291-305 Drake, Stillman (1973b) "Galileo's Discovery of the Laws of Free Fall," Scientific American 228, No.5, May, 1973, 84-92 Drake, Stillman (1973c) "Galileo Gleanings XXII. Velocity and Eudoxian Proportion Theory," Physis 15, 49-64 Drake, Stillman (1974a) "Impetus Theory and Quanta of Speed before and after Galileo," Physis 16, 47-65 Drake, Stillman (1974b) "Galileo's Work on Free Fall in 1604," Physis 16, 309-322 Drake, Stillman (1975a) "Free Fall from Albert of Saxony to Honore Fabri," Studies in History and Philosophy of Science 5,347-366 Drake, Stillman (1975b) "Galileo's New Science of Motion," in: Righini• Bonelli and Shea 1975, 131-157 Drake, Stillman (1975c) "Impetus Theory Reappraised," Journal of the History of Ideas 36,27-46 Drake, Stillman (1976a) "A Further Reappraisal of Impetus Theory: Buridan, Benedetti and Galileo," Studies in History and Philosophy of Science 7, 319- 336 Drake, Stillman (1976b) "Galileo Gleanings XXIV. The Evolution of De Motu," Isis 67,239-250 Drake, Stillman (1978) Galileo at Work. His Scientific Biography, Univ. of Chicago Press Drake, Stillman (1979) "Galileo's Notes on Motion Arranged in Probable Order of Composition and Presented in Reduced Facsimile," Supplemento agli Annali dell'lstituto e Museo di Storia della Scienza 2, Monografia 3 Drake, Stillman (1982) "Analysis of Galileo's Experimental Data," Annals of Science 39, 389-397 388 BffiUOORAPHY

Drake, Stillman (1983) "Comment on the above Note by R. H. Naylor," Annals of Science 40, 395-396 Drake, Stillman (1985) "Galileo's Accuracy in Measuring Horizontal Projec• tions," Annali dell'Istituto e Museo di Storia della Scienza 10,1-14 Drake, Stillman (1986) "Galileo's Pre-Paduan Writings: Years, Sources, Motiva• tions," Studies in History and Philosophy of Science 17, 429-448 Drake, Stillman (1988) Galileo. Una Biografia scientifica (transl. by Luca Ciancio) Bologna: II Mulino Drake, Stillman (1989a) "Hipparchus-Geminus-Gali1eo," Studies in History and Philosophy of Science 20, 47-56 Drake, Stillman (1989b) History of Free Fall: Aristotle to Galileo, Toronto: Wall and Thomson Drake, Stillman (1990) Galileo: Pioneer Scientist, Dniv. of Toronto Press Drake, Stillman (1999) Essays on Galileo and the History and Philosophy of Science, (ed. by Noel M. Swerdlow and Trevor H Levere) .3 vols.; Dniv. of Totonto Press Drake, Stillman, and I. E. Drabkin, (eds. and transl.) (1969) Mechanics in Six• teenth-Century Italy: Selections from Tartaglia, Benedetti, Guido Ubaldo, & Galileo, Dniv. of Wisconsin Press Drake, Stillman, and James MacLachlan (1975a) "Galileo's Discovery of the Parabolic Trajectory," Scientific American, March 1975, 102-110 Drake, Stillman, and James MacLachlan (1975b) "Reply to the Shea-Wolf Critique," Isis 66, 400-403 Dubarle, D. O. P. (1937) "Remarques sur les regles du choc chez Descartes," in: Cartesio, special supplement to Rivista difilosofia neo-scholastica 19, 325- 334 Duhem, Pierre (1906-1913) Etudes sur Leonardo de Vinci, 3 vols. Paris: Hermann Duhem, Pierre (1906ff) Le System du monde, 10 vols., Paris: Hermann Duhem, Pierre (1987) "An Account of the Scientific Titles and Works of Pierre Duhem," Science in Context 1, 333-350 Dutton, Blake D. (1996), "Indifference, Necessity and Descartes Derivation of the Laws of Motion," Journal of the History of Philosophy 34: 193-212 Euclid (1956) The Thirteen Books of the Elements, 2nd rev. ed. 3 vols. (ed. and transl. by Thomas L. Heath) New York: Dover Euler, Leonhard (1665) Theoria motus corporum solidorum seu rigidorum, vol. 1 in: Opera omnia (second series vol. 3) Berlin and Leipzig: Teubner, 1948 Euler, Leonhard (1846) Letters to a German Princess on Different Subjects in Physics and Philosophy, New York Eustace of St. Paul [Eustacius] (1640) Summa philosophiae quadrapartita de rebus dialecticis, ethicis, physicis, et metaphysicis, Cambridge Favaro, Antonio (1883) Galileo Galilei e 10 Studio di Padova, 2 vols., Florence Favaro, Antonio (1983) Amici e corrispondenti di Galileo (ed. by P. Galluzzi) 3 vols. Florence: Salimbeni BIBLIOGRAPHY 389

Feinberg, G. (1965) "Fall of Bodies Near the Earth," American Journal of Physics 33, 501-502 Feldhay, Rivka (1987) "Knowledge and Salvation in Jesuit Culture," Science in Context 1, 195-213 Feldhay, Rivka (1995) Galileo and the Church: Political inquisition or Critical Dialogue? Cambridge Univ. Press Fermat, Pierre (1891ff) Oeuvres de Fermat (ed. by P. Tannery and C. Henry) Paris Finocchiaro, Maurice A. (1972) "Vires Acquirit Eundo: The Passage where Galileo Renounces Space-Acceleration and Causal Investigation," Physis 14, 125-145 Franklin, Allan (1976) "Principle of Inertia in the Middle Ages," American Jour• nal of Physics 44, 529-545 Franklin, Allan (1977) "Stillman Drake's 'Impetus Theory Reappraised' ," Journal of the History of Ideas 38,307-315 Fredette, Raymond (1969) Les De Motu 'plus anciens' de Galileo Galilei: ProLegomenes (diss.) University of Montreal Fredette, Raymond (1972) "Galileo's De Motu antiquiora," Physis 14, 321-348 Freudenthal, Gideon (1985) '''Causa aequat effectum' bei Leibniz und Robert Mayer," Leibniz - Werk und Wirkung, Proceedings of the 4th International Leibniz Congress (Nov. 14-19, 1983) Hanover: Leibniz Gesellschaft, 203- 210 Freudenthal, Gideon (1986) Atom and Individual in the Age of Newton, Dordrecht: Reidel Freudenthal, Gideon (2000) "A Rational Controversy over Compounding Forces," in Peter Machamer, Marcello Pera, and Aristides Baltas (eds.) Scien• tific Controversies. Philosophical and Historical Perspectives, Oxford Univ. Press, 125-142 Gabbey, Alan (1980) "Force and Inertia in the Seventeenth Century: Descartes and Newton," In: Stephen Gaukroger (ed.) (1980) Descartes, Philosophy, Mathematics, and Physics, Sussex: Harvester, 230-320 Gabbey, Alan (1985) "The Mechanical Philosophy and its Problems: Mechanical Explanations, Impenetrability, and Perpetual Motion," in: J. Pitt (ed.) (1985) Change and Progress in Modern Science. Dordrecht: Reidel (University of Western Ontario Series in Philosophy of Science, 27) Galilei, Galileo (1612) Discorso al Serenissimo Don Cosimo II ... Intorno aile cose che stanno in su I'acqua 0 che in quella si muovono, Florence Galilei, Galileo (1632) Dialogo doue ne i congressi di quattro giornate si discorre sopra i due Massimi Sistemi del Mondo: Tolemaico, e Copernicano, Florence Galilei, Galileo (1638) Discorsi e dimostrazioni matematiche, intorno a due nuove scienze attenenti alia mecanica & i movimenti locali, Leyden (Galileo's annotated copy: Florence: Biblioteca Nazionale Centrale, Florence, Manuscript, Ms. Gal. 79) Galilei, Galileo (1663) A Discourse Presented to the Most Serene Don Cosimo II Great Duke of Tuscany, concerning the Natation of Bodies upon, and Sub- 390 BIBLIOGRAPHY

merged in, the Water (transl. by Thomas Salusbury) (new edition with an introduction and notes by Stillman Drake, Univ. of Illinois Press, 1960) Galilei, Galileo (1960a) On Motion and On Mechanics (transl. by Stillman Drake and I. E. Drabkin) Univ. of Wisconsin Press Galilei, Galileo (1960b) De Motu, in: Galilei (1960a) Galilei, Galileo (1960c) Le Meccaniche, in: Galilei (1960a) Galilei, Galileo (1964-1966) Le Opere di Galileo; nuova ristampa della edizione nazionale, 20 vols. (ed. by Antonio Favaro, 1890-1909) Florence: Barbera Galilei, Galileo (1970) Discours et demonstrations mathematiques concernant deux sciences nouvelles (transl. by Maurice Clavelin) Paris: Colin Galilei, Galileo (1974) Two New Sciences, Including Centers of Gravity and Force of Gravity and Force of Percussion (transl. by Stillman Drake) Univ. of Wisconsin Press (2nd ed., Toronto: Wall and Thomson, 1989) Galilei, Galileo,. (manuscripts, ca 1602-1637) Manoscritti galileiani, vol. 72 Biblioteca Nazionale Centrale, Florence (cited as Ms. Gal. 72) Galileo (1967) Dialogue Concerning the Two Chief World Systems - Ptolemaic and Copernican (transl. by Stillman Drake) Univ. of California Press Galileo Galilei (ca 1590) De Motu (MS Biblioteca Nazionale Centrale, Florence) http://nausikaa.mpiwg-berlin.mpg.de/docuserver/digitallibrary/digilib.jsp?pro l/mechanics/De_Motu_Antiquiora Galluzzi, Paolo (1977) "Galileo contro Copernico," Annali dell'Istituto e Museo di Storia della Scienza 2,87-160 Galluzzi, Paolo (1979) Momento, Rome: Ateneo e Bizzarri Galluzzi, Paolo (ed.) (1983) Novita celesti e crisi del sapere: Atti del Convegno Internazionale di Studi Galileiani, in: Annali dell'Istituto e Museo di Storia della Scienza 2, Monografia 7 Gamba, E. (1995). "Guidobaldo dal Monte tecnologo," Pesaro citta e conta: rivista della societa pesarese di studi storici 5: 99-106. Gamba, E., and V. Montebelli (1988) Le scienze a Urbino nel tardo rinasci• mento, Urbino: QuattroVenti. Gamba, E., and V. Montebelli (1989) Galileo Galilei e gli scienziati del ducato di Urbino, Urbino: Quattroventi. Garber, Daniel (1992), Descartes' Metaphysical Physics, Univ. of Chicago Press. Garber, Daniel (2001) Descartes Embodied: Reading Cartesian Philosophy through Cartesian Science, Cambridge Univ. Press Gaukroger, Stephen (1995), Descartes. An Intellectual Biography. Oxford: Clarenden Press. Gaukroger, Stephen (2000) "The Foundational Role of Hydrostatics and Statics in Descartes' Natural Philosophy," in St. Gaukroger, J. Schuster, J. Sutton (eds.) pp. 60-80. Gaukroger, Stephen (2002), Descartes' System of Natural Philosophy, Cambridge Univ. Press Gaukroger, Stephen, John Schuster, and John Sutton (eds.) (2000) Descartes' Natural Philosophy, London: Routledge BmUOGRAPHY 391

Geach, Peter (1972) Logic Matters, Oxford: Blackwell Giuntini, L., F. Lucarelli, P. A. Mando, W. Hooper, and P. H. Barker, (1995) "Galileo's writings: chronology by PIXE," Nuclear Instruments and Methods in Physics Research B, 95: 389-392 Giusti, Enrico (1981) "Aspetti matematici della cinematica galileiana," Bollettino di storia delle scienze mattematiche 1, 3-42 Giusti, Enrico (1986) "Ricerche galileiane: il trattato De Motu aequabili come modello della teoria delle proporzioni," Bollettino di storia delle scienze mattematiche 6, 89-108 Giusti, Enrico (1993) Euclides reformatus: la teoria delle proporzioni nella scuola galileiana, Torino: Bollati Boringhieri Giusti, Enrico (1998) "Elements for the relative chronology of Galilei's 'De motu antiquiora'," Nuncius: Annali di Storia della Scienza 13: 427-460 Golino, Carlo L. (ed.) (1966) Galileo Reappraised, Univ. of California Press Grant, Edward (1971) Physical Science in the Middle Ages, New York: John Wiley and Sons Grant, Edward, and John E. Murdoch (eds.) (1987) Mathematics and its Applica• tions to Science and Natural Philosophy in the Middle Ages, Cambridge Univ. Press Grattan-Guinness, I. (ed.) (1987) History in Mathematics Education (Proceedings of a workshop held at the Univ. of Toronto, Canada July-August 1983) Cahiers d'histoire et de philosophie des sciences, nouvelle serie, no 21, Societe fran~aise d'histoire des sciences et des techniques, Paris: Belin Grosholz, Emily (1991), Cartesian Method and the Problem of Reduction, Oxford: Clarendon Press. Halbwachs, F., and A. Torunczyk (1985) "On Galileo's Writings on Mechanics: An Attempt at a Semantic Analysis of Viviani's Scholium," Synthese 62, 459-484 Hall, A. Rupert (1952) Ballistics in the Seventeenth Century: A Study in the Relations of Science and War with Reference Principally to England, Cambridge Univ. Press Hall, A. Rupert (1958) "Galileo's Fallacy," Isis 49,342-344 Hall, A. Rupert (1959) "Another Galilean Error," Isis 50,261-262 Hall, A. Rupert (1965) "Galileo and the Science of Motion," British Journalfor the History of Science 2, 185-201 Hall, A. Rupert (1990) "Was Galileo a Metaphysicist?" in: Levere and Shea 1990, 105-122 Hanson, Norwood Russell (1972) Patterns of Discovery, Cambridge Univ. Press Heninger, S. K., Jr. (1977) The Cosmographical Glass. Renaissance Diagrams of the Universe, San Marino: Huntington Library Hill, David K. (1979) "A Note on a Galilean Worksheet," Isis 70, 269-271 Hill, David K. (1986) "Galileo's Work on 116v: A New Analysis," Isis 77, 283- 291 Hill, David K. (1988) "Dissecting Trajectories: Galileo's Early Experiments on Projectile Motion and the Law of Fall," Isis 79, 646-668 392 BmUOORAPHY

Hobbes, Thomas (1839-45) Opera latina (ed. by W. Molesworth) London Hobbes, Thomas (1839-45) The English Works of Thomas Hobbes (ed. by W. Molesworth) London Hobbes, Thomas (1963) "Tractatus optieus," ed. by Franco Alessio, Rivista critica di storia dellafilosofia 18: 147-228 Hobbes, Thomas (1994) The Correspondence, 2 vols. (ed. by Noel Malcolm) Oxford: Clarendon Press Hooper, W. E. (1992) Galileo and the Problems of Motion, (diss.) University of Indiana Horstmann, Frank: (2004) Nachtriige zu Betrachtungen aber Hobbes' Optik, (diss) Universiteit Utrecht Humphreys, W. C. (1967) "Galileo, Falling Bodies, and Inclined Planes," British Journalfor the History of Science 3, 225-244 Itard, Gilles (1988) "La Refraction de la lumiere, elements d'histoire de l'antiquite It la fin du XVIIeme siecle," in E. Barbin (ed.) 1988, 173-254 Joyce, W. B, and Alice Joyce (1976) "Descartes, Newton, and Snell's Law," Journal of the Optical Society of America 66, 1-8 Jullien, Vincent, and Andre Charrak: (2002) Ce que dit Descartes touchant la chute des graves: de 1618 a 1646, etude d'un indicateur de la philosophie naturelle cartesienne, Villeneuve d' Ascq: Presses Universitaires de Septentrion. Kalmar, Martin (1981) Some Collision Theories of the Seventeenth Century: Mathematicism vs. Mathematical Physics (diss.) Johns Hopkins University Kant, Immanuel (1900ff) Gesammelte Schriften, Berlin: Koniglich-PreuBischen Akademie der Wissenschaften Kant, Immanuel (1929) Critique of Pure Reason (transl. by N. Kemp Smith) New York: St. Martin's Press Kant, Immanuel (2002) Metaphysical Foundations of Natural Science, (transl. by Michael Friedman) in: H. Allison and P. Heath (eds.) Kant's Theoretical Philosophy after 1781, Cambridge Univ. Press Keynes, John Neville (1906) Studies and Exercises in Formal Logic, New York: Macmillan Kneale, William, and Martha Kneale (1969) The Development of Logic, Oxford: Clarendon Knudsen, 0., and K. M. Pedersen (1968) "The Link between Determination and Conservation of Motion in Descartes' Dynamics," Centaurus 13,183-186. Kobayashi, Miehio (1993), La Philosophie naturelle de Descartes, Paris: Vrin. Koertge, Noretta (1977) "The Development of Galileo's Ideas Concerning the Problem of Accidents," Journal of the History of Ideas 38, 389-408 Koyre, Alexandre (1939) Etudes galiieennes (2nd ed. 1966) Paris: Hermann, Koyre, Alexandre (1955) "A Documentary History of the Problem of Fall from Kepler to Newton; de motu gravium naturaliter cadentium in hypothesi terrae motae," Transactions of the American Philosophical Society 45,329-395 BmLIOGRAPHY 393

Koyre, Alexandre (1957) "La Dynamique de Nicolo Tartaglia," in: La Science au seizieme siecle (Colloque international de Royaumont 1-4 juillet 1957, Union internationale d'histoire et de philo sophie des sciences) Paris: Hermann Koyre, Alexandre (1978) Galileo Studies (transl. by John Mepham) Sussex: Harvester Kuhn, Thomas S. (1977) The Essential Tension, Univ. of Chicago Press Lefevre, Wolfgang (1978) Naturtheorie und Produktionsweise, Neuwied: Luchterhand Leibniz, G. W. (1849-1863) Leibnizens Mathematische Schriften, (ed. by C. I. Gerhardt) Berlin and Halle Leibniz, G. W. (1875-1890) Die Philosophischen Schriften, (ed. by C. I. Gerhardt) Berlin Leibniz, G.W. (1994) La reforme de la dynamique. Text'es inidits, (edited by Michel Fichant) Paris: Vrin Levere, Trevor H., and William R. Shea (eds.) (1990) Nature, Experiment, and the Sciences: Essays on Galileo and the History of Science in Honour of Stillman Drake (Boston Studies in the Philosophy of Science, 120) Dordrecht: Kluwer Lewis, Christopher (1976) "The Fortunes of Richard Swine shead in the Time of Galileo," Annals of Science 33, 561-584 Lewis, Christopher (1980) The Merton Tradition and Kinematics in Late Six• teenth and Early Seventeenth Century Italy, Padua: Editrice Antenore Libri, Guillaume (1838-1841) Histoire des Sciences mathematique en Italie, depuis la renaissance des lettres jusqu'a la fin du XVIIeme siecle, 4 vols., Paris (Reprint: Hildesheim: Olms, 1967) Lindberg, David C. (1968) "The Cause of Refraction in Medieval Optics," British lournalfor the History of Science 4,23-38 Lindberg, David C. (ed.) (1978) Science in the Middle Ages, Univ. of Chicago Press Lukasiewicz, Jan (1967) Aristotle's Syllogistic from the Standpoint of Modern Formal Logic, Oxford: Clarendon Lukasiewicz, Jan (1979) "Aristotle on the Law of Contradiction," in: Barnes, J. (ed.) Articles on Aristotle. vol. 3, London: Duckworth, 40-62 Mach, Ernst (1942) The Science of Mechanics (transl. by Thomas J. McCormack) La Salle: Open Court Mach, Ernst (1953) The Principles of Physical Optics (transl. by J. S. Anderson and A. F. A. Young) New York: Dover Machamer, Peter (1978) "Galileo and the Causes," in: Butts and Pitt 1978, 161- 180 Machamer, Peter (ed.) (1998) The Cambridge companion to Galileo, Cambridge: Cambridge Univ. Press MacLachlan, James (1976) "Galileo's Experiments with Pendulums: Real or Imaginary ," Annals of Science 33, 173-185 MacLachlan, James (1982) "Note on R. H. Naylor's Error in Analysing Experi• mental Data," Annals of Science 39,381-384 394 BIBLIOGRAPHY

MacLachlan, James (1990) "Drake against the Philosophers," in: Levere and Shea 1990,123-144 Mahoney, Michael (1973) The Mathematical Career of Pierre de Fermat, Prince• ton Univ. Press Maier, Anneliese (1949) Die Vorliiufer Calileis im 14.1ahrhundert, Rome: Edizioni di storia e letteratura Maier, Anneliese (1951) Zwei Crundprobleme der scholastischen Naturphilo• sophie, 2nd ed., Rome: Edizioni di storia e letteratura Maier, Anneliese (1952) An der Crenze von Scholastik und Naturwissenschaft, Rome: Edizioni di storia e letteratura Maier, Anneliese (1955) Metaphysische Hintergriinde der spiitscholastischen Naturphilosophie, Rome: Edizioni di storia e letteratura Maier, Anneliese (1958) Zwischen Philosophie und Mechanik, Rome: Edizioni di storia e letteratura Maier, Heinrich (1896-1900) Die Syllogistik des Aristoteles, Tiibingen: Laupp Marci, Marcus (1967) De Proportione motus, seu Regula Sphygmica ad celeritatem et tarditatem pulsuum ex illius motu ponderibus geometricis librato absque errore metiendam, Acta historiae rerum naturalium necnon technicarum. 3. (Czechoslovak Studies in the History of Science, Special issue 3; commemorating the 300th anniversary of Marci's death) Prague, 1967 Marshall, D. J., Jr. (1979) Prinzipien der Descartes-Exegese, Freiburg: Alber Matuszewski, Roman (1986) "On Galileo's Theory of Motion: An Attempt at a Coherent Reconstruction," International Studies in the Philosophy of Science 1,124 -141 McLaughlin, Peter (1993) "Descartes on Mind-Body Interaction and the Conser• vation of Motion," Philosophical Review 102: 155-182 McLaughlin, Peter (2000) "Force, Determination, and Impact," in: Stephen Gaukroger, John Schuster, and John Sutton (eds.) Descartes' Natural Philo• sophy, London: Routledge, 81-112 McLaughlin, Peter (2001) "Contraries and Counterweights: Descartes' Statical Theory of Impact," The Monist 84: 562-581 McMullin, Eman (ed.) (1967) Calileo Man of Science, New York: Basic Books Mersenne, Marin (1644) Cogitata physico-mathematica. In quibus tam naturae quam artis effectus admirandi certissimis demonstrationibus explicantur, Paris: Bertier Mersenne, Marin (1644) Universae geometriae, mixtaeque mathematicae synopsis, et bini refractionum demonstratarum tractatus, Paris: Bertier Mersenne, Marin (1945ff) Correspondance du P. Marin Mersenne (ed. by C. de Waard) Paris: Presses Universitaires Meyerson, Emile (1962) Identity and Reality, New York: Dover Micheli, G. (1992). "Guidobaldo del Monte e la meccanica," In L. Conti (ed.) La matematizzazione dell'universo, 87-104, Santa Maria degli Angeli - Assisi: Porziuncola. BmLIOGRAPHY 395

Milhaud, Gaston (1921) Descartes savant, Paris: Alcan (Reprint: New York: Garland, 1987) Mittelstrass, Jiirgen (1970) Neuzeit und Aufkliirung: Studien zur Entstehung der Neuzeitlichen Wissenschaft und Philosophie, Berlin: de Gruyter Mittelstrass, Jiirgen (1972) "The Galilean Revolution: The Historical Fate of a Methodological Insight," Studies in the History and Philosophy of Science 2, 297-328 Molland, George (1982) "The Atomisation of Motion: A Facet of the Scientific Revolution," Studies in History and Philosophy of Science 13, 31-54 Moody, Ernest A. (1951) "Galileo and A vempace: The Dynamics of the Leaning Tower Experiment," Journal of the History of Ideas 12, 163-193,375-422 Mouy, Paul (1934) Le Developpement de la physique cartesienne, 1646-1712, Paris: Vrin Murdoch, John E., and Edith Sylla (1978) "The Science of Motion," in: Lindberg 1978,206-264 Napolitani, Pier Daniele (1988) "La Geometrizzazione della realta fisica: il peso specifico in Ghetaldi e in Galileo," Bollettino di storia delle scienze mate• matiche 8, 139-237 Nardi, Antonio (1986) "Moto delle acque e gravi in caduta: Descartes, Toricelli, Mersenne, Bernoulli," Giornale citico dellafilosofia italiana 6, 331-365 Nardi, Antonio (1988) "La Quadratura della velocita," Nuncius 2,27-64 Naylor, Ronald H. (1974a) "Galileo and the Problem of Free Fall," British Jour• nal for the History of Science 7, 105-134 Naylor, Ronald H. (1974b) "Galileo's Simple Pendulum," Physis 16, 23-46 Naylor, Ronald H. (1974c) "The Evolution of an Experiment: Guibaldo del Monte and Galileo's Discorsi Demonstration of the Parabolic Trajectory," Physis 16, 323-346 Naylor, Ronald H. (1975) "An Aspect of Galileo' s Study of the Parabolic Trajec• tory," Isis 66, 394-396 Naylor, Ronald H. (1976a) Review of W. Wisan, "The New Sciences of Motion: A Study of Galileo' s De Motu Locali," Annali dell Istituto e Museo di Storia della Scienza 2,88-97 Naylor, Ronald H. (1976b) "Galileo: Real Experiment and Didactic Demonstra• tion," Isis 67, 398-419 Naylor, Ronald H. (1976c) "Galileo: The Search for the Parabolic Trajectory," Annals of Science 33, 153-172 Naylor, Ronald H. (1977a) "Galileo's Theory of Motion: Processes of Concep• tual Change in the Period 1604-1606," Annals of Science 34,365-392 Naylor, Ronald H. (1977b) "Galileo's Need for Precision: the 'Point' of the Fourth Day Pendulum Experiment," Isis 68,97-103 Naylor, Ronald H. (1979) "Mathematics and Experiment in Galileo's New Sciences," Annali dell'Istituto e Museo di Storia della Scienza 4, 55-63 Naylor, Ronald H. (1980a) "Galileo's Theory of Projectile Motion," Isis 71, 550-570 396 BffiLIOGRAPHY

Naylor, Ronald H. (1980b) "The Role of Experiment in Galileo's Early Work on the Law of the Fall," Annals of Science 37, 363-378 Naylor, Ronald H. (1982) "Galileo's Law of Fall: Absolute Truth or Approxim• ation," Annals of Science 39, 384-389 Naylor, Ronald H. (1983a) "Galileo's Early Experiments on Projectile Trajec• tories," Annals of Science 40,391-396 Naylor, Ronald H. (1983b) Letter to the Editor, Annals of Science 40,397 Neile, John (1669) "Hypothesis of Motion," in: The Correspondence of Henry Oldenburg, vol. 5 (ed. by A. R. and M. B. Hall) Univ. of Wisconsin Press, 1968,519-524. Ogawa, Yutaka (1989) "Galileo's Work on Free Fall at Padua: Some Remarks on Drake's Interpretation," Historia Scientiarum 37,31-49 Olschki, Leonardo (1927) Galileo und seine Zeit, Halle: Max Niemeyer (Vol. 3 of Olschki, Geschichte der neusprachlichen wissenschaftlichen Literatur) Oresme, Nicole (1966) De Proportionibus proportionum and Ad Pauca respicientes (ed. and transl. by Edward Grant) Univ. of Wisconsin Press Oresme, Nicole (1968a) Nicole Oresme and the Medieval Geometry of Motions (ed. and transl. by M. Clagett) Univ. of Wisconsin Press Oresme, Nicole (1968b) Le Livre du ciel et du monde (ed. by A. D. Menut and A. J. Denomy) Univ. of Wisconsin Press Osler, Margaret J. (1973) "Galileo, Motion, and Essences," Isis 64, 504-509 Osler, Margaret J. (1994) Divine Will and the Mechanical Philosophy. Gassendi and Descartes on Contingency and Necessity in the Created World, Cambridge Univ. Press. Overmann, Ronald James (1974) Theories of Gravity in the Seventeenth Century (diss.) Indiana University Palmerino, Carla Rita (1999) "Infinite Degrees of Speed. Marin Mersenne and the Debate over Galileo's Law of Free Fall," Early Science and Medecine 4: 269-328 Palter, Robert M. (ed.) (1969) Toward Modern Science, 2 vols., New York: Dutton Paul of Venice [Paulus Venetus] (1503) Summa philosophie naturalis, Venice (Reprint: Hildesheim: Olms, 1974) Piaget, Jean, and Garcia Rolando (1989) Psychogensis and the History of Science (transl. by H. Feider) Columbia Univ. Press Pitt, Joseph C. (1978) "Galileo: Causation and the Use of Geometry," in: Butts and Pitt 1978, 181-196 Planck, Max (1913) Das Princip der Erhaltung der Energie, Leipzig: Teubner Regis, Pierre Silvain (1691) Cours entier de philosophie, ou systeme general selon les principes de M. Descartes, Amsterdam (Reprint: New York: Johnson, 1970) Remmert, V. R. (1998). Ariadnefaden im Wissenschaftslabyrinth: Studien zu Galilei: Historiographie - Mathematik - Wirkung. Bern: Lang Renn, Jiirgen (1984) Galileo's Theorem of Equivalence, Part I: Galileo's Calculations, Preprint Freie Universitat Berlin: FUBIHEP 84/5 BffiLIOGRAPHY 397

Renn, Jiirgen (1988) "Galileo's Manuscripts on Mechanics: The Project of an Edition with Full Critical Apparatus of Mss. Gal. Codex 72," Nuncius 3, No.1, 193-241 Renn, Jiirgen (1989) "Einige Paradoxien des Geschwindigkeitsbegriffes bei Galilei," in: W. Muschik and W. R. Shea (eds.) Philosophie, Physik, Wissenschaftsgeschichte: Ein gemeinsames Kolloquium der TU Berlin und des Wissenschaftskollegs zu Berlin, 24-25, Aprill989, 30-67 Berlin: TUB• Dokumentation Renn, Jiirgen (1990a) "Galileo's Theorem of Equivalence: The Missing Keystone of his Theory of Motion," in: Levere and Shea 1990, 77-104 Renn, Jiirgen (1990b) "Die Rolle von Zeitfaktoren und Generationsdynamik flir die wissenschaftlichen Erfolge Galileis und Einsteins," in: P. H. Hof• schneider, and K. U. Mayer (eds.) Generationsdynamik und lnnovation in der Grundlagenforschung, Max-Planck-Gesellschaft, Berichte und Mitteilungen No. 3/90, 1990, 225-242 Renn, Jiirgen, Peter Damerow, and Simone Rieger (2000) "Hunting the White Elephant: When and How Did Galileo Discover the Law of Fall," Science in Context 13: 299-419 (also in J. Renn (ed.) 2001) Renn Jiirgen (ed.) (2001) Galileo in Context, Cambridge Cambridge Univ. Press Righini-Bonelli, M. L., and W. R. Shea (eds.) (1975) Galileo's New Science of Motion: Reason, Experiment, and Mysticism in the Scientific Revolution, New York: Science History Publications Robertson, George C. (1886) Hobbes, Edinburgh: Blackwood (reprint: Scholarly Press, 1970) Rogers, G. A. J. and Alan Ryan (eds.) (1990) Perspectives on Thomas Hobbes, Oxford: Clarendon Press, pp. 11-41. Rohault, Jacques (1672) Traite de Physique, Amsterdam Romo Feito, Jose (1985) La Fisica di Galileo. La problemdtica en torno a la ley de caida de los cuerpos, Seminario de Historia de las Ciencias, Bellaterra: Universidad Aut6noma de Barcelona Rose, Paul-Lawrence (1968) "Galileo's Theory of Ballistics," British Journalfor the History of Science 4, 156-159 Russell, Bertrand (1900) A Critical Exposition of the Philosophy of Leibniz, London: Allen and Unwin Russell, Bertrand (1903) The Principles of Mathematics, London: Allen and Unwin Sabra, A. I. (1967) Theories of Light from Descartes to Newton, London: Oldbourne Sarpi, Paolo (1996) Pensieri naturali, metafisici e matematici, (ed. by L. Cozzi and L. Sosio) Milan: Ricciardi Schemmel, Matthias (2002) "England's Forgotten Galileo: A View on Thomas Harriot's Ballistic Parabolas," in Jose Montesino and Carlos Solis (eds.) Largo campo difilosofare, Madrid: Fundaci6n Canaria Orotava de Historia de la Ciencia, 269-280 398 BIBLIOGRAPHY

Schmitt, Charles (1969) "Experience and Experiment: A Comparison of Zabarella's View with Galileo's in De Motu," Studies in the Renaissance 16: 80-138 Schuhmann Karl (1998) Hobbes: une chronique: cheminement de sa pensee et de sa vie, Paris: Vrin Schuster, John (1977) Descartes and the Scientific Revolution, 1618-1634: An Interpretation (diss.) Princeton University Schuster, John (1995), "Descartes Agonistes: New Tales of Cartesian Natural Philosophy," Perspectives on Science 3: 99-145. Schuster, John (2000) "Descartes opticien. The Construction of the Law of Refraction and the Manufacture of its Physical Rationales, 1618-1629," in St. Gaukroger, J. Schuster, J. Sutton (eds.) pp. 258-312 Scott, Joseph F. (1976) The Scientific Work of Rene Descartes (1596-1650), London: Taylor and Francis Scotus, Johannes Duns (1891) Opera omnia, Paris (Reprint: Westmead: Gregg, 1969) Segre, Michel (1980) "The Role of Experiment in Galileo's Physics," Archive for History of Exact Sciences 23, 227-252 Segre, Michel (1983) "Torricelli's Correspondence on Ballistics," Annals of Science 40, 489-499 Settle, T. B. (1996). Galileo's Experimental Research. Preprint 54, Berlin: Max Planck Institute for the History of Science. Settle, Thomas B. (1961) "An Experiment in the History of Science," Science 133,19-23 Settle, Thomas B. (1966) Galilean Science: Essays in the Mechanics and Dynamics of the "Discorsi" (diss.) Cornell University Settle, Thomas B. (1967) "Galileo's Use of Experiment as a Tool of Investiga• tion," in: McMullin 1967, 315-338 Settle, Thomas B. (1983) "Galileo and Early Experimentation," in: Aris et al. 1983, 3-20 Settle, Thomas B. (1987) "The Tartaglia Ricci Problem: towards a Study of the Technical Professional in the 16th Century," in: Cultura, scienze e tecniche nella Venezia del cinquecento (Atti del convegno internazionale di studio Istituto Veneto di Scienze, Lettere ed Arti) Venice, 217-226 Shapere, Dudley (1974) Galileo. A Philosophical Study, Univ. of Chicago Press Shapiro, Alan E. (1973) "Kinematic Optics. A Study of the Wave Theory of Light in the Seventeenth Century," Archive for History of Exact Sciences 11, 134-266 Shea, William R. (1972a) Galileo's Intellectual Revolution: Middle Period, 1610-1632, New York: Science History Publications Shea, William R. (1975) "Trends in the Interpretation of Seventeenth Century Science," Introduction to Righini-Bonelli and Shea 1975,1-18 Shea, William R. (1977) "Galileo and the Justification of Experiments," in: Robert E. Butts and Jaakko Hintikka (eds.) Historical and Philosophical Dimensions of Logic, Methodology and Philosophy of Science, Dordrecht: BmLIOGRAPHY 399

Reidel, 1977 (Part Four of the Proceedings of the Fifth International Con• gress of Logic, Methodology and Philosophy of Science, London, Ontario, Canada, 1975) University of Western Ontario Series in Philosophy of Science 12, 81-92 Shea, William R. (1978) "Descartes as a Critic of Galileo," in: Butts and Pitt 1978, 139-159 Shea, William R. (1983b) "Do Historians and Philosophers of Science Share the Same Heritage?" Introduction to Shea 1983a, 3-20 Shea, William R. (1983c) "The Galilean Geometrization of Motion: Some Historical Considerations," in: Shea 1983a, 51-59 Shea, William R. (1991) The Magic of Numbers and Motion. The Scientific Career of Rene Descartes, Canton, MA: Watson International. Shea, William R. (ed.) (1983a) Nature Mathematized (papers deriving from the Third International Conference on the History and Philosophy of Science, Montreal, Canada, 1980) Dordrecht: Reidel (Western Ontario Series in the Philosophy of Science 20) Shea, William R., and Neil S. Wolf (1975) "Stillman Drake and the Archime• dean Grandfather of Experimental Science," Isis 66, 397- 400 Sigwart, Christoph (1904) Logik, Tiibingen: Mohr Slowik, Edward (2002) Cartesian Spacetime: Descartes' Physics and the Relational Theory of Space and Motion, Dordrecht: Kluwer. Smith, A. Mark (1987) "Descartes Theory of Light and Refraction: A Discourse on Method," Transactions of the American Philosophical Society 77, No.3, 1-92. Sorabji, Richard (1988) Matter, Space and Motion Theories in Antiquity and Their Sequel, Cornell Univ. Press Sorell, Tom (ed)(1996), The Cambridge Companion to Hobbes, Cambridge: Cambridge Univ. Press, 1996 Soto, Domingo de (1554) Summulae, Salamanticae (Reprint: Hildesheim: Olms, 1980) Souffrin, Pierre (1986) "Du Mouvement uniforme au mouvement uniformement accelere," Bollettino di storia delle scienze matematiche 6,135-144 Souffrin, Pierre (1990) "La quantification du mouvement chez les scolastiques," in: J. Quillet (ed.) Autour de Nicole Oresme, Paris: Vrin, 85-118 Souffrin, Pierre (1992) "Le concept de vitesse d'Aristote it Galilee," Revue d'histoire des sciences 45: 231-267. Souffrin, Pierre (1997) "Velocitas totalis. Enquete sur une denomination pseudo• medievale," in S. Caroti and P. Souffrin (eds.) La nouvelle physique du XNe siecle, Florence: Olschki, 251-276 Souffrin, Pierre, and J. P. Weiss (1988) "Le Traite des Configurations des Qualites et des Mouvements: remarques sur quelques problemes d'interpreta• tion et de traduction," in: P. Souffrin and A. Ph. Segonds (eds.) (1988) Nicolas Oresme. Tradition et innovation chez un intellectuel du XIVeme siecle, Paris: Les Belles Lettres, 125-134 400 BffiUOGRAPHY

Souffrin, Pierre, and Jean-Luc Gautero (1992) "Note sur la demonstration 'mecanique' du theoreme de l'isochronisme des cordes du cercle dans les 'Discorsi' de Galilee," Revue d'histoire des sciences et de leurs applications 45: 269-280. Specht, Rainer (1966) Commercium mentis et corporis. Uber Kausalvorstel- lungen im Cartesianismus, Stuttgart-Bad Cannstatt: Frommann-Holzboog Spinoza, Baruch (1925) Opera omnia, Heidelberg: Winters Strawson, Peter (1952) Introduction to Logical Theory, London: Methuen Suarez, Franciscus (1856fO Opera omnia, Paris Sylla, Edith (1973) "Medieval Concepts of the Latitude of Forms: The Oxford Calculators," Archives d'histoire doctrinales et litteraire du moyen age 40, 223-283 Sylla, Edith (1986) "Galileo and the Oxford Calculatores: Analytical Languages and the Mean-Speed Theorem for Accelerated Motion," in: Wallace 1986,53- 108 Szabo, Istvan (1977) Geschichte der mechanischen Prinzipien, Basel: Birkhiiuser Takahashi, K. I. (1993a) "Galileo's Labyrinth: His Struggle for Finding a Way out of His Erroneous Law of Natural Fall. Part I," Historia Scientarum 2: 169-202 Takahashi, K. I. (1993b) "Galileo's Labyrinth: His Struggle for Finding a Way out of His Erroneous Law of Natural Fall. Part 2," Historia Scientarum 3: 1- 34 Taliaferro, R. Catesby (1964) The Concept of Matter in Descartes and Leibniz, Notre Dame Mathematical Lectures 9, Notre Dame Tannery, Paul (1891) "Neuflettres inedites de Descartes it Mersenne," Archiv fUr Geschichte der Philosophie 4, 529-556 Tartaglia, Niccolo (1537) La Nova scientia ..., Venice Tartaglia, Niccolo (1546) Quesiti, et inventioni diverse ..., Venice Tartaglia, Niccolo (1556a) La Prima parte del general trattato di numeri, et misure ..., Venice Tartaglia, Niccolo (1556b) La Seconda parte del general trattato di numeri, et misure ..., Venice Tartaglia, Niccolo (1959) Quesiti et inventioni diverse, ed. by A. Masotti. Brescia: Ateneo Tartaglia, Niccolo (1984) La nova scientia, Bologna: Forni Taton, Rene (1975) "The Mathematical Revolution of the Seventeenth Century," in: Righini-Bonelli and Shea 1975,283-290 Tenneur, Jacob Alexandre (1649) De Motu naturaliter accelerato tractatus ... , Paris Thuillier, Pierre (1983) "Galilee et l'experimentation," La Recherche 14, no. 143, 442-454 Toletus, Franciscus (1589) Commentaria, una cum Quaestionibus in Universam Aristotelis Logicam, in Opera omnia, Cologne, 1616-17 (Reprint: Hildes• heim: Olms, 1985) Torricelli, Evangelista (1644) De Motu Gravium, in: Opera di Evangelista Torricelli, vol. 2 (ed. by G. Loria and G. Vas sura) Faenza: Montanari, 1919 BmLIOGRAPHY 401

Torrini, Maurizio (1979) Dopo Galileo. Una polemica scientifica (1684-1711), Florence: Olschki Tuck, Richard (1988) "Hobbes and Descartes," in G. A. J. Rogers and Alan Ryan (eds.) Perspectives on Thomas Hobbes, Oxford: Clarendon Press, 11-43 van Berkel, Klaas (2000) "Descartes's Debt to Beeckman: Inspiration, Cooperation, Conflict," in St. Gaukroger, J. Schuster, and J. Sutton (eds.) pp.46-59. Vergil [Publius Vergilius] (1972-1973) The Aeneid of Vergil (ed. by R. D. Williams) London: Macmillan Viviani, Vincenzo (1674) Quinto libro degli Elementi di Euclide, ovvero scienza universale delle proporzioni, spiegata colla dottrina del Galileo, Florence Viviani, Vincenzo (after 1638) Notes on Mechanical Problems, Florence: Biblio• teca Nazionale Centrale, Florence, Manuscript, Ms. Gal. 227 Voss Stephen (ed.) (1993) Essays on the Philosophy and Science of Rene Descartes, Oxford Univ. Press. Wallace, William A. (1971) "Mechanics from Bradwardine to Galileo," Journal of the History of Ideas 32: 15-28 Wallace, William A. (1977) Galileo's Early Notebooks: The Physical Questions, Univ. of Notre Dame Press Wallace, William A. (1978) "Galileo Galilei and the Doctores Parisienses," in: Butts and Pitt 1978, 87-138 Wallace, William A. (1981) Prelude to Galileo. Essays on Medieval and Sixteenth-Century Sources of Galileo' s Thought, Dordrecht: Reidel (Boston Studies in the Philosphy of Science 62) Wallace, William A. (1984) Galileo and His Sources. The Heritage of the Collegio Romano in Galileo's Science, Princeton Univ. Press Wallace, William A. (1986b) "Reinterpreting Galileo on the Basis of His Latin Manuscripts," in: Wallace 1986a, 3-28 Wallace, William A. (1990) "The Dating and Significance of Galileo's Pisan Manuscripts,;' in: Levere and Shea 1990, 3-50 Wallace, William A. (ed.) (1986a) Reinterpreting Galileo, Catholic Univ. of America Press (Studies in Philosophy and the History of Philosophy 15) Watanabe, Hiroshi (1974) "On the Divergence of the Concept of Motion in the Collaboration of Beeckman and Descartes," in: Proceedings no. 2, XIVth International Congress of the History of Science, Tokyo and Kyoto, 19-27, August, 1974, Science Council of Japan, 338-340 Weinrich, Klaus (1998), Die Lichtbrechung in den Theorien von Descartes und Fermat, Stuttgart: Steiner. Weizsacker, Carl Friedrich von (1952) The World View of Physics, London: Routledge Wertheimer, Max (1945) Productive Thinking, New York: Harper Westfall, Richard S. (1966) "The Problem of Force in Galileo's Physics," in: C. L. Golino (ed.) Galileo Reappraised, Univ. of California Press, 65-95 Westfall, Richard S. (1971) Force in Newton's Physics: The Science of Dynam• ics in the Seventeenth Century, London: Elsevier 402 BffiUOORAPHY

Westfall, Richard S. (1972) "Circular Motion in Seventeenth-Century Mechan• ics," Isis 63, 154-189 Wigner, Eugene P. (1967) Symmetries and Reflections, Bloomington: Univ. of Indiana Press Wisan, Winifred Lovell (1974) "The New Science of Motion: A Study of Galileo's De Motu Locali," Archive for History of Exact Sciences 13, 103- 306 Wisan, Winifred Lovell (1977) "Mathematics and Experiment in Galileo's Science of Motion," Annali dell'Istituto e Museo di Storia della Scienza 2, 149-160 Wisan, Winifred Lovell (1978) "Galileo's Scientific Method: A Reexamination," in: Butts and Pitt 1978, 1-58 Wisan, Winifred Lovell (1981) "Galileo and the Emergence of a New Scientific Style," in: Evandro Agazzi, David Grunder, Jaakko Hintikka (eds.) Pro• ceedings of the 1978 Pisa Conference on the History and Philosophy of Science, vol. 1 Dordrecht: Reidel Wisan, Winifred Lovell (1983) "Galileo's De Systemate Mundi and the New Mechanics," in: Paolo Galluzzi (1983) 41-47 Wisan, Winifred Lovell (1984) "Galileo and the Process of Scientific Creation," Isis 75, 269-286 Wittgenstein, Ludwig (1929) "Some Remarks on Logical Form," in: Copi and Beard 1966 Wittgenstein, Ludwig (1972) Tractatus Logico-philosophicus (ed. and transl. by D. F. Pears, and B. F. McGuiness) New York: Humanities Press Wohlwill, Emil (1883-1884) "Uber die Entdeckung des Beharungsgesetzes," ZeitschriftfUr VOikerpsychologie und Sprachwissenschaft 14 (1883) 365-410 and 15 (1884) 70-135,337-387 Wohlwill, Emil (1909) Galilei und sein KampffUr das kopernikanische Weltbild, Hamburg: Leopold Ross Wolff, Michael (1978) Geschichte der Impetustheorie, Frankfurt: Suhrkamp Wolff, Michael (1987) "Impetus Mechanics as a Physical Argument for Coperni• canism. Copernicus, Benedetti, Galileo," Science in Context 2,215-256 Wolff, Michael (1988) "Hipparchus and the Stoic Theory of Motion," in J. Barnes and M. Mignucci (eds.) Matter and Metaphysics (Fourth Symposium Hellenicum) Bibliopolis, 471-545 Working-Group (1996). Pilot Study for a Systematic PIXE Analysis of the Ink Types in Galileo's Ms. 72: Project Report No.1. Preprint 54. Berlin: Max Planck Institute for the History of Science Wunderlich, Herbert (1977) Kursiichsische FeldmejJkunst, artilleristische Richt• verfahren und Ballistik im 16. und 17. lahrhundert, Berlin (GDR): VEB Deutscher Verlag der Wissenschaften Wundt, Wilhelm (1906-08) Logik; eine Untersuchung der Prinzipien der Erkennt• nis und der Methoden der wissenschaftlichen Forschung, 3 vols., 3rd ed., Stuttgart: Enke BmLIOGRAPHY 403

Wundt, Wilhelm (1910) Die Prinzipien der mechanischen Naturlehre (originally 1866 as Die Physikalischen Axiome und ihre Beziehung zum Kausalprinzip). Stuttgart: Ferdinand Enke Yokoyama, Masahiko (1972) "Origins of the Experiment of Impact with Pendu• lums," Japanese Studies in the History of Science 11: 67-72 Young, John (1967) "A Note on Falling Bodies," The New Scholasticism 41: 465-481 Zarka, Yves Charles (1987) "La matiere et la representation: Hobbes lecteur de la Dioptique de Descartes," in Actes du Colloque CNRS sur Descartes du Juin 1987, Paris: Vrin Index

Adam, Charles: 25 Cassirer, Ernst: 75 Adler, C. G.: 143, 151 Castelli, Benedetto: 164 Aiton, E.J.: 69, 103 catenary (see chain line): 160-162, Albert of Saxony: 184 166, 208, 211, 266-268, 273 Alberti, Leone Battista: 142 causal equivalence: 72-76 Alessio, F.: 124 causal law: 74, 76, 77 Alhazen (Ibn al-Haytham), 114 Cavalieri, Bonaventura: 6, 237, 241, Allaire, E.: 85 251, 284 Amsterdam, 10, 36 Cavendish, Charles: 91, 124, 125 Andres, Giovanni: 187 Caverni, Raffaello: 140, 226 angle of incidence: 113-123, 130 chain line (see catenary): 160-162, angle of reflection: 114-116 166, 208, 211, 266-268, 273 angle of refraction: 113, 116, 119- Chalmers, A.: 164, 264 123 Choliere, M.: 153, 270 Apollonius: 163 Clagett, M.: 10, 18, 19, 21, 23, 87 Aquinas: Thomas: 82 Clavelin, M.: 135, 140, 239, 242, Archimedes: 16, 40, 141, 162, 163, 258, 270 195, 275 Clerselier, Claude: 37, 99, 108, 121, Arend, G.: 153 131, 281, 282, 283 Ariew, R.: 137 Coffa, J. A.: 264 Aristotelian proportions: 6-7, 16-20 Collegio Romano: 148, 166 Aristotle, conception of velocity: 15- collision, surface of: 98 17, 20, 143, 258; on contraries: comedy of errors: 10, 28, 46, 69 88-89, 155-156; logic: 82-84, 86; composition of determinations: 82, treatment of falling bodies: 137- 95, 113-130 146, 155-157, 258, 269-270, 275- composition of motions: 80, 110- 276 112, 114, 136, 154, 219, 277, ars inveniendi: 81 281; applied to impetus: 223-235, balance: 100, 101, 106, 154, 239, 236, 266; arithmetic: 117; natural 268 and impressed: 157, 220; uniform Barbin, E.: 153, 270 and decelerated: 220-222; vertical Beeckman, Isaac: I, 6, 9-69, 141, and horizontal: 157, 160, 164, 168, 275 268, 273, 276 Benedetti, Giovanni Battista: 142, compounded proportion:17, 145, 154, 267 202, 260 Biagioli, M.: 210 conceptual system, argument within: Blay, M.: 241, 251 12, 107; inconsistence of: 89; Bourdin, Pierre: 112, 132 transformation of: 1-7, 66 Brandt, F.: 125 conceptualization: 4, 46-49, 52, 53, Breda: 25 55, 58, 64, 65, 66, 71, 101, 145, Buridan, Jean: 23,41 159, 168, 208, 254, 269, 281, Buttner, J.: 285 283 calculus of contrary predicates: 71, 86 condemnation of Galileo: 140 calculus of material propositions: 85 configuration of qualities and Camerota, M.: 139, 146 motions: 17-20, 260; later use of: Cardano, Giralomo: 153 49, 58, 87, 166, 179, 194, 207- Carnap, Rudolf: 74 208, 254-255, 273, 274 Casper, B. M.: 142 congruence, measurement by: 74-76 406 INDEX conservation laws: 72. 73. 74. 76. 232. 235. 252 77. 94. 280; Descartes': 77 -81. equipollence: 74. 75. 76 93. 94. 109. 113. 130; scalar: 78; Euclid: 13. 206 vector: 78 Eudoxos: 13 conservation laws: 72-78. 81. 93. 94. Euler. Leonhard: 53. 69 108. 112. 116. 130. 279 Eustace of St. Paul: 90 conservation of (scalar) motion: 79, experiment. Guidbaldo and Galileo's: 117. 125. 281. 283 4. 158-164, 179. 208, 211. 266. conservation of matter: 73. 78. 79, 272. 100 extension of a subject: 18; interpreted conservation principles: 71, 73. 79. as space: 28, 33. 34. 42. 56, 189. 81 191; interpreted as time: 37 56, contraries. exhaustive: 85. 86; with 189. 191-193. 254 intermediates: 85. 86. 87, 88, 89, extremal principle: 100 91. 98 Fabri, Honore: 110 contraries: 7. 82-93. 101, 102. 112, false value (mathematical technique): 154-156, 268 196 cosmological perspective, Galileo's: Favaro. Antonio: 169. 197 263-264 Feito. R.: 168, 188, 190 Costabel. P.: 98. 110. 216, 305 Fermat, Pierre: 80, 110. 112. 113, Coulter. B.: 143. 151 120. 121, 122, 123, 124. 131. Cronin. T.: 90 132, 282 Crowe. M.: 110 Ferrier. Jean: 113 De Soto. Domingo: 90 Fine. Oronce: 90 deflection into the horizontal: 182, Finocchiaro, M.: 244 185,213. 214, 216. 224 Florence: 140, 177. 180. 183,215, deflection into the horizontal: 185 217 degree of velocity: 166. 169. 171. forces of cohesion: 107 175. 179-181. 190, 193, 194, Franklin. A.: 167 198. 200. 207. 231. 244. 245. Fredette. R.: 139. 140. 146. 152. 246. 248. 250. 253, 255, 271 159, 237 Descartes. Rene: 1-7.9-132. 137- Freudenthal. Gad: 159, 295 141, 164, 168, 171. 244. 274, Freudenthal, Gideon : 76. 77, 110 275-278. 279-283 Gabbey, A.: 37. 92. 97, 99, 105. Des Chene, D.: 90 109. 113, 132 difform quality: 19. 254 Galileo Galilei: 1-7, 10. II. 17, 19. difformly difform quality: 21 20. 24. 36. 37, 45. 57. 59. 60. 62. Digby. Kenelm: 57 65. 66, 69. 91, 135-278. 279. Dijksterhuis. E. J.: 10. 110. 137, 281, 284-286 140, 231, 244, 251. 262. 264. Galluzzi, P.: 15. 139, 140. 146, 166, 270 169, 175, 176, 201, 231, 241. Diodati, Elia: 236 242. 248, 249, 251 Dordrecht: 10 Gautero, J .-L.: 176 Double Distance Rule: 175-180. 193, Geach, P.: 83 207,209. 212, 213. 238. 239, Giuntini. L.: 168, 173 255 Giusti. E.: 139, 142. 146, 152. 242. double proportion: 20 258 Drabkin, I. E.: 139. 141. 142, 153, Golius, Jacobus: 113 154, 156 gravity. theory of: 11. 35. 37-45. 47. Drake. S.: 135-248, 270 66. 69, 275-276. 280 Duhem. Pierre: 17, 18, 149 Guidobaldo del Monte: 4, 142, 158- elevation: 210 164, 179. 203, 208. 211. 266. Equal Amplitude Theorem: 227.229, 272 INDEX 407

Guiducci, Mario: 169 Jacobus de Sancto Martino: 21 gunner's problem: 209, 216, 216, Joyce, W. B and A.: 120 223, 224, 226, 235, 236 Kant, Immanuel: 73, 75, 85 half proportion: 14, 171, 191 Keynes, John Neville: 127 Hall, A. R.: 153, 211, 244 kinematics: 3, 25, 110, 187, 188, Hanson, N. R.: 10: 27 238, 258, 270, 273 Harriot, Thomas: 113, 118, 217 Kneale, W. and M.: 127 Heninger, S. K.: 90 Koyre, Alexandre: 10, 11, 27, 28, 33, Hill, D. K.: 163, 181, 211, 213, 216, 53, 62, 68, 140, 284 232, 233 Kuhn, Thomas: 258 Hipparchus: 148 La Fleche: 90 Hobbes, Thomas: 80, 91, 106, 109, latitude of forms: 17-21, 87-88 111, 112, 117, 120, 124, 125, law of noncontradiction: 81-86 126, 127, 132 law of reflection: 113, 116, 122, 281- Hollow Paradox: 198, 202 283 Hooper, W.: 139, 140 law of refraction: 112-118, 130, 281 Horstmann, F.: 124 law of the excluded middle: 86 Humphreys, W. c.: 205 law of the lever: 100,-102 Huygens, Constantyn: 46, 113, 124, laws of nature: 76, 79, 93 280 Lefevre, W.: 77 hydrostatics: 40, 141, 142, 144, 145, Leibniz, Gottfried Wilhelm: 32, 37, 156, 204, 205, 270, 276 73, 74, 75, 90, 97, 112 Ibn al-Haytham (Alhazen): 114 Length-Time-Proportionality: 136, impact rules, in classical mechanics: 175, 176, 201, 205, 206, 247, 94-95, 128; in Descartes: 4, 96, 256, 257, 261 97, 99, 100-108, 130 Libri, Guillaume: 159 impetus: 22-24, 136, 274, 275; as linguistic representation: 95, 131 cause and effect of projectile load: 100-102, 104 motion: 209, 223, 236; Descartes' logic of contraries: 81-92, 97; use of: 34, 35, 41, 48, 49, 54, 56, Descartes use of: 6, 72, 92-94, 57,66, 112, 117, 119; Galileo's 130; Galileo's use of: 145, 152- use of: 136, 141, 174, 184, 185, 157, 163, 178, 266, 268, 273, 187, 22-236, 245, 251-253, 256, 277 261, 265, 267, 271-275 Lukasiewicz, J.: 82, 83 impressed force (see impetus): 148- Maier, Anneliese, 15, 17, 18, 19, 20, 151, 154-57, 160, 162, 175, 211, 21, 22, 23, 24, 87, 89, 149 262, 268, 271-277, 284 Maier, Heinrich: 82 inclined plane: 110, 136, 139 154, Malcolm, N.: 125, 334, 340 155, 157, 159 Marci, Marcus, 91, 92, 101 integration: 6, 52, 237 material spirits, 38, 40, 66 intensity of a quality: 17 Maximum Range Theorem, 224, 225, intensive qualities: 17, 75 229, 251 interaction, fundamental: 71-74, 78, Mayer, Robert: 76 79, 93-94, 98, 102, 116, 117 McLachlan, J.: 216, 233 invariance: 73, 74, 75, 76, 78 McLaughlin, P.: 104, 109, 124, 126 inverse sine law: 7, 96, 112, 119 Mean Proportional Form of the Law of Isochronism of Chords: 136, 175, Fall, 205, 213 178, 181, 193, 199, 201, 202, mean proportional, 14 205, 206 Medici, Antonio de', 210, 211, 213, Isochronism of Projectile Motion: 223 210, 211, 216, 223 Mersenne, Marin: 33 112, 120, 124, isochronism of the pendulum: 158 125; letters to: 10, 24, 35, 36, 43, Italy: 141 45, 60, 61, 62, 68, 106, 109, 110, 408 INDEX

116, 121, 122, 123, 126, 127, contrariety: 5, 92, 93 96-97, 107, 128, 132, 137, 138, 275 112-113; reduction of complex to Merton College, 19 direct: 72, 115, 116 Merton Rule, 19-20, 166, 178, 194, Oresme, Nicole: 12, 15-24, 56, 87, 237-239, 242-244, 247, 249, 250. 166; impetus theory of: 22-24, 41 253, 255 overall velocity: 147, 178, 179, 187, Meyerson, Emile: 73 189, 192, 193, 197,238, 239, Micanzio, Fulgenzio, 135 241,244,246,255,261, 274 minimum of motion, 26, 27, 29, 31, Oxford: 19, 87 54 Padua: 140, 158, 164, 180 minimum of space, 38 parallelogram rule: 72, 95, 110-111, minimum of time, 26, 27 122, 123, 130, 131, 283; and Mirandum Paradox, 198, 200, 202, projection on a line: 121-122; and 249, 256-258, 260, 273 scalar motion: 80, 109, 112, 118, Mittelstrass, J.: 262 124 127; explained by Fermat: modes of matter, 79 110-111; physical interpretation modes of modes, 126 of: 110-112,115,121,123,124 Moerbeke, William of: 15 Paris: 37, 87, 159, 161 Molesworth, William: 124 perfectly mixed motion: 92 momentum: 15,31,38,73,77,78, Piaget, Jean: 258 94,95, 107, 120, 130 Pisa: 139 More, Henry, 71, 81 Planck, Max: 78 Mydorge, Claude: 113, 117, 118, point of equilibrium in fall: 39, 40, 121, 124 43 Napolitani, P.: 145, 258 Principle of Least Modal Mutation: Nardi, A.: 239 107 natural motion: 22, 142-149, 152, projection (geometry): 121, 122, 123 153, 157, 158, 160, 163-167, Proportion Proof: 198, 200, 202, 243 173, 174, 198, 263, 264, 271, proportion of proportions: 171, 173 272, 276 Pythagorean tetrads: 90 Naylor, R.: 140, 159, 163, 181, 188, quantity of a quality: 18 208,216, 217, 218, 232, 233, quantity of motion: 4, 26, 30, 33, 44, 234 49, 56, 63, 79, 95, 96, 102, 104, Neile, William: 108 114, 281; conservation of: 73, 79, New Proof Technique: 238, 244, 247 96, 98, 99, 108, 130 Newton, Isaac: 47,48, 49, 52, 77, range of incompatibility: 85, 86, 93 135, 137, 279 refraction of a material partic1e:120 Nicholas, R.: 164, 264 Renn, J.: 62, 140, 142, 159, 162, oblique collision: 72, 97, 106, 128, 164, 166, 171, 173, 196, 208, 130, 131, 282 226, 229, 235, 258, 268 Odd Number Rule, 165, 173 Rohault, Jacques: 121, 131,281, 283 Ogawa, Y.: 239 Russell, Bertrand: 112 Oldenburg, Henry: 108 Sabra, A. I.: 113, 119, 121, 122 Olschki, L.: 141 Sagredo: role in dialogue: 237 one-to-one correspondence of degrees Salviati: role in dialogue: 237 of speed: 75, 237, 241, 242, 244, Sarpi, Paolo: 158, 159, 162; 246, 248, 250 Galileo's letter to: 158, 165, 168, opposition, double: 97-98, 102- 104; 169, 170, 171, 172, 173, 174, line of: 97, 115, 116, 122, 282; 175, 176, 178, 181, 182, 187, oblique: 97; of determinations: 197, 207, 223, 234, 244, 245, 102, 105, 117; of motion and rest: 246, 271 97-98, 104; ontology of: 82, 90; Scalar Addition Rule: 226, 234 physical represented by logical Schemmel, M.: 217 INDEX 409

Scholasticism: 82 third proportional: 213, 227, 228, Scholasticism: 82, 91, 138, 139, 280 229 Schuhmann, K.: 125, 330, 334 three-body collision: 128 Schuster, J.: 10,27,67, 109, 113, time proportionality of velocity: 118 190, 191, 192, 193, 198-200 scientific world view: 77 Toletus, Franciscus: 90 Scotus, John Duns: 82 Torricelli, Evangelista: 6, 241, 251, Settle, T.: 140, 141, 147, 151, 239, 284, 285, 286 242, 270 total motion: 27, 169 Shapiro, A.: 124 total qUality: 20 Shea, W. R.: 10, 27, 62, 138 total velocity: 59 Sigwart, Christoph: 84, 85 transversal impetus: 265 Snel, Willebrord: 113, 118 treatment of falling bodies: 142 Sorabji, R.: 142 triangular representation of uniformly Soto, Domingo de: 90 difform qualites: 50, 52, 54, 178, Souffrin, P.: 142, 176, 201, 249, 258 179, 189, 191, 192, 237, 244, space proportionality of velocity: 246, 254, 274 190, 191, 192, 244-246, 248 triple proportion: 14 Specht, R.: 132 Tuck, R.: 125 Spinoza, Baruch: 99, 102, 109, 131 uniform quality: 19 square of oppositions: 90 uniformly difform quality: 18 state of motion: 74, 79, 80, 93 vacuum, existence of: 43, 44, 52, 93; statics: 15, 91, 92, 96, 100, 101, free fall in: 10, 27, 29, 31, 32, 33, 102, 106, 110, 141, 145, 147, 34, 39, 40, 41, 43, 44, 45, 51 154, 155, 156, 157, 169, 175, 136, 143-144, 269, 270, 273, 267 276; motion in: 25, 32, 34, 39, Strawson, P.: 82, 87 54, 66, 142-144, 156, 269 struggle (of contraries): 84, 85, 91, Varignon, Pierre: 241 136 Veere: 10 Sublimity Theorem: 213, 216, 219, Vergil: 244, 293 225, 227, 228, 251 Vinta, Belisario: 180 sublimity: 213, 216, 219, 226, 228, Viviani, Vincenzo: 140, 197, 265, 229, 231, 232, 235 285 superposition: 6, 136, 211, 217, void (see vacuum): 43, 45, 142, 144, 236, 251, 261, 268, 277 156, 269 Sylla, E.: 166, 171, 179, 181, 188, Waard, Comelis de: 25,62 239 Wallace, W.: 139, 140, 148, 166-167 symmetry of trajectory: 138, 160, Wallis, John: 110 211-212, 219, 220, 271, 272 Weizsiicker, R. von: 77 Szab6, I.: 137 Wertheimer, Max: 164 Takahashi, K. I.: 140, 170 Westfall, R.: 100 Tannery, Paul: 62 Wigner, E. P.: 76 Tartaglia, Niccolo: parabolic Wisan, W.: 140 166, 169, 170, 175, trajectory: 153, 154, 157, 171, 176, 178, 180, 181, 182, 188, 212, 224, 227, 267; teacher of 197, 200, 205, 216, 226, 232, mathematics: 141, 196 237, 241, 242, 249, 255, 258, Tenneur, Jacob Alexandre: 244 264 tertium non datu": 87 Wittgenstein, Ludwig, 84, 85 Theorem of Equivalence: 235 Wohlwill, Emil: 137, 140, 251, 262 theory of matter, Descartes': 71, 79, Wolff, M.: 22, 148, 163, 164 92 Wunderlich, H.: 153 third motion (of comparison): 182, Wundt, Wilhelm: 73, 85 187, 195, 196, 19-200, 260 Young, J.: 142 Index locorum

Descartes AT II, 385-386: 45 AT II, 386: 45 AT II, 387: 138 Letters AT II, 544 (to Debeaune): 44, 300 AT III, 36-38 (to Mersenne): 45,300 AT 1,38-52 (from Ferrier): 113 AT III, 79 (to Mersenne): 45,301 AT I, 53-59 (to Ferrier): 113 AT III, 105-119 (for Bourdin): 132 AT I, 69-75 (to Mersenne): 33 AT III, 111-113: 345-346 AT 1,71-73: 34-35,47,54,58,63, AT III, 163 (to Mersenne): 115,346 294-295 AT III, 250-251 (to Mersenne): 115, AT I, 73: 35,60 347 AT I, 75: 62 AT III, 251: 90,132 AT I, 82-104 (to Mersenne): 33 AT III, 287-292 (from Hobbes): 124 AT I, 88-91: 48,296-297 AT III, 288-291: 334-335 AT 1,91: 33 AT III, 288: 125 AT I, 92-93: 43 AT III, 289: 106 AT I, 221-222 (to Mersenne): 43 AT III, 291: 117 AT 1,222: 36 AT III, 300-313 (from Hobbes): 124 AT I, 226-232 (to Mersenne): 33 AT III, 303-312: 335-338 AT 1,230-231: 58,61,297 AT III, 304: 124 AT I, 259 (to Mersenne): 113 AT III, 313-318 (for Hobbes): 124 AT I, 304-305 (to Mersenne): 36, AT III, 318-333 (for Hobbes): 124 298 AT III, 322-326: 338-340 AT I, 335-336 (to Huygens): 113 AT III, 324: 126 AT I, 354-363 (from Fermat): 121 AT III, 324-325: 126 AT I, 357-359: 320-321 AT III, 341-348 (from Hobbes ): 124 AT I, 359: 122-123 AT III, 342-348: 340-343 AT II, 450-454 (for Fermat) 121 AT III, 344: 109, 111, 112 AT II, 451-452: 321-322 AT III, 344-5: 109, 112 AT II, 452: 116 AT III, 353-357 (for Hobbes): 124 AT I, 463-474 (from Fermat): 110- AT III, 354-356: 127, 344-345 111, 121 AT III, 648-655 (to Mersenne): 128 AT I, 464-474: 322-327 AT III, 648-652: 347-349 AT I, 466: 122 AT III, 651-652: 129 AT I, 468: 110-111 AT III, 805-814 (to Huygens): 46 AT I, 468-70: 110-111 AT III, 807-808: 281, 377 AT I, 470: 123 AT IV, 183-187 (to Clerselier): 312- AT I, 473-474: 123 313 AT II, 15-23 (to Mydorge): 121 AT IV, 185: 99, 108 AT II, 17-21: 328-329 AT IV, 185-186: 99 AT II, 19-20: 117 AT II, 194 (to Mersenne): 137 AT II, 336 (to Mersenne): 137 Writings AT II, 370 (to Morin): 128 AT II, 380-402 (to Mersenne): 45 AT VI, 93-106 (Dioptrics): 112-120 AT II, 380: 45, 138 AT VI, 93-101: 314-319 AT II: 380-387: 138-141, 274-278, AT VI, 94: 114, 115 350-351 AT VI, 94-5: 115 INDEXLOCORUM 411

AT VI, 95-97: 132 EN I, 269: 143, 145 AT VI, 97: 118 EN I, 270: 145 AT VI, 100: 120 EN I, 272: 144, 270 AT VI, 591-92 (Dioptrics, Latin): 132 EN I, 273: 147, 152 AT VII, 40 (Meditations): 79 EN I, 277: 146 AT VII, 229: 109 EN 1,281: 144 AT VIII, 24 (Principles): 78 EN I, 299: 164 AT VIII, 49: 93, 97 EN I, 302: 152 AT VIII, 61-70: 305-311 EN I, 305: 164 AT VIII, 61: 79 EN I, 310: 150 AT VIII, 62: 93 EN I, 315: 147 AT VIII, 62-63: 80 EN I, 318: 148 AT VIII, 63-64: 80, 109 EN I, 320: 149 AT VIII, 64: 94 EN I, 322: 150 AT VIII, 65: 98 EN I, 323: 157 AT VIII, 67: 97, 100 EN I, 327: 149 AT VIII, 68: 100 EN I, 328: 150, 273 AT VIII, 68-69: 101 EN I, 328-329: 150, 273 AT VIII, 69: 106-107 EN I, 333: 152 AT VIII, 70: 96 EN I, 335: 150, 156 AT VIII, 71: 98, 105 EN 1,336: 151 AT VIII, 187: 128 EN I, 337: 151, 153 AT IX, 13-14 (Principia, French): 81 EN I, 337-340: 153 AT X, 67-74 (Physico-Mathematica): EN I, 339: 156, 157 43, 69 EN I, 340: 156 AT X, 67-68: 43, 69, 294 EN I, 341-408: l39 AT X, 75-78: 24, 25, 288-289 EN II, 147-191(On Mechanics): 176 AT X, 77: 28, 30, 41, 42 EN II, 261-266 (Uber secundus): 238, AT X, 77-78: 41 249 AT X, 219-220 (Cogitationes EN II, 264: 249 privatae): 24, 32-33, 47, 48, 293 EN VII, 43 (Dia/ogo): 265 AT X, 220: 42 EN VII, 47: 257 AT XI, 40 (Le Monde): 93 EN VII, 48-50: 257-258 AT XI, 100: 128 EN VII, 175: 269 AT XI, 225-226 (Description of the EN VII, 427-428: 236 Human Body): 109 EN VIII, 119 (Discorsi): 270 AT XI, 459 (Passions): 109 EN VIII, 120: 271 AT XI, 629 (Excerpta anatomica): 37, EN VIII, 191: 259 43 EN VIII, 192: 250, 260 AT XI, 629-630: 43, 299 EN VIII, 193: 242, 260 AT XI, 631: 37, 38, 44 EN VIII, 194: 244, 261 EN VIII, 196: 261 Galileo EN VIII, 198: 255-256 EN VIII, 200: 272 Collected Works EN VIII, 201: 272 EN VIII, 202: 273 EN I, 119 (Notes on Motion): 167 EN VIII, 203: 245-247 EN 1,251-340 (De Motu): 139 EN VIII, 205: 249 EN I, 252: 145 EN VIII, 208: 239, 241, 257, 372 EN I, 253: 145 EN VIII, 208-209: 242, 372-373 EN I, 261: 145 EN VIII, 209: 244, 256, 373 EN I, 265: 142, 143 EN VIII, 214: 207 EN I, 267: 145 EN VIII, 215: 136, 249, 375 412 INDEX LOCORUM

EN VIII, 218: 251 fol. 80r: 227-229, 371 EN VIII, 221: 136 fol. 81r: 212 EN VIII, 243: 263 fol. 83v: 235 EN VIII, 268: 262 fol. 85v: 170-174, 177,362 EN VIII, 273-274: 263 fol. 86v: 235 EN VIII, 280: 181,230,366 fol. 87v: 214,215,233,234,367 EN VIII, 281-282: 183, 366 fol. 90r: 224-226, 234, 368-370 EN VIII, 294-295: 214 fol. 91 v: 181-186, 188, 194, 196, EN VIII. 296: 252 198, 230-232, 366 EN VIII, 297: 229, 254 fol. 106v: 212-213, 224 EN VIII, 309: 268 fol. 107r: 167,209,210 EN VIIl. 323: 246 fol. 107v: 167, 168 EN VIII, 372 (manuscripts): 250 fol. llOv: 227, 233 EN VIII, 373-374: 172,360-361 fol. 114v: 212 EN VIII, 375: 198, 201, 363 fol. 115r: 226 EN VIII, 378: 176, 185, 351 fol. 116v: 182, 214-217 EN VIII, 380: 169, 192, 198,206, fol. 117r: 234-236 357, 362 fol. 128: 170, 172- 175, 246, 360- EN VIII, 383: 170, 177,362 361 EN VIII, 383-384: 177,361 fol. 138v: 250 EN VIII, 384-385: 176 fol. 147r: 198, 204, 206, 207 EN VIII, 386: 206 fol. 151r: 176, 185,351 EN VIII, 388: 177 fol. 152r: 181-182, 185-200, 240, EN VIII, 392-93: 176 364-365 EN VIII, 424: 213 fol. 163v: 176-178, 188,361 EN VIII, 425-426: 167,359 fol. 164v: 192, 198, 201, 202 EN VIII, 426-427: 181 fol. 171v: 217, 221-224, 266-267 EN VIII, 427: 180,230 fol. 172r: 176 EN VIII, 428: 233 fol. 175v: 217-224, 266 EN VIlI, 428-429: 214,367 fol. 177r: 206 EN VIII, 429-430: 225, 368-269 fol. 179r: 177 EN VIII, 433: 212, 228, 371 fol. 179v: 169, 170, 183,362 EN VIII, 446-447: 266, 378 fol. 182r: 167, 359 EN VIII, 614: 198,200 fol. 193r: 213 EN X, 97-100 (letter to Guidobaldo): 159, 204 EN X, 115 (letter to Sarpi): 159, 166, Beeckman 354-355 EN X, 115-116: 159, 166 EN X, 116: 272 Journal EN X, 229 (letter to de' Medici): 211, 363 J I, 10: 25 EN XIV, 394-395 (Cavalieri to J I, 24: 25 Galileo): 285 J I, 260: 24, 29, 40 EN XVI, 163 (letter to Micanzio): J I, 260-265: 24, 29, 60, 290-292 135 J I, 263: 25, 38, 39 EN XVI, 524 (letter to Diodati): 237 J I, 263-264: 38, 39 EN XVIII, 67 (Cavalieri to Galileo): J I, 264: 40 252 J I, 353: 25 J Ill, 133: 67 Manuscripts J IV, 49: 24, 25 J IV, 49-52: 24, 25 fol. 58r: 207 Sources and Studies in the History of Mathematics and Physical Sciences

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T. Hawkins Emergence of the Theory of Lie Groups: An Essay in the History of Mathematics 1869-1926

A. HermannlK. von MeyennlY.F. Weisskopf (Eds.) Wolfgang Pauli: Scientific Correspondence I: 1919-1929

c.c. Heyde/E. Seneta I.J. Bienayme: Statistical Theory Anticipated

1.P. Hogendijk Ibn AI-Haytham's Completion of the Conics

J. H!ilYrup Length, Widths, Surfaces: A Portrait of Old Babylonian Alegbra and Its Kin

A. Jones (Ed.) Pappus of Alexandria, Book 7 of the Collection

E. Kheirandish The Arabic Version of Euclid's Optics, Volumes I and II

1. Liitzen Joseph Liouville 1809-1882: Master of Pure and Applied Mathematics

J. Liitzen The Prehistory of the Theory of Distributions

G.H. Moore Zermelo's Axiom of Choice

o. Neugebauer A History of Ancient Mathematical Astronomy

o. Neugebauer Astronomical Cuneiform Texts

F.1. Ragep Na~r ai-Din al-Tiisi's Memoir on Astronomy (al-Tadhkira ff cilm al-hay'a)

B.A. Rosenfeld A History of Non-Euclidean Geometry Sources and Studies in the History of Mathematics and Physical Sciences

Continuedfrom the previous page

J. Sesiano Books IV to VII of Diophantus' Arithmetica: In the Arabic Translation Attributed to Qus!i ibn Liiqa

L.E. Sigler Fibonacci's Liber Abaci: A Translation into Modem English of Leonardo Pisano's Book of Calculation lA. Stedall The Arithmetic of Infinitesimals: John WaDs 1656

B. Stephenson Kepler's Physical Astronomy

N.M. Swerdlow/D. Neugebauer Mathematical Astronomy in Copernicus's De Revolutionibus

GJ. Toomer (Ed.) Appolonius Conics Books V to VII: The Arabic Translation of the Lost Greek Original in the Version of the Banii MUsA, Edited, with English Translation and Commentary by GJ. Toomer

G.J. Toomer (Ed.) Diocles on Burning Mirrors: The Arabic Translation of the Lost Greek Original, Edited, with English Translation and Commentary by GJ. Toomer

C. Truesdell The Tragicomical History of Thermodynamics, 1822-1854

K. von MeyennlA. Hermann/V.F. Weisskopf (Eds.) Wolfgang Pauli: Scientific Correspondence II: 1930-1939

K. von Meyenn (Ed.) Wolfgang Pauli: Scientific Correspondence m: 1940-1949

K. von Meyenn (Ed.) Wolfgang Pauli: Scientific Correspondence IV, Part I: 1950-1952

K. von Meyenn (Ed.) Wolfgang Pauli: Scientific Correspondence IV, Part II: 1953-1954