The Pendulum Swings Again: A Mathematical Reassessment of Galileo's Experiments with Inclined Planes

Archive for History of Exact Sciences

Volumn 56, Issue 4, 2002, Pages 339-361

  Hahn, Alexander J ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947365775     PISSN: 00039519     EISSN: 14320657     Source Type: Journal    
DOI: 10.1007/s004070200048     Document Type: Article

References (46)

1. Galileo Galilei, Dialogo doue ne i congressi di quattro giornate si discorre sopra i due Massimi Sistemi del Mondo,: Tolemaico, e Copernicano, Florence, 1632. Stillman Drake translation, Dialogue Concerning the Two Chief World Systems -Ptolemaic and Copernican, University of California Press, 1967.
2. Galileo Galilei, Discorsi e dimostrazioni matematiche, intorno a due nuove science atteninti alia mecanica & i movimenti locali, Leyden, at the Elzeviers, 1638. H. Crew and A. de Salvio, translation, Dialogues Concerning Two New Sciences, Northwestern University, Evanston and Chicago, 1950; reprinted by McGraw Hill, New York, 1963. Stillman Drake translation, Discourses & Mathematical Demonstrations Concerning Two New Sciences Pertaining to Mechanics & Local Motion, University of Wisconsin Press, 1974, second edition, Wall and Thompson, Toronto, 1989.
3. I. Kant, Critik der Reinen Vernunft, B edition 1787. N. K. Smith translation, Critique of Pure Reason, Second Edition, Eondon, 1956.
4. E. Mach, The Science of Mechanics, Chicago, 1893.
5. A. Koyré, Etudes Galiléennes, Eibrarie Scientifiques Hermann et Cie, 1939. John Mepham translation, Galileo Studies, Humanities Press, New Jersey, 1978.
6. A. Koyré, An Experiment in Measurement, Proc. Am. Phil. Soc. 97 (1953), 222-237.
7. R. Dugas, Mechanics of the seventeenth century, from the scholastic antecedents to classical thought, Neuchatel, Editions du Griffon; New York, Central Book Co., 1958.
8. T. Settle, An Experiment in the History of Science, Science, Vol. 133 (1961), 19-23.
9. E. McMullin, editor, Galileo: Man of Science, New York, NY, Basic Books, 1967.
10. E. McMullin, Galileo: Man of Science, in Galileo : Man of Science, E. McMullin, editor, 1967, 3-51.
11. T. Settle, Galileo's use of experiment as a tool of investigation, in Galileo: Man of Science, E. McMullin, editor, 1967, 315-337.
12. S. Drake, Galileo's Experimental Confirmation of Horizontal Inertia: Unpublished Manuscripts, Isis 64 (1973), 291-305.
13. R. H. Naylor, Galileo and the Problem of Free Fall, The British Journal for the History of Science 1 (1974), 105-134.
14. R. H. Naylor, The Evolution of an Experiment: Guidobaldo Del Monte and Galileo's Discorsi Demonstration of the Parabolic Trajectory, Physis 16 (1974), 323-346.
15. W. E. Wisan, The New Science of Motion: A Study of Galileo's De motu locali, Archive for History of Exact Sciences 13 (1974), 103-306.
16. S. Drake and J. MacEachlan, Galileo's Discovery of the Parabolic Trajectory, Scientific American, Vol. 232 (3) (1975), 102-110.
17. W. R. Shea and N. S. Wolf, Stillman Drake and the Archimedean Grandfather of Experimental Science, his 66 (1975), 397-4100.
18. R. H. Naylor, Galileo: the Search for the Parabolic Trajectory, Annals of Science 33 (1976), 153-172.
19. R. H. Naylor, Galileo: Real Experiment and Didactic Demonstration, his 67 (1976), 398-419.
20. R. H. Naylor, Galileo's Theory of Motion: Processes of Conceptual Change in the Period 1604-1610, Annals of Science 34 (1977), 365-392.
21. T. S. Kühn, The Essential Tension, Selected Studies in Scientific Tradition and Change, The University of Chicago Press, Chicago and Eondon, 1977.
22. S. Drake, Galileo at Work: His Scientific Biography, The University of Chicago Press, Chicago and Eondon, 1978.
23. E. McMullin, The Conception of Science in Galileo's Work, in New Perspectives on Galileo, R. E. Butts and J. C. Pitts, editors, D. Reidel Publishing Company, Dordrecht, Holland 1978, 209-257.
24. D. Hill, A Note on a Galilean Worksheet, his 70 (1979), 269-271.
25. R. H. Naylor, The Role of Experiment in Galileo's Early Work on the Eaw of Fall, Annals of Science 37 (1980), 363-378.
26. R. H. Naylor, Galileo's Theory of Projectile Motion, his 71 (1980), 550-570.
27. S. Drake, Analysis of Galileo's Experimental Data, Annals of Science 39 (1982), 389-397.
28. R. H. Naylor, Galileo's Early Experiments on Projectile Trajectories, Annals of Science 40 (1983), 391-394
29. S. Drake, Comment on Naylor's Galileo's Early Experiments on Projectile Trajectories, Annals of Science 40 (1983), 395.
30. T. Settle, Galileo and Early Experimentation, in Springs of Scientific Creativity. Essays on Founders of Modern Science, R. Aris, H. T. Davis, and R. H. Stuewer, editors, University of Minnesota Press, Minneapolis 1983, 3-20.
31. W. E. Wisan, Galileo and the Process of Scientific Creation, his 75 (1984), 269-286.
32. S. Drake, Galileo's Accuracy in Measuring Horizontal Projections, Annali dell' Instituto e Museo di Storia delta Sciencia 10 (1985), 1-14.
33. D. Hill, Galileo's Work on 116v: A New Analysis, his 77 (1986), 283-291.
34. S.A. Bedini, Galileo and Scientific Instrumentation, m Reinterpreting Galileo, W. A. Wallace, editor, Catholic University of America Press, Washington D. C., 1986, 127-153.
35. D. Hill, Dissecting Trajectories, Galileo's Early Experiments on Projectile Motion and the Eaw of Free Fall, lsis 79 (1988), 646-668.
36. S. Drake, History of Free Fall, Aristotle to Galileo, Wall & Thompson, Toronto, 1989.
37. S. Drake, Galileo: Pioneer Scientist, University of Toronto Press, 1990.
38. P. Damerow, G. Freudenthal, P. McLaughlin, and J. Renn, Exploring the Limits ofPreclassical Mechanics, Springer-Verlag, New York, 1992.
39. Pope John Paul II, Lessons of the Galileo Case, Origins Vol. 22, November 12,1992,369-374.
40. Cardinal Paul Poupard, Galileo: Report on Papal Commission Findings, Origins Vol. 22, November 12, 1992, 374-375.
41. D. Hill, Pendulums and Planes: What Galileo didn't Publish, Nuncius, Vol. 9(2) (1994), 499-515.
42. A. Hahn, Basic Calculus: From Archimedes to Newton to its Role in Science, Springer-Verlag, New York, 1998.
43. P. Machamer, editor, The Cambridge Companion to Galileo, Cambridge University Press, 1998.
44. P. Machamer, Galileo's machines, his mathematics, and his experiments, in The Cambridge Companion to Galileo, P. Machamer, editor, 53-79.
45. D. Sobel, Galileo's Daughter, Walker Publishing Company Inc., 1999.
46. Heilbron, The Sun and the Church: Cathedrals As Solar Observatories, Harvard University Press, Cambridge, MA, 2001.