Skip to main content
  • 318 Accesses

Abstract

Who was first to develop the themes of the First and Second Days of the Discorsi? According to Fr. Guido Grandi, a monk of Camaldoli, it was Vincenzo Viviani, Galileo’s favorite pupil. As we shall see, the matter is not quite so simple, and Grandi cannot be considered impartial. In fact, Viviani had published nothing before the discussion on the resistance of solids exploded, with considerable eclat, in Italy and France. All the same, Grandi’s reasons for this claim are significant, and they may provide a good introduction to the debate that arose as early as the 1640s about the physical (or even metaphysical) causes of resistance.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Footnote

  1. Cf. Grandi’s commentary on Viviani’s treatise, published in G. Galilei, Opere, 2d ed. (Florence, 1718), Vol. 3, p. 201.

    Google Scholar 

  2. E. Torricelli, Lezioni accademiche (Florence, 1715), preface, pp. xxv-xxviii.

    Google Scholar 

  3. Galileo, Opere, Vol. 14, pp. 157–160.

    Google Scholar 

  4. See for example C. de Waard, L’experience barométrique (Thouars, 1936).

    Google Scholar 

  5. M. Mersenne, Correspondance du P. Marin Mer senne, religieux Minime…, ed. C. de Waard (Paris, 1936), Vol. 2, pp. 282–283.

    Google Scholar 

  6. Letter to Jean Rey, Sept. 1, 1631

    Google Scholar 

  7. P. Duhem, “Le Père Marin Mersenne et la pesanteur de l’air,”Revue générale des sciences (1906), p. 774.

    Google Scholar 

  8. R. Lenoble, Mersenne ou la naissance du mécanisme (Paris, 1971).

    Google Scholar 

  9. P. Gassendi, Epicuri Philosophia. Animadversiones in decimum librum Diogenis Laertii (Lyons, 1649).

    Google Scholar 

  10. M. Mersenne, Harmonie universelle (Paris, 1636), first preface.

    Google Scholar 

  11. M. Mersenne, “Reflectiones physico-mathematicae,” in Novarum observationum physico-mathematicarum F. M.M. Minimi, Book 3 (Paris, 1647) (hereafter cited as Mersenne, Reflectiones), p. 150.

    Google Scholar 

  12. P. Musschenbroek, “Introductio ad cohaerentiam corporum firmorum,” in Physicae experimentales, et geometricae, de magnete, tuborum capillarium vitre-orumque speculorum attractione, magnitudine Terrae, cohaerentia corporum firmorum dissertationes: ut et ephemeri des meteorologicae ultrajectinae (Leiden, 1729), p. 506.

    Google Scholar 

  13. M. Mersenne, Cogitata physico-mathematica, in quibus tarn naturae quam artis effectus admirandi certissimis demonstrationibus explicantur (Paris, 1644), Book 1, Art. 4, Prop. I, p. 271.

    Google Scholar 

  14. Mersenne, Reflectiones, p. 150.

    Google Scholar 

  15. Ibid., p. 149.

    Google Scholar 

  16. Ibid., p. 150.

    Google Scholar 

  17. Ibid.

    Google Scholar 

  18. Ibid.

    Google Scholar 

  19. R. Descartes, Epistolae (Amsterdam, 1668), Vol. 2, p. 277.

    Google Scholar 

  20. R. Descartes, Principia philosophiae (Amsterdam, 1644), Part 2, sections 4–7.

    Google Scholar 

  21. Ibid., section 16.

    Google Scholar 

  22. F. Redi, “Osservazioni… intorno a quelle gocciole o fill di vetro, che rotte in qualsisia parte tutte quante si stritolano,” in Rossetti, op. cit.

    Google Scholar 

  23. Rossetti, Composizione, p. 1.

    Google Scholar 

  24. Ibid., p. 2.

    Google Scholar 

  25. Ibid., p. 4.

    Google Scholar 

  26. Ibid., pp. 4–5.

    Google Scholar 

  27. Ibid., p. 10.

    Google Scholar 

  28. Ibid., p. 13.

    Google Scholar 

  29. Ibid., p. 16.

    Google Scholar 

  30. Ibid., p. 17.

    Google Scholar 

  31. Ibid., p. 18.

    Google Scholar 

  32. Ibid.

    Google Scholar 

  33. Ibid., p. 21.

    Google Scholar 

  34. I. Newton, Optice: sive de reflexionibus, refractionibus, inflexionibus et coloribus lucis, (London, 1706), book 3, p. 322.

    Google Scholar 

  35. Ibid., p. 344.

    Google Scholar 

  36. Recueil de diverses pièces, sur la philosophie, la réligion naturelle, l’histoire, les mathématiques, etc. Par Messieurs Leibniz, Clarke, Newton, et autres auteurs célèbres (1719), 2d ed. (Amsterdam, 1740), Vol. 1, p. 61.

    Google Scholar 

  37. Ibid., p. 82.

    Google Scholar 

  38. Ibid.

    Google Scholar 

  39. Ibid., p. 94.

    Google Scholar 

  40. Ibid., p. 95.

    Google Scholar 

  41. Ibid., p. 147.

    Google Scholar 

  42. Ibid., p. 150.

    Google Scholar 

  43. Ibid., p. 151.

    Google Scholar 

  44. Ibid., p. 99.

    Google Scholar 

  45. Ibid., p. 206.

    Google Scholar 

  46. I. Newton, Optics, or a Treatise of the Reflections, Refractions and Colour of Light, 2d ed., London, 1717.

    Google Scholar 

  47. P. Musschenbroek, op. cit., p. 451.

    Google Scholar 

  48. J. Belgrado, De corporibus elasticis, disquisitio physico-mathematica (Parma, 1748); J. Riccati, “Verae et germanae virium elasticarum leges ex phaenomenis demonstratae,” De Bononiensi scientarium academia commentant Vol. 1(1747), p. 523.

    Google Scholar 

  49. J. Riccati, “Sistema delP Universe,” in Opere del Conte Jacopo Riccati (Lucca, 1761), Vol. 1, pp. 152–173.

    Google Scholar 

  50. L. Carnot, Principes généraux de l’équilibre et du mouvement (Paris, 1803).

    Google Scholar 

  51. A. Barré de Saint-Venant, Principes de mécanique fondés sur la cinématique (Paris, 1851).

    Google Scholar 

  52. H. Hertz, Die Prinzipien der Mechanik in neuem Zusammenhang dargestellt (Leipzig, 1894).

    Google Scholar 

  53. G.R. Boscovich, De viribus vivis, dissertatio, etc. (Rome, 1745).

    Google Scholar 

  54. G.R. Boscovich, De continuitatis lege et ejus consectariis pertinentibus ad prima materiae elementa, eorumque vires, dissertatio (Rome, 1754).

    Google Scholar 

  55. G.R. Boscovich, De lege virium in natura existentium dissertatio (Rome, 1755) (hereafter cited as Boscovich, De lege virium).

    Google Scholar 

  56. G.R. Boscovich, “De materiae divisibilitate et prin-cipia corporum, dissertatio conscript a jam ab anno 1748, et nunc primum edita,” Memorie sopra la fisica (Lucca, 1757), Vol. 4.

    Google Scholar 

  57. Boscovich, De lege virium, p. 4.

    Google Scholar 

  58. Ibid., p. 12.

    Google Scholar 

  59. Ibid., pp. 11–12.

    Google Scholar 

  60. Ibid., p. 13.

    Google Scholar 

  61. Ibid.

    Google Scholar 

  62. Ibid., p. 15.

    Google Scholar 

  63. Ibid., p. 37.

    Google Scholar 

  64. P.S. Laplace, Annales de chemie et de physique, Vol. 12 (1819).

    Google Scholar 

  65. S.D. Poisson, “Mémoire sur les surfaces élastiques,” Mémoires de l’Académie des Sciences de l’Institut National (1814), pp. 167–225.

    Google Scholar 

  66. S.D. Poisson, Traité de mécanique (Paris, 1811), Vol. 1.

    Google Scholar 

  67. L. Navier, “Mémoire sur les lois de l’équilibre et du mouvement des solides élastiques,” Mémoires de l’Académie Royale des Sciences de l’Institut National Vol. 7 (1827), pp. 375–393.

    Google Scholar 

  68. A.L. Cauchy, “Sur l’équilibre et le mouvement d’un système de points matériels sollicités par des forces d’attraction ou de repulsion mutuelle,” Exercices de mathématiques (Paris, 1828) (hereafter cited as Cauchy, “Sur l’équilibre”) Vol. 3, pp. 188–212.

    Google Scholar 

  69. A.L. Cauchy, “De la pression ou tension dans un système de points matériels,” Exercices de mathématiques (Paris, 1828), Vol. 3, pp. 213–236.

    Google Scholar 

  70. S.D. Poisson, “Mémoire sur l’équilibre et le mouvement des corps élastiques,” Mémoires de l’Académie des Sciences de l’Institut National (1829), pp. 357–627; see p. 361.

    Google Scholar 

  71. Cauchy, “Sur l’équilibre,” p. 190.

    Google Scholar 

  72. Ibid., pp. 203–205.

    Google Scholar 

  73. S.D. Poisson,“Mémoire sur l’équilibre et le mouvement des corps élastiques,” presented to the Académie Royale des Sciences, April 14, 1828, published in Mémoires de l’Institut, Vol. 8 (1829), pp. 357–570; see especially pp. 376–392.

    Google Scholar 

  74. A. Barré de Saint-Venant, “Sur la question de savoir s’il existe des masses continues et sur la nature probable des dernières particules des corps,” Société philomatique de Paris (1844), pp. 3–15. For a more detailed analysis of Saint-Venant’s arguments in favor of Boscovich’s theory, see E. Benvenuto, A. Becchi, “Sui principi di filosofia naturale che orientarono la ricerca di Saint-Venant,” in Omaggio a Giulio Ceradini (Rome, 1988), pp. 125–138

    Google Scholar 

  75. Cauchy, “Sur l’équilibre,” p. 201.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag New York Inc.

About this chapter

Cite this chapter

Benvenuto, E. (1991). First Studies on the Causes of Resistance. In: An Introduction to the History of Structural Mechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2982-7_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-2982-7_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7745-3

  • Online ISBN: 978-1-4612-2982-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics