The Initial Growth of Galileo’s Problem

  • Edoardo Benvenuto

Abstract

In the preceding pages, we have tried to describe the development of the First Day of the Discorsi as a journey—albeit a digressive one—from a definite beginning to a less definite end. But the ideas presented in the Second Day had a less clear-cut fate. Their history is characterized by fragmentation; instead of a highway, we have dozens of footpaths, weaving all over the terrain, sometimes parallel, sometimes intersecting, never straightforward.

Keywords

Europe Resis Eter Pyramid Defend 

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References

  1. 2.
    P.S. Girard, Traité analytique de la résitance des solides et des solides d’égale résistance (Paris, 1798), p. xx.Google Scholar
  2. 3.
    F. Blondel, “Résolution des quatre principaux problèmes d’architecture,” in Mémoires de VAcadémie Royale des Sciences depuis 1666 jusqu’à 1699, Vol. 5.Google Scholar
  3. 4a.
    F. Blondel, “Second discours, ou lettre au Sieur B., pour la résolution de ses doutes sur les propositions du premier discours,” in “Résolution des quatre principaux problèmes d’architecture,” Mémoires de VAcadémie Royale des Sciences depuis 1666 jusqu’à1699,Google Scholar
  4. 4b.
    F. Blondel Second discours, ou lettre au Sieur B., pour la résolution de ses doutes sur les propositions du premier discours Vol. 5 (1729), p. 529.Google Scholar
  5. 5.
    A. Marchetti, Lettera, nella quale si ribattono Vingiuste accuse, date dal P.D.G.G.… ad Alessandro Marchetti. Nella seconda edizione del suo libro “Della quadratura del cerchio, e delV iperbola, ecc”… (Lucca, 1711), p. 23.Google Scholar
  6. 6a.
    G. Grandi, Riposta apologetica del P. Maestro D. Guido Grandi… alle op-posizioni fattegli dal Signor Dottore A.M. nella sua dotta lettera diretta alV Ec-cellenza del Sig. B.T. (Lucca, 1712) (hereafter cited as Grandi, Riposta), p. 48. On the controversy between Marchetti and GrandiGoogle Scholar
  7. 6b.
    see also: G. Grandi, Dialoghi… circa la controversia eccitatagli contro dal Sig. Dottore Allessandro Marchetti… (Lucca, 1712). These (unfinished) dialogues, however, do not concern our subject.Google Scholar
  8. 7.
    Ibid., pp. 46–47.Google Scholar
  9. 8.
    F. Blondel, op. cit., p. 478. Leibniz called Würtz “an illustrious man” because of his military merits. He mentioned Würtz’s experiments; carried out according to Galileo’s hypotheses, these had not corresponded to his expectations. Wiirtz’s experiments were known to Bülffinger; see Bülffinger, “De solidorum resisten-tia specimen,” Commentarii Academiae Petropolitanae (1729), 2d ed. (Bologna, 1739), Vol. 4, pp. 164–181.Google Scholar
  10. 9.
    F. Blondel, op. cit., p. 479.Google Scholar
  11. 10.
    Galileo, Discorsi, pp. 177–178.Google Scholar
  12. 11.
    F. Blondel, op. cit., p. 492.Google Scholar
  13. 12.
    Ibid., “Lettre à B.,” p. 516.Google Scholar
  14. 13.
    A. Marchetti, De resistentia solidorum (Florence, 1669) (hereafter Marchetti, Resistentia) p. 124.Google Scholar
  15. 14.
    Grandi, Riposta, p. 83.Google Scholar
  16. 15.
    Marchetti, Resistentia, p. 1.Google Scholar
  17. 16.
    Ibid., p. 2.Google Scholar
  18. 17.
    Ibid., p. 3.Google Scholar
  19. 18.
    Grandi, Riposta, p. 39.Google Scholar
  20. 19.
    V. Viviani, “Trattato delle resistenze…” in G. Galilei, Opere (Florence, 1718), Vol. 3 (hereafter cited as Viviani, “Trattato”), pp. 201–202.Google Scholar
  21. 20.
    Ibid., p. 202.Google Scholar
  22. 21.
  23. 22.
    Ibid., p. 203.Google Scholar
  24. 23.
    Ibid., p. 209.Google Scholar
  25. 24.
    Ibid., p. 245.Google Scholar
  26. 25.
    G. Grandi, Geometrica demonstratio theorematum Hugenianorum circa logisticam, seu logarithmicam lineam…. (Florence, 1701).Google Scholar
  27. 26a.
    G. Cardano, De subtilitate (Lyon, 1580), p. 18Google Scholar
  28. 26b.
    G.B. Porta, Pneumaticorum ibri tres… (Naples, 1601), p. 10Google Scholar
  29. 26c.
    P. Casati, Vacuum prescriptum. Disputatio physica… (Genoa, 1649)Google Scholar
  30. 26d.
    G. Schott, Mechanica hydraulica-pneumatica (Würzburg, 1657).Google Scholar
  31. 27.
    H. Fabri, Physica, id est scientia verum corporearum (Lyon, 1669) (hereafter cited as Fabri, Physica), Vol. 2, p. 514.Google Scholar
  32. 28.
    Ibid., Vol. 1, p. 42.Google Scholar
  33. 29.
    Ibid., p. 43.Google Scholar
  34. 30.
    Ibid., pp. 61–63.Google Scholar
  35. 31.
    Ibid., p. 64.Google Scholar
  36. 32.
    Ibid., pp. 132–133.Google Scholar
  37. 33.
    Ibid., p. 164.Google Scholar
  38. 34.
    Galileo, Opere, Vol. 8, pp. 369–370.Google Scholar
  39. 35.
    Fabri, Physica, pp. 594–595.Google Scholar
  40. 36.
    G.D. Pardies, Œvres, new ed. (Lyon, 1725), p. 213.Google Scholar
  41. 37.
    Ibid., p. 216.Google Scholar
  42. 38.
    Ibid., pp. 226–227.Google Scholar
  43. 39.
    Ibid., p. 280.Google Scholar
  44. 40.
    Ibid., p. 281.Google Scholar
  45. 41.
    Ibid., p. 282.Google Scholar
  46. 42.
    Ibid., p. 288.Google Scholar
  47. 43.
    Ibid., p. 292.Google Scholar
  48. 44.
    Ibid., p. 296.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Edoardo Benvenuto
    • 1
  1. 1.Facoltà di Architettura di GenovaUniversità di GenovaGenovaItaly

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