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The debate in Italy

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Part of the book series: Science Networks. Historical Studies ((SNHS,volume 42))

Abstract

This chapter is devoted to the debate in Italy on the principle of virtual velocities as presented in Lagrange’s Méchanique analitique of 1788. Both reductionist and foundational approaches are presented. In the first part those contributions that criticize the evidence of the principle of virtual velocities are introduced, which arrived at slightly different formulations of VWLs. In the second part those more technical contributions are presented, aimed to reformulate the principle of virtual velocity principle without the use of infinitesimals.

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Notes

  1. 1.

    pp. 3–27.

  2. 2.

    p. 86.

  3. 3.

    p. 97

  4. 4.

    pp. 26–30.

  5. 5.

    p. 101.

  6. 6.

    p. 112.

  7. 7.

    p. 10. See also [122], vol. 13, pp. XXIII-XXIV.

  8. 8.

    p. 10.

  9. 9.

    pp. 403–405.

  10. 10.

    pp. 405–406.

  11. 11.

    p. 415.

  12. 12.

    p. 415.

  13. 13.

    p. 416.

  14. 14.

    p. 417.

  15. 15.

    p. 191.

  16. 16.

    p. 191.

  17. 17.

    p. 220.

  18. 18.

    p. 221.

  19. 19.

    p. 450.

  20. 20.

    p. 176.

  21. 21.

    p. 8.

  22. 22.

    p. XVI.

  23. 23.

    p. 5.

  24. 24.

    Part III, Chapter 2.

  25. 25.

    p. 33

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© 2012 Springer-Verlag Italia

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Capecchi, D. (2012). The debate in Italy. In: History of Virtual Work Laws. Science Networks. Historical Studies, vol 42. Springer, Milano. https://doi.org/10.1007/978-88-470-2056-6_12

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  • DOI: https://doi.org/10.1007/978-88-470-2056-6_12

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-2055-9

  • Online ISBN: 978-88-470-2056-6

  • eBook Packages: EngineeringEngineering (R0)

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