Galileo’s discovery of scaling laws

@article{Peterson2001GalileosDO,
  title={Galileo’s discovery of scaling laws},
  author={Mark A. Peterson},
  journal={American Journal of Physics},
  year={2001},
  volume={70},
  pages={575-580}
}
  • M. Peterson
  • Published 9 October 2001
  • Physics
  • American Journal of Physics
Galileo’s realization that nature is not scale invariant motivated his subsequent discovery of scaling laws. His thinking is traced to two lectures he gave on the geography of Dante’s Inferno. 
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All propositions in this paragraph are from the second day
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It consisted in this, that he reviewed the opinion of the Florentine Antonio Manetti concerning the site of Dante's Inferno
    We would now say the stress itself varies linearly across the beam, so that the correct dependence is the second moment of area
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