Galileo’s discovery of scaling laws

  title={Galileo’s discovery of scaling laws},
  author={Mark A. Peterson},
  journal={American Journal of Physics},
  • 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. 
Comment on “Galileo’s discovery of scaling laws,” by Mark A. Peterson [Am. J. Phys. 70 (6), 575–580 (2002)]–Galileo and the existence of hell
Mark Peterson has given a brilliant and fascinating account of Galileo Galilei’s early lectures ~1588! on Dante’s Inferno and their relation to Galileo’s mature theory of the laws of scaling,
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Dialogue concerning the Two Chief World Systems
Several years ago there was published in Rome a salutary edict which, in order to obviaie the dangerous tendencies of our present age, imposed a seasonable silence upon the Pythagorean opinion that
Archimedes' law of the lever, the balance of torques, was second nature to Galileo
  • Archimedes' law of the lever, the balance of torques, was second nature to Galileo
Two New Sciences, op. cit
  • Two New Sciences, op. cit
Two New Sciences, op.cit
  • Two New Sciences, op.cit
Galileo at Work (Dover Publications Inc
  • Mineola, NY,
  • 1978
All propositions in this paragraph are from the second day
  • All propositions in this paragraph are from the second day
Originally published by Elzevir
  • Originally published by Elzevir
  • 1638
Two New Sciences, translated by Henry Crew and Alfonso de Salvio ͑Dover
  • 1954
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