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} }
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.
29 Citations
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
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We would now say the stress itself varies linearly across the beam, so that the correct dependence is the second moment of area