Bernoulli's lightray solution for the brachistochrone problem from ...
Bernoulli's lightray solution for the brachistochrone problem from ...
Bernoulli's lightray solution for the brachistochrone problem from ...
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Bernoulli’s <strong>lightray</strong> <strong>solution</strong>Fermat principle of least time <strong>for</strong> light rays optical <strong>solution</strong> in mechanical setting- Discrete approximation in horizontal layerseach layer homogeneous and isotropic refraction index n = 1/v (c = 1)- Fermat principle⇒- inside layer:ray = straight line with velocity v = 1/n- at boundary: Snell’s lawG.W. Leibniz, Nova methodus pro maximis et minimis. Acta Eruditorum 1684. In: D.J. Struik, Asource book in ma<strong>the</strong>matics 1200–1800. Harvard University Press 1969, 271-281
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