Huygens and Bernoulli's brachistochrone - Rijksuniversiteit Groningen
Huygens and Bernoulli's brachistochrone - Rijksuniversiteit Groningen
Huygens and Bernoulli's brachistochrone - Rijksuniversiteit Groningen
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H&B – p.18/27Johann Bernoulli’s surpriseThe <strong>brachistochrone</strong> problem (<strong>Groningen</strong> 1696):Given: Two points P <strong>and</strong> Q in vertical plane underinfluence of gravityRequest: Wire profile for bead to slide from P to Q inthe shortest timeOptical metaphore:bead follows light ray through optical medium withsuitably chosen speed op propagation v = v(h)