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.20/27DiscretisationHorizontal layers 1, 2,... ,N of equal width <strong>and</strong> withconstant speed of propagation v j , 1 ≤ j ≤ NLightray follows broken straight line,refraction according to Snell’s lawLimit N → ∞ give cycloid: rolling angle ϕ is doublethe inclination angle with the vertical directionThis assertion needs proof!