Huygens and Bernoulli's brachistochrone - Rijksuniversiteit Groningen

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Huygens and Bernoulli's brachistochrone - Rijksuniversiteit Groningen

Huygens and Bernoulli's brachistochrone - Rijksuniversiteit Groningen

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H&B – p.13/27<strong>Huygens</strong>’s solutionK(ϕ) = chord between C(ϕ) en E(ϕ)Do you see it coming ?

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H&B – p.13/27<strong>Huygens</strong>’s solutionK(ϕ) = chord between C(ϕ) en E(ϕ)Do you see it coming ?

Page 1 and 2: H&B - p.1/27Huygens and Bernoulli
Page 3 and 4: H&B - p.3/27Huygens and BernoulliCh
Page 6 and 7: H&B - p.6/27Commentary1. Potential
Page 8 and 9: H&B - p.8/27Arclength cycloidarclen
Page 10: H&B - p.10/27Evolute and evolventSo
Page 15 and 16: H&B - p.15/27Evolute and evolventEv
Page 17 and 18: Check with high school computations
Page 19 and 20: H&B - p.19/27Two principlesP1x2α j
Page 21 and 22: H&B - p.21/27Fermat implies Snell (
Page 23 and 24: H&B - p.23/27Optics ctd.δsinα 1δ
Page 25 and 26: H&B - p.25/27A few more high school
Page 27: H&B - p.27/27Background bibliograph