Huygens and Bernoulli's brachistochrone - Rijksuniversiteit Groningen

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H&B – p.3/27Huygens and BernoulliChristiaan Huygens Johann Bernoulli1629–1695 1667–1748

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H&B – p.2/27Summaryi. Christiaan Huygens’s isochronous curveii. Evolute and evolventiii. Johann Bernoulli’s surpriseiv. Literaturehttp://www.math.rug.nl/˜broer

H&B – p.3/27Huygens and BernoulliChristiaan Huygens Johann Bernoulli1629–1695 1667–1748

Page 1: H&B - p.1/27Huygens and Bernoulli
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 14 and 15: The master himself . . .H&B - p.14/
Page 16 and 17: H&B - p.16/27Detailed formulation1.
Page 18 and 19: H&B - p.18/27Johann Bernoulli’s s
Page 20 and 21: H&B - p.20/27DiscretisationHorizont
Page 22 and 23: H&B - p.22/27OpticsPn 1 = 1/v 1α 1
Page 24 and 25: H&B - p.24/27Deduction cycloidSnell
Page 26 and 27: H&B - p.26/27Commentary1. Challenge

Huygens and Bernoulli's brachistochrone - Rijksuniversiteit Groningen

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