proposition 28.12 Huygens' cycloidal pendulum is exactly isochronous

open in the book · parts/03-classical-mechanics/11-oscillations-waves.tex:344 · p. 949

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proposition 28.12: Huygens' cycloidal pendulum is exactly isochronous28.12equation 28.8: eq:osc-pendulum-exact28.8equation 28.2: eq:osc-sho28.2phenomenon 34.2: Exact isochronism on a cycloid34.2proof : ch:11-oscillations-waves@proof-6proofexperiment : Galileo and Huygens: isochronismexperime…example 32.21: The damped pendulum32.21phenomenon 28.65: The period of a pendulum grows with its amplitude28.65proposition 34.10: An elliptical swing precesses on its own account34.10proposition 28.11: The physical pendulum and its centre of oscillation28.11experiment : Coulomb: the torsion pendulumexperime…definition 28.17: Damped oscillator28.17example 28.8: A laboratory spring, in SI28.8phenomenon 28.9: Isochronism of the small-amplitude pendulum28.9phenomenon 28.13: Universality of small oscillations28.13proposition 28.4: General solution and isochronism28.4proposition 28.54: The Helmholtz resonator28.54proposition 28.71: Naive perturbation theory produces a secular term28.71proposition 28.31: The two modes of a pair of coupled pendulums28.31equation 28.7: eq:osc-pendulum-period28.7proof : ch:17-exp-pendulum@proof-1proof

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typedirectionnode provenancewhere
depends_on eq:osc-pendulum-exact declared parts/03-classical-mechanics/11-oscillations-waves.tex:354
depends_on eq:osc-sho declared parts/03-classical-mechanics/11-oscillations-waves.tex:354
depends_on Exact isochronism on a cycloid declared parts/03-classical-mechanics/17-exp-pendulum.tex:236
proves ch:11-oscillations-waves@proof-6 declared parts/03-classical-mechanics/11-oscillations-waves.tex:357