phenomenon 38.2 Exact isochronism on a cycloid
open in the book ·
parts/03-classical-mechanics/17-exp-pendulum.tex:225
· p. 1181
- phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt
Rests on
- depends_on equation 32.7 eq:osc-pendulum-period ¶
-
depends_on
proposition 32.12
Huygens' cycloidal pendulum is exactly
isochronous
¶
- depends_on equation 32.8 eq:osc-pendulum-exact ¶
- depends_on equation 32.2 eq:osc-sho ¶
- proves proof ch:11-oscillations-waves@proof-6 ¶
- proves proof ch:17-exp-pendulum@proof-1 ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
cites |
→ | Horologium Oscillatorium sive de motu pendulorum ad horologia aptato demonstrationes geometricae | derived | parts/03-classical-mechanics/17-exp-pendulum.tex:233 |
depends_on |
→ | eq:osc-pendulum-period | declared | parts/03-classical-mechanics/17-exp-pendulum.tex:236 |
depends_on |
→ | Huygens' cycloidal pendulum is exactly isochronous | declared | parts/03-classical-mechanics/17-exp-pendulum.tex:236 |
proves |
← | ch:17-exp-pendulum@proof-1 | declared | parts/03-classical-mechanics/17-exp-pendulum.tex:239 |