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Updated: May 22, 2025


If they had never offered themselves, the laws of universal gravitation and isochronous vibration would still have reached the world.

As the weights swing from side to side in successive oscillations, they will always present themselves together at the point which is the middle of their respective arcs. This is what is called isochronous vibration the passing through unequal arcs in equal periods of time. At the first glance, this seems a very singular result.

On the 28th of October, 1831, three hundred and fifty years after Galileo had noticed the isochronous vibrations of the lamps, creative thought and its currency had so far increased that Faraday was wondering what would happen if he mounted a disk of copper between the poles of a horseshoe magnet. As the disk revolved an electric current was produced.

Nothing, in fact, is better established, by experiment and calculation, than that the air is highly resistant. A circumference of only a yard in diameter in the shape of a parachute can not only impede descent in air, but can render it isochronous. That is a fact.

In 1864 he read before that Society papers on "The Computation of the Probable Engine Power and Speed of Proposed Ships," "On Isochronous Rolling Ships," and on "The Uneasy Rolling of Ships."

Even the Professor and the children seemed to have lost sight of me: and I stood in the midst of the group, as unconcernedly as a ghost, seeing but unseen. "How perfectly isochronous!" the Professor exclaimed with enthusiasm. He had his watch in his hand, and was carefully counting Bruno's oscillations.

It was natural, then, that during this lucid interval, the old man's choice should fall on Aubert Thun. Once struck with this thought, he remarked to himself that this young couple had been brought up with the same ideas and the same beliefs; and the oscillations of their hearts seemed to him, as he said one day to Scholastique, "isochronous."

But there is yet another surprise to be encountered. Hang a weight of a pound upon one of the strings, and a weight of two pounds upon the other, and set them vibrating in arcs of unequal length as before, and still their motions will be found to be isochronous. Unequal weights, as well as equal ones, when hung on equal strings, will swing through arcs of unequal length in equal periods of time.

Galileo published his discovery of the isochronous property of the pendulum in 1639. Richard Harris of London took the hint, and connected the pendulum with clock-work movement in 1641. Huyghens subsequently improved the connection, and succeeded in constructing very trustworthy time-keepers, certainly before 1658.

Here, also, there are only the same number of terrestrial particles to act upon each separate particle of the two unequal weights. Hence it is that the vibrations of unequal weights are isochronous when hung on strings of equal lengths. Thus far our dealings have been with what has seemed to be a very single-purposed and determined agent.

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