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Half the Length of the Pendulum, as the Circumference of a Circle is to its Diameter...
A Course of Mathematics ...: Composed for the Use of the Royal Military ... - Σελίδα 173
των Charles Hutton - 1811
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## Miscellanea Curiosa: Being a Collection of Some of the Principal ..., Τόμος 1

Edmond Halley, Royal Society (Great Britain) - 1705 - 359 σελίδες
...of the leaft Vibrations of a Pendulum, to be to the Time of the Fall of a Body, from the hcighth of half the length of the Pendulum^ as the Circumference of a Circle to its Diameter j whence, as a Corollary, it follows, th.3t as the Square of the Diameter to the Square...

## The Philosophical Transactions ... Abridged ..., Τόμος 1

...of the leaft Vibrations of a Pundulum, to be to the Time of the Fall of a Body, from the Height of Half the Length of the Pendulum, as the Circumference of a Circle to its Diameter : YVhence, ts a Corollary, it follows, That as the Square of the Diameter to the Square...

## pt.2. A description of the world, pt.3. A treatise of natural philosophy ...

Jacques Rohault - 1723
...nearly equal to each other ; and have very nearly the fame Ratio to the Time of the perpendicular Fall through half the Length of the Pendulum ; as the Circumference of a Circle has to its Diameter. Coroll. i. Hence alfo appears a Method of determining the Space through which...

## Essays on Several Curious and Useful Subjects: In Speculative and Mix'd ...

Thomas Simpson - 1740 - 142 σελίδες
...barelypb*\ which is to the Time, wherein a Body freely descending from Reft,, would fall thro' CB, Half the Length of the Pendulum, as the Circumference of a Circle, to its Diameter. CORO LV MOREOVER, when only -1 is = o, or the Refiftance uniform, the Vibrations will,...

## A Compendious System of Natural Philosophy: With Notes, Containing ..., Τόμος 1

John Rowning - 1744
...Cycloid, will be to the Time a Body takes up in falling perpendicularly through a Space equal to IK, (half the Length of the Pendulum ;) as the Circumference of a Circle to IB Diameter, and: confwjuently it will always be the fame They : • . • <. . which a Body falling...

## An introduction to natural philosophy or, Philosophical lectures. To which ...

John Keill, Christiaan Huygens - 1745
...performed in a Cycloid, is to the Time of the perpendicular Fall through the Axis of that Cycloid, that is, through half the Length of the Pendulum, as the Circumference of a Circle to its Diameter. And it hence follows, that the Time of any the fmalleft Ofcillation is to the Time...

## Philosophia Britannica: Or, A New & Comprehensive System of the Newtonian ...

Benjamin Martin - 1747
...Squares of the Times of their Vibrations. (5.) The Time of one Vibration -is to the Time of Defcent through half the Length of the Pendulum, as the Circumference of a Circle to its Diameter. (6.) Whence the Length of a Pendulum vibrating Seconds will be found 39 Inches nearly...

## The Philosophical Transactions and Collections to the End of the ..., Τόμος 1

...of the leaft Vibrations of a Pendulum, to be to riae Time of the Fall of a Body, from the Height of Half the Length of the Pendulum, as the Circumference of a Circle to its Diameter : whence, as a Corollary^ it follows, That as the Square of the Diameter to the Square...

## The Principles of Mechanics: Explaining and Demonstrating the General Laws ...

William Emerson - 1758 - 284 σελίδες
...vibrates in a cycloid ; the time of one vibration, is 55. to the time of a bodfs falling perpendicularly through half the length of the pendulum ; as the circumference of a circle to the diameter. Let ADa be the cycloid, FD its axis, FGD the generating circle. Let the body defcend...

## Mechanics, Or, The Doctrine of Motion ...

William Emerson - 1769 - 148 σελίδες
...cir- I2> fie i the time of one vibration, is to the time of a tody's falling perpendicularly thro' half the length of the pendulum ; as the circumference of a circle^ to the diameter. If a pendulum fufpended by a thread, &c. be made to vibrate in any curve ; it is the...