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" The space through which a body will descend on an inclined plane, is to the space through which it would fall freely in the same time, as the sine of the inclination of the plane to the... "
Outlines of Natural Philosophy: Being Heads of Lectures Delivered in the ... - Page 121
by John Playfair - 1812 - 309 pages
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An introduction to natural philosophy or, Philosophical lectures. To which ...

John Keill - 1745 - 352 pages
...to fuftain a heavy Body on an inclined Plane, provided the Power is to the Weight of the heavy Body as the Sine of the Inclination of the Plane to the Radius, j^. ED Cor. 2. HENCE there may be affigned fuch an Inclination of a Plane, that any, the fmalleft Power,...
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Institutes of Natural Philosophy: Theoretical and Practical

William Enfield - Astronomy - 1811 - 476 pages
...= 35-8 feet per second. PROP. XXXI. The space described in any given time by a body descending down an inclined plane, is to the space through which it would fall perpendicularly in the same time, as the elevation of the plane to its length. , Let AC represent the...
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The millwright & engineer's pocket companion

William Templeton (engineer.) - 1833 - 224 pages
...a given height, is the same •whether it fall freely or descend through a plane any way inclined. The diameter of a circle perpendicular to the horizon, and any chord terminating at either extremity of that diameter, are fallen through in the same time. And the velocities which bodies acquire...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1844 - 298 pages
...other falling freely, their velocities at all equal heights below the surfnce will be equat. The spnce through which a body will descend on an inclined plane is to the spnce through which it would fall freely in the same time ať the height of the plane to its length....
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Scribner's Engineers' and Mechanics' Companion: Comprising United States ...

J. M. Scribner - Mechanical engineering - 1849 - 286 pages
...of Water per second at the end of any given second, the perpendicular distartce being given. NOTE. The space through which a body will descend, on an...which it would fall freely in the same time as the height of to* plane to its length. Examples. — I. What is the velocity "of the stream per second...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1851 - 346 pages
...and the other falling freely, their velocities at all equal .eights below the surface will be equal. The space through which a body will descend on an inclined plane is to the pace through which it would fall freely in the same time as the height of the ! ne to its length. If...
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The Practical Model Calculator, for the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1852 - 604 pages
...a given height, is the same, whether it fall freely, or descend on a plane at whatever inclination. The space through which a body will descend on an...as the sine of the inclination of the plane to the radiusThe velocities which bodies acquire by descending along chords of the same circle, are as the...
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The Practical Model Calculator: For the Engineer, Mechanic, Machinist ...

Oliver Byrne - Engineering - 1852 - 598 pages
...given height, is the same, whether it fall freely, or descend on a plane at whatever inclinationThe space through which a body will descend on an inclined...as the sine of the inclination of the plane to the radiusThe velocities which bodies acquire by descending along chords of the same circle, are as the...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1853 - 318 pages
...of Water per Second (the perpendicular distance being given} at the End of any Given Time. NOTE. — The space through which a body will descend on an...which it would fall freely in the same time as the height of the plane to its length. If a body descend in a curve, it suffers no loss of velocity. If...
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Hand-books of Natural Philosophy and Astronomy, Volume 2

Dionysius Lardner - Astronomy - 1854 - 762 pages
...the space wi', through which the body would move in virtue of the velocity of progression, and w I the space through which it would fall freely in the same time by gravity. If the force of gravity would have made it move over w I with a uniform motion, then the...
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