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" Galileo's suppositions that small vibrations of the pendulum are isochronous, and that the space traversed by a falling body is proportional to the square of the time it has been falling. "
Natural philosophy, tr. and ed. from Cours élémentaire de physique by E ... - Page 46
by Adolphe Ganot - 1878
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First Lines of Natural Philosophy, Divested of Mathematical Formulae: Being ...

Reynell Coates - Physics - 1846 - 692 pages
...parabola. 240. Here the distance through which the body falls from the horizontal line, is everywhere proportional to the square of the time during which it has been in motion, according to the general law of gravity (229). If, then, a body be projected obliquely upwards...
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A Compendium of Natural Philosophy: Adapted to the Use of Schools and Academies

Denison Olmsted - Physics - 1864 - 296 pages
...does it strike? Ans. 965 feet. J '•* .1 ^^^—_^^^—~_______^__^_____^_^__ 3. The space described by a falling body is proportional to the square of the time.— It is proved by mathematical reasoning, that this law is a consequence of uniform acceleration, whether...
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Experimental Mechanics: A Course of Lectures : Delivered at the Royal ...

Sir Robert Stawell Ball - Mechanics - 1871 - 380 pages
...difference, draws all bodies towards it with forces proportional to their masses. THE SPACE DESCRIBED BY A FALLING BODY IS PROPORTIONAL TO THE SQUARE OF THE TIME. 500. It is necessary for us to inquire into the law by which we can ascertain the distance a body will...
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Natural Philosophy for General Readers and Young Persons

Adolphe Ganot, Edmund Atkinson - Physics - 1872 - 552 pages
...— I. In a vacuum all bodies fall with equal rapidity. II. The space which a falling body traverses is proportional to the square of the time during which it has 'fallen ; that is, that if the space traversed in a second is 16 feet, in two seconds it will be 64...
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First Principles of Natural Philosophy

Amos Emerson Dolbear - Physics - 1897 - 344 pages
...it is customary to write the expression thus, s = -—, and at 2 & to say that the space passed over by a falling body is proportional to the square of the time. The same law holds true for any other constant pressure or acceleration in any direction, and a, acceleration,...
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Transactions of the American Society of Civil Engineers, Volume 47

American Society of Civil Engineers - Civil engineering - 1902 - 498 pages
...centrifugal force acts upon the unit of section is directly as the radius. It is found that the energy in a falling body is proportional to the square of the time during which the force of gravity acts upon it, and, if the same reasoning may be applied to the case in hand, it...
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Some Detroit Hydraulic Experiments

Gardner Stewart Williams, George Harrison Fenkell, Clarence William Hubbell - Hydraulics - 1902 - 406 pages
...centrifugal force acts upon the unit of section is directly as the radius. It is found that the energy in a falling body is proportional to the square of the time during which the force of gravity acts upon it, and, if the same reasoning may be applied to the case in hand, it...
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The Nature of Hypothesis ...

Myron Lucius Ashley - Hypothesis - 1903 - 56 pages
...point Wundt mentions Galileo's suppositions that small vibrations of the pendulum are isochronous, and that the space traversed by a falling body is proportional to the square of the time it has been falling. It is true that such anticipations play an important part in science, but so long...
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Studies in Logical Theory

John Dewey - Judgment (Logic) - 1903 - 414 pages
...point Wundt mentions Galileo's suppositions that small vibrations of the pendulum are isochronous, and that the space traversed by a falling body is proportional to the square of the time it has been falling. It is true that such anticipations play an important part in science, but so long...
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Natural Philosophy for General Readers and Young People

Adolphe Ganot - Physics - 1905 - 804 pages
...result that if the times are as 1:2:3 tne corresponding distances are as 1 : 4 : 9 ; that is to say, that the space traversed by a falling body is proportional...square of the time during which it has been falling. A simple modification of Galileo's experiment is made by fixing (fig. 48) a long wire to a vertical...
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