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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. "
Experimental Mechanics: A Course of Lectures Delivered at the Royal College ... - Page 241
by Robert Stawell Ball - 1871 - 352 pages
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A Compendium of Natural Philosophy: Adapted to the Use of Schools and Academies

Denison Olmsted - Physics - 1864 - 296 pages
...three seconds, the velocity is 3 x 32^—96^. feet; and after one minute, it is 60 x 32^=1930 feet. 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 i» a consequence of uniform acceleration,...
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Natural Philosophy for General Readers and Young Persons

Adolphe Ganot, Edmund Atkinson - Physics - 1872 - 552 pages
...of bodies, has been used to demonstrate the second law of their fall (51), that the space traversed by a falling body is proportional to the square of the time during -which it has been falling. To make this experiment an inclined plane is taken, along which...
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Natural philosophy, tr. and ed. from Cours élémentaire de physique by E ...

Adolphe Ganot - 1872 - 580 pages
...of bodies, has been used to demonstrate the second law of their fall (51), that the space traversed by a falling body is proportional to the square of the time during which it has been falling. To make this experiment an inclined plane is taken, along which is...
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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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Studies in Logical Theory

John Dewey - JudgmenT (Logic)194 - 1903 - 412 pages
...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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The Nature of Hypothesis ...

Myron Lucius Ashley - Hypothesis - 1903 - 56 pages
...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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The Theory of Measurements

Lucius Tuttle - Error analysis (Mathematics) - 1916 - 328 pages
...of the variables is proportional to some power of the other one. For example, the distance traversed by a falling body is proportional to the square of the time of fall ; the time of rotation of a planet or satellite about a particular central body is proportional...
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The Uses of Experiment: Studies in the Natural Sciences

David Gooding, Trevor Pinch, Simon Schaffer - Science - 1989 - 504 pages
...mathematical terms. See Butts (1978), p. 61. treatise) the proposition that the distance travelled by a falling body is proportional to the square of the time. In the ensuing dialogue Simplicio expresses admiration of the 'Author's' reasoning, adding, 'But I...
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A Smoother Pebble: Mathematical Explorations

Donald C. Benson - Mathematics - 2003 - 286 pages
...velocity, and acceleration As noted on page 179, Galileo discovered that the distance s traveled in time t by a falling body is proportional to the square of the time elapsed since rest. In other words, there exists a constant c such that s = ct2. Velocity is the derivative...
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Texas School Journal, Volume 24

Education - 1906 - 592 pages
...does wireless telegraph depend ? A n-swers. BY PT MILLER, SAN ANGELO. 1. The entire distance traversed by a falling body is proportional to the square of the time it has been falling. The acceleration per second is equal to twice the distance fallen in the first...
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