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" If a moving point possess simultaneously velocities which are represented in magnitude and direction by the two sides of a parallelogram drawn from a point, they are equivalent to a velocity which is represented in magnitude and direction by the diagonal... "
Fundamental Ideas of Mechanics and Experimental Data - Page 136
by Morin (M., Arthur Jules) - 1860 - 445 pages
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Outlines of Natural Philosophy: Being the Heads of a Course of ..., Volumes 1-2

James Renwick - Physics - 1822 - 476 pages
...when applied to a given point in a direction directly contrary to its true one. POISSON, § II. 37. The resultant of two forces is represented in magnitude and direction by the diagonal of a parallelogram whose sides represent the magnitude and direction of these two forces. PoisSON, Additions....
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The mechanical Euclid, containing the elements of mechanics and hydrostatics

William Whewell - 1837 - 226 pages
...components be represented in magnitude and direction by the sides of a parallelogram, the resultant is represented in magnitude and direction by the diagonal of the parallelogram. DBF. Forces may be represented by lines parallel to them in direction and proportional to them in magnitude....
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The Penny Cyclopædia of the Society for the Diffusion of Useful ..., Volume 10

Encyclopedias and dictionaries - 1838 - 516 pages
...represented in magnitude and direction by two straight lines, arc equivalent to a third force which ¡s represented in magnitude and direction by the diagonal of the parallelogram constructed with the two lines as its sides. [COMPOSITION.] This theorem is frequently called that of the parallelogram...
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Mechanics for Practical Men

Alexander Jamieson - Mechanics - 1845 - 572 pages
...expressed in the following PROPOSITION. Any two forces whatever, have their resultant or equivalent represented in magnitude and direction, by the diagonal of the parallelogram constructed on the lines which represent the given forces. For, let the two straight lines BA and CA, represent...
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An Elementary Treatise on Mechanics: Intended for the Use of Colleges and ...

William Whewell - Mechanics - 1847 - 208 pages
...components be represented in magnitude and direction by the sides of a parallelogram, the resultant is represented in magnitude and direction by the diagonal of the parallelogram. 56. PROP. Any force represented in magnitude and direction by one side of a triangle, is equivalent...
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A Treatise on Analytical Statics, with Numerous Examples

Isaac Todhunter - Statics - 1853 - 362 pages
...This is called the resolution of a force. 21. Since the resultant of two forces acting on a particle is represented in magnitude and direction by the diagonal of the parallelogram constructed upon the lines which represent these forces in magnitude and direction, it follows that, in order to obtain...
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An Elementary Treatise on Mechanics

Isaac Wilber Jackson - Mechanics - 1854 - 224 pages
...applied to a material point, and represented by lines measured from this point on their directions, is represented in magnitude and direction by the diagonal of the parallelogram constructed on these lines. This proposition is called the parallelogram of forces. The forces P and Q may evidently...
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Manual of mechanics, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1854 - 98 pages
...upon the same B point O, their combined effect is the same as the effect of a single force OC, which is represented in magnitude and direction by the diagonal of the parallelogram formed by drawing BC and AC parallel to OA and OB. Let P and Q be two pulleys (with carefully constructed...
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An Elementary Treatise on Mechanics for the Use of the Junior Classes at the ...

Stephen Parkinson - Dynamics - 1863 - 396 pages
...represented by two lines AC, AB drawn from a point A, the actual acceleration of the particle will be represented in magnitude and direction by the diagonal of the parallelogram constructed on those two lines as adjacent sides." 23. The theorems of the two preceding Articles may be called...
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A Treatise on Analytical Statics: With Numerous Examples

Isaac Todhunter - Mathematics - 1866 - 386 pages
...This is called the resolution of a force. 21. Since the resultant of two forces acting on a particle is represented in magnitude and direction by the diagonal of the parallelogram constructed upon the straight lines which represent these forces in magnitude and direction, it follows that, in order...
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