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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... "
Structural and Stress Analysis - Page 22
by T.H.G. Megson - 2005 - 744 pages
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The Mechanical Euclid: Containing the Elements of Mechanics and Hydrostatics ...

William Whewell - Mechanics - 1837 - 182 pages
...COR. If the 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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An Elementary Treatise on Mechanics: Intended for the Use of Colleges and ...

William Whewell - Mechanics - 1847 - 191 pages
...COR. If the 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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The elements of statics: tr. To which are added, explanatory notes [&c.] by ...

Louis Poinsot - 1847
...K H THEOREM IV. 35. The resultant of any two forces P and Q (Fig. 14), applied at the same point A, is represented in magnitude and direction by the diagonal of the parallelogram ABDC, constructed upon the lines AB, AC, which represent these forces in magnitude and direction. We...
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A treatise on analytical statics

Isaac Todhunter - 1853
...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,...
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Manual of mechanics, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1854
...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

Isaac Wilber Jackson - Mechanics - 1854 - 197 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...
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Fundamental Ideas of Mechanics and Experimental Data

Morin (M., Arthur Jules) - Mechanics - 1860 - 445 pages
...direction. 119. Application of Varignon's theorem to forces. — Since the resultant of two forces is represented in magnitude and direction by the diagonal of the parallelogram constructed upon these forces, as sides, it follows that the purely geometrical theorem of Varignon...
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A Treatise on Analytical Statics with Numerous Examples

Isaac Todhunter - Statics - 1866 - 364 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...
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The English Cyclopaedia

Encyclopedias and dictionaries - 1867
...represented in magnitude and direction by two straight lines, are equivalent to a third force which is represented in magnitude and direction by the diagonal of the parallelogram constructed with the two lines as ita sides. [COMPOSITION.] This theorem is frequently called that...
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Arts and Sciences: Or, Fourth Division of "The English Encyclopedia", Volume 4

Charles Knight - Encyclopedias and dictionaries - 1867
...represented in magnitude and direction by two straight lines, are equivalent to a third force which is 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...
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