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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... "
Mechanics and Hydrostatics for Beginners - Σελίδα 169
των Sidney Luxton Loney - 1907 - 290 σελίδες
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The mechanical Euclid, containing the elements of mechanics and hydrostatics

William Whewell - 1837 - 226 σελίδες
...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....

An Elementary Treatise on Mechanics: Intended for the Use of Colleges and ...

William Whewell - 1847 - 208 σελίδες
...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...

A Treatise on Analytical Statics, with Numerous Examples

Isaac Todhunter - 1853 - 362 σελίδες
...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,...

Manual of mechanics, by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1854 - 98 σελίδες
...together 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...

An Elementary Treatise on Mechanics

Isaac Wilber Jackson - 1854 - 224 σελίδες
...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...

A System of Analytic Mechanics

Benjamin Peirce - 1855 - 560 σελίδες
...in the same plane, act upon a point, their combined action is equivalent to that of a single force, which is represented in magnitude and direction by the diagonal of the parallelopiped constructed upon the three forces. For the algebraic sum of the projections of the forces...

Of Motion: An Elementary Treatise

John Robert Lunn - 1859 - 168 σελίδες
...the motion of a point is simultaneously affected, the resulting acceleration will be represented both in magnitude and direction by the diagonal of the parallelogram passing through the point of intersection of those sides." Let AB, AC represent the two accelerations. Then AB, AC measure the...

Fundamental Ideas of Mechanics and Experimental Data

Morin (M., Arthur Jules) - 1860 - 476 σελίδες
...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...

The English Cyclopaedia

1867 - 522 σελίδες
...point, and 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...

A Treatise on Analytical Statics: With Numerous Examples

Isaac Todhunter - 1866 - 386 σελίδες
...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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