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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... "
Manual of mechanics, by J.A. Galbraith and S. Haughton - الصفحة 4
بواسطة Joseph Allen Galbraith - 1854
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The mechanical Euclid, containing the elements of mechanics and hydrostatics

William Whewell - 1837 - عدد الصفحات: 226
...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 - عدد الصفحات: 208
...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 - عدد الصفحات: 362
...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,...

An Elementary Treatise on Mechanics

Isaac Wilber Jackson - 1854 - عدد الصفحات: 224
...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 - عدد الصفحات: 560
...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...

Fundamental Ideas of Mechanics and Experimental Data

Morin (M., Arthur Jules) - 1860 - عدد الصفحات: 476
...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...

Manual of Mechanics

Joseph Allen Galbraith, Samuel Haughton - 1866 - عدد الصفحات: 200
...two forces, represented in magnitude and direction by the lines OA and OB, act together upon the same point O, their combined effect is the same as the...single force OC, which is represented in magnitude and direetionby the diagonal of the parallelogram formed by drawing BC and AC parallel to OA and OB. Let...

The English Cyclopaedia

1867 - عدد الصفحات: 522
...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 - عدد الصفحات: 386
...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...

Arts and Sciences: Or, Fourth Division of "The English Encyclopedia", المجلد 5

Charles Knight - 1867 - عدد الصفحات: 526
...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 its sides. [COMPOSITION.] This theorem is frequently called that...




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