 | William Whewell - 1837 - 226 σελίδες
...forces AB,BC, which act at a point A, are equivalent to a force AC. PROP. XV. If any number of forces, represented in magnitude and direction by the sides of a polygon taken in order, act on a point, they \ri\\ it in equilibrium. Let forces AB, BC, CD, DE, EA act upon a point A ; they... | |
 | William Whewell - 1847 - 208 σελίδες
...P : R :: sin RAQ : sin PAQ, whence, Q : R :: sin RAP : sin QAP. 59. PROP. If any number of forces, represented in magnitude and direction by the sides of a polygon taken in order, act on a point, they will keep it in equilibrium.. Let forces AB, BC, CD, DE, EA act upon a point A... | |
 | Harvey Goodwin (Bishop of Carlisle.) - 1851 - 414 σελίδες
...velocities be supposed to be impressed simultaneously upon a particle at rest, and if these velocities be represented in magnitude and direction by the sides of a polygon taken in order, then the particle will remain at rest. 17. It is to be observed, that in what has been here said, the student... | |
 | Augustus William Smith - 1855 - 340 σελίδες
...AE ^AB cos. BAE, and AF^AB cos. BAF. POLYGON OF FORCES. 24. PROP. If any number of concurring forces be represented in magnitude and direction by the sides of a polygon, taken in order, they will be in equilibrium. Draw the diagonals AC and AD. By Art. 22, AC, the third side of the triangle... | |
 | Augustus William Smith - 1855 - 368 σελίδες
...AE =AB cos. BAE, and AF=AB cos. BAF. POLYGON OF FORCES. 24. PBOP. If any number of concurring forces be represented in magnitude and direction by the sides of a polygon, taken in order, they will be in equilibrium. Let the sides of the polygon ABCDEA represent the magnitudes and have... | |
 | John Bradford Cherriman - 1858 - 108 σελίδες
...Duhamel'a proof. angle between their directions. 19. The Principle of the PARALLELOGRAM OF FORCES. If two Forces acting on a particle be represented in magnitude and direction by two straight lines drawn from a point, and the parallelogram, of which these lines are adjacent sides,... | |
 | George RAWLINSON (Professor of Applied Sciences, Elphinston College, Bombay.) - 1860 - 168 σελίδες
...of the planes. Find the ratio of the inclinations of the planes. 21. Shew that if a system of forces be represented in magnitude and direction by the sides of a polygon taken in order, the moment of the forces about any point may be represented by twice the area of the polygon. 22. A... | |
 | Augustus William Smith - 1863 - 340 σελίδες
...AE =AB cos. BAE, and AF=AB cos. BAF. POLYGON OF FORCES. 24. PROP. If any number of concurring forces be represented in magnitude and direction by the sides of a polygon, taken in order, they will be in equilibrium. STATICS. Draw the diagonals AC, and AD. By Art. 22, AC, the third side... | |
 | Stephen Parkinson - 1863 - 408 σελίδες
...22, and is called the Polygon of Forces. Polygon of Forces. If any number of forces acting at a point be represented in magnitude and direction by the sides of a polygon taken in order, they will be in equilibrium. If the forces be represented in magnitude and direction by the sides of... | |
 | Samuel Newth - 1864 - 392 σελίδες
...: : sin QR : sin R"? : sin PQ. 23. POLYGON OF FORCES. If any number of forces acting upon, a point be represented in magnitude and direction by the sides of a polygon taken in order, they will be in equilibrium. Let forces represented by the sides of the polygon ABCDE, taken in order,... | |
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If any number of forces, acting on a particle, be represented, in magnitude and direction, by the sides of a polygon, taken in order, the forces shall be in equilibrium. 
