 | James Wood - 1818 - عدد الصفحات: 226
...represent the quantities of the forces. PROP. IX. (60.) If any number of forces, represented in quantity and direction by the sides of a polygon, taken in order, act at the same time upon a body at rest, they will keep it at rest. . . Let AB, BC, CD, DE, and EA (Fig.... | |
 | William Whewell - 1837 - عدد الصفحات: 226
...lines. COR. 2. Any two 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...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 will... | |
 | William Whewell - 1847 - عدد الصفحات: 208
...like manner we may prove P : R :: sin RAQ : sin PAQ, whence, Q : R :: sin RAP : sin QAP. 59. PROP. If any number of forces, represented in magnitude...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 ; they... | |
 | Harvey Goodwin (Bishop of Carlisle.) - 1851 - عدد الصفحات: 414
...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... | |
 | Augustus William Smith - 1855 - عدد الصفحات: 368
...=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... | |
 | Augustus William Smith - 1855 - عدد الصفحات: 340
...^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... | |
 | John Bradford Cherriman - 1858 - عدد الصفحات: 108
...= B » + P » + 2 RP cos (B, P). Polygon of 30. Polygon of Forces. T/ 7 Forces acting on a point be represented in magnitude and direction by the sides of a polygon, taken in order, they will keep the point at rest. For if ABCDEF be the polygon, the forces AB, BC, have for their resultant... | |
 | George RAWLINSON (Professor of Applied Sciences, Elphinston College, Bombay.) - 1860 - عدد الصفحات: 168
...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 - عدد الصفحات: 340
...=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 - عدد الصفحات: 396
...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, tfiey will be in equilibrium. If the forces be represented in magnitude and direction by the sides... | |
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If any number of forces acting at a point can be represented in magnitude and direction by the sides of a POLYGON taken in order, they are in equilibrium. 
