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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. "
The Architect's and Builder's Pocket-book of Mensuration, Geometry ... - Сторінка 147
автори: Frank Eugene Kidder - 1892 - 911 стор.
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The mechanical Euclid, containing the elements of mechanics and hydrostatics

William Whewell - 1837 - 226 стор.
...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...
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An Elementary Treatise on Mechanics: Intended for the Use of Colleges and ...

William Whewell - 1847 - 208 стор.
...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...
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Elementary Mechanics ... Part I [- II].

Harvey Goodwin (Bishop of Carlisle.) - 1851 - 414 стор.
...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...
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An Elementary Treatise on Mechanics: Embracing the Theory of Statics and ...

Augustus William Smith - 1855 - 368 стор.
...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 the directions respectively...
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An Elementary Treatise on Mechanics: Embracing the Theory of Statics and ...

Augustus William Smith - 1855 - 340 стор.
...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 ABC, represents...
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An Elementary Treatise on Mechanics: Designed as a Text-book for the ...

John Bradford Cherriman - 1858 - 108 стор.
...Q' = 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 AC;...
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Elementary Statics. ... Edited by E. Sturges

George RAWLINSON (Professor of Applied Sciences, Elphinston College, Bombay.) - 1860 - 168 стор.
...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...
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An Elementary Treatise on Mechanics, Embracing the Theory of Statics and ...

Augustus William Smith - 1863 - 340 стор.
...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 of the triangle...
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An elementary treatise on Mechanics

Stephen Parkinson - 1863 - 408 стор.
...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 the polygon ABCDE,...
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An Elementary Treatise on Mechanics for the Use of the Junior Classes at the ...

Stephen Parkinson - 1863 - 396 стор.
...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, tfiey will be in equilibrium. If the forces be represented in magnitude and direction by the sides...
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