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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. "
A Treatise of Mechanics, Theoretical, Practical, and Descriptive - الصفحة 367
بواسطة Olinthus Gregory - 1815 - عدد الصفحات: 58
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The Principles of Mechanics: Designed for the Use of Students in the University

James Wood - 1818 - عدد الصفحات: 210
...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....
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The mechanical Euclid, containing the elements of mechanics and hydrostatics

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

William Whewell - 1847 - عدد الصفحات: 191
...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...
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Elementary mechanics

Harvey Goodwin (bp. of Carlisle.) - 1851
...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 - عدد الصفحات: 307
...=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...
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AN ELEMENTARY TREATISE ON MECHANICS

AUGUSTUS W. SMITH - 1855
...^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...
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An elementary treatise on mechanics: designed as a text-book for the ...

John Bradford Cherriman - 1858 - عدد الصفحات: 92
...= 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...
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Elementary statics, ed. by E. Sturges

George Rawlinson - 1860
...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 ...

1863 - عدد الصفحات: 307
...=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...
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An Elementary Treatise on Mechanics, for the Use of the Junior Classes at ...

Stephen Parkinson - 1863 - عدد الصفحات: 374
...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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