 | John Martin Frederick Wright - 1831 - 282 σελίδες
...fulcrum, then shall Pp + Qq + Rr + &c. = Pp' + QY + R'/ + &c. 2. If any two forces acting at the same point be represented in magnitude and direction by the sides of a parallelogram, the diagonal also represents their resultant in magnitude and direction. 3. In the screw,... | |
 | 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... | |
 | Society for the diffusion of useful knowledge - 1839 - 380 σελίδες
...be compounded into one resultant, or one force may be resolved into several components. 17. If two forces acting on a point be represented in magnitude and direction by two lines, their resultant will be represented in magnitude and direction by the diagonal of the parallelogram... | |
 | 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... | |
 | Robert Walker - 1851 - 230 σελίδες
...magnitude is however determined in the following important Pro- ^ ^ A position. O 56. PROPOSITION. If two forces acting on a point be represented in magnitude and direction by two lines drawn through that point, then the resultant of such forces will be represented in magnitude... | |
 | William Jordan Unwin - 1853 - 172 σελίδες
...termed the parallelogram of forces, the general truth of which may be stated as follows : — If two forces, acting on a point, be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant will be represented in magnitude and direction... | |
 | 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...polygon, taken in order, they will be in equilibrium. Let the sides of the polygon ABCDEA represent the magnitudes and have the directions respectively of... | |
 | 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...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 a force... | |
 | John Bradford Cherriman - 1858 - 108 σελίδες
...+ R» + 2 QR cos (Q, K) 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...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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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 will be in equilibrium. 
