 | William Whewell - 1837 - 226 σελίδες
...parallel to them in direction and proportional to them in magnitude. * PROP. XIV. If three forces, represented in magnitude and direction by the sides of a triangle taken in order, act on a point, they will keep it in equilibrium. Let three forces, represented in magnitude and direction... | |
 | William Whewell - 1847 - 208 σελίδες
...at whatever point of the force the resolution be supposed to take place. 57. PIIOP. If three forces, represented in magnitude and direction by the sides of a triangle taken in order, act on a point, they will keep it in equilibrium. Let three forces, represented in magnitude and direction... | |
 | Cambridge univ, exam. papers - 1856 - 200 σελίδες
...the pressure on the fulcrum be 25 pounds, what are the magnitudes of the forces ? 2. If three forces represented in magnitude and direction by the sides of a triangle taken in order, act on a point, they will keep it at rest. Two forces whose magnitudes are 12 and 5 pounds respectively,... | |
 | Stephen Parkinson - 1863 - 408 σελίδες
...Bruges, without any strict proof of it. 22. The Triangle of Forces. If three forces acting at a point be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium. Let ABC be the triangle whose sides taken in order represent in direction and... | |
 | Samuel Newth - 1864 - 392 σελίδες
...the resultant of P and Q, both in magnitude and direction. 20. TRIANGLE OF FORCES. If three forces, represented in magnitude and direction by the sides of a triangle taken in order, act upon a point, they will be in equilibrium; and, conversely, if three forces acting upon a point,... | |
 | John Charles Buckmaster - 1864 - 204 σελίδες
...magnitude by AD, the diagonal of the parallelogram, of which AB and AC are the sides. Jf three forces represented in magnitude and direction by the sides of a triangle taken in order act at a point, ihey mil keep it in equilibrium. Let three forces, AB, BC, CA represented in magnitude... | |
 | James Hamblin Smith - 1868 - 102 σελίδες
...sin ONF : sin NME : sin MOD :: sin a : sin yS : sin 7. 23. THE POLYGON OF FORCES. 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. Let the forces acting at A be represented in magnitude... | |
 | Richard Wormell - 1869 - 270 σελίδες
...construction we may at once deduce the following proposition. When a number of forces acting on a particle can be represented in magnitude and direction by the sides of a polygon taken in order the forces are in equilibrium. Parallelepiped of Forces. 34. If three forces,... | |
 | James Hamblin Smith - 1871 - 148 σελίδες
...NME: sin MOD, (Trig. Art. 101), sin a : sin /3 : sin y. 40. THE POLYGON OF FORCES. 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. Let any number of forces P, Q, R, S, T, acting... | |
 | J W. Mulcaster - 1871 - 242 σελίδες
...be deduced several important theorems. 37. Triangle of Forces.—If three forces acting at a point be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium. Let AD, DC, CA represent three forces acting on a point A, suppose. Complete... | |
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IV. // 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. 
