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" 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. "
The Elements of Analytical Mechanics - Σελίδα 67
των De Volson Wood - 1882 - 249 σελίδες
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The Mechanical Euclid: Containing the Elements of Mechanics and Hydrostatics ...

William Whewell - 1837 - 182 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...

An Elementary Treatise on Mechanics: Intended for the Use of Colleges and ...

William Whewell - 1847 - 191 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...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...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,...

An elementary treatise on mechanics

Stephen Parkinson - 1863 - 374 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...

The Elements of Mechanical Physics

John Charles Buckmaster - 1864 - 188 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...

The Elements of Mechanics, Including Hydrostatics: with Numerous Examples

Samuel Newth - 1864 - 364 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 Treatise on Elementary Statics, Τόμος 12

James Hamblin Smith - 1868 - 86 σελίδες
...magnitude the resultant of AB, AC. 20. THE TRIANGLE OF FORCES. If three forces acting at a point can be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium. Let AB, BC, CA, the sides of the triangle ABC taken in order, represent...

Elementary statics

James Hamblin Smith - 1871 - 130 σελίδες
...of this proposition is true, that is, if three forces, acting at a point be in equilibrium, they can be represented in magnitude and direction by the sides of a triangle, taken in order. This is a particular case of a more general theorem, which we now proceed to prove. 38. If three...

An elementary treatise on statics

J W. Mulcaster - 1871
...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....

Some applications of theory to the practice of construction; a part of the ...

Henry Wray - 1872
...1,269 Ibs. 2,000 1,200 2,000 1,269 2,231 It is known that if any number of forces act on a point, and are in equilibrium, they may be represented in magnitude and direction by the sides of a polygon drawn parallel to the direction of these forces taken consecutively. Thus if A, B, C, D, E...




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