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" If three forces, represented in magnitude and direction by the sides of a triangle, act on a point, they will keep it at rest. "
The mechanical Euclid, containing the elements of mechanics and hydrostatics - Page 46
by William Whewell - 1837
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An elementary text-book of mechanics (kinematics and dynamics).

Joshua Joseph J. Doherty - 1881 - 240 pages
...the sides OA, OB. 1 74. Triangle of Forces. — If a particle be acted on by three forces which are represented in magnitude and direction by the sides of a triangle taken in order, t/1en the forces will be in equilibrium. Conversely. — If t/me, forces acting on a particle be in...
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...sides of a triangle are 2, J6, 1 + J3. Find the angles. 6. If three forces acting on a particle be represented in magnitude and direction by the sides of a triangle taken in order they will keep the particle in equilibrium. 7. Find the centre of gravity of a plane triangular area,...
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Gibson's London matriculation guide, by J. Gibson [and others].

1882 - 376 pages
...is 80 units.) ANSWEES TO THE NATUEAL PHILOSOPHY PAPEE. 1. 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. And, conversely, if three forces acting at a point balance each other,...
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The Elements of Analytical Mechanics

De Volson Wood - Mechanics, Analytic - 1882 - 276 pages
...component forces. 44. TJRIANGLE OF FORCES. If three concurrent forces are in equilibrium, they may be represented in magnitude and direction by the sides of a triangle taken in their order ; and if the direction of action of one be reversed, it will be the resultant of the other...
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Natural Philosophy

Isaac Sharpless, George Morris Philips - Physics - 1883 - 376 pages
...the letters) will form a system which is balanced. We have a general truth that if three forces are represented in magnitude and direction by the sides of a triangle taken in order, the system is balanced. 60. Resultant of any Number of Forces.—If more than two forces act on one...
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Principles of mechanics

Thomas Minchin Goodeve - 1883 - 368 pages
...the triangle of forces. THE TRIANGLE AND POLYGON OF FORCES. 48. If three forces acting on a point be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium. Let ABD be a triangle, whose sides, AB, BD, DA, taken in order, represent...
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Mechanics for junior students

William James Browne - Mechanics - 1883 - 218 pages
...denotes their resultant. The converse of this— If three forces, acting on a particle, be repref.nted in magnitude and direction by the sides of a triangle, taken in order (ie, in a direction going continuously round the triangle) they are in equilibrium — is also true,...
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An Elementary Treatise on Analytic Mechanics: With Numerous Examples

Edward Albert Bowser - Kinematics - 1884 - 550 pages
...direction of the resultant are determined. 31. Triangle of Forces. — // three concurring forces 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 magnitude...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 pages
...act that their resultant may equal each of them? 4. Prove that 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. Two forces acting at a point at right angles to one another are kept in...
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An elementary treatise on mechanics

Isaac Warren - Mechanics - 1889 - 160 pages
...represented by OA and AC, acting on a particle, give OC ; therefore, &c. 55. Triangle of Forces. — If three forces, represented in magnitude and direction by the sides of a plane triangle taken in order, act on a particle, they will equilibrate. (Fig. 8, p. 21.) For forces...
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