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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 ... - Σελίδα 46
των William Whewell - 1837 - 182 σελίδες
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An elementary text-book of mechanics (kinematics and dynamics).

Joshua Joseph J. Doherty - 1881
...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...

The Cambridge Examiner

...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,...

Gibson's London matriculation guide, by J. Gibson [and others].

1882
...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,...

The Elements of Analytical Mechanics

De Volson Wood - 1882 - 249 σελίδες
...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...

Principles of Mechanics

Thomas Minchin Goodeve - 1883 - 352 σελίδες
...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...

Natural Philosophy

Isaac Sharpless, George Morris Philips - 1883 - 350 σελίδες
...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...

Mechanics for junior students

William James Browne - 1883 - 200 σελίδες
...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,...

An Elementary Treatise on Analytic Mechanics: With Numerous Examples

Edward Albert Bowser - 1884 - 511 σελίδες
...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...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

...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...

An elementary treatise on mechanics

Isaac Warren - 1889
...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...