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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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## Theoretical mechanics for junior students

William James Browne - 1872
...triangle BDF, viz., BD, DF, F B. 47. The converse of this — If three forces, acting at a point, be represented in magnitude and direction by the sides of a triangle, taken in order, they are in equilibrium, — is also true, and may be easily proved from the same figure. 48. Polygon...

## Principles of Mechanics

Thomas Minchin Goodeve - 1874 - 313 σελίδες
...the triangle offerces. THE TRIANGLE AND POLYGON OF FORCES. 8. 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...

## Hints to young architects

George Wightwick - 1875
...then R 2 = (15)" + (8) 2 = 225 + 64 289, therefore R = 17. 2. // three forces acting on a point be represented in magnitude and direction by the sides of a triangle taken in order, they will keep the point in equilibrium. Let ABC be the triangle, and let P,Q and R be three forces...

## The Elements of Analytic Mechanics: Solids & Fluids

De Volson Wood - 1876 - 472 σελίδες
...component forces. 44. TRIANGLE 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...

## Harvard Examination Papers

Robert Fowler Leighton - 1877 - 343 σελίδες
...the directions in which the forces act. 3. If three forces, represented in direction and magnitude by the sides of a triangle taken in order, act on a point, they will produce equilibrium. . Two forces whose magnitudes are \/3 XP and P, respectively, act at a point in...

## Mechanics

Henry Evers - 1877
...225-424-26 = 20074 .-. 11 = 14-1. 33. 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. This proposition follows as a matter of course from the Parallelogram...

## The elements of dynamics, mechanics

James Andrew Blaikie - 1878
...with velocity AC. 13. Triangle of Velocities.—If a point have three component velocities, which are represented in magnitude and direction by the sides of a triangle taken in order, the point is at rest. Let a point have three uniform velocities represented by the sides AB, BC, CA...

## The elements of mechanics; including hydrostatics

Samuel Newth - 1879
...KM represents OC, the resultant of P and Q, both in magnitude and direction. 20. TRIANGLE OF FOBCES. 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, and...

## Elementary Mechanics Including Hydrostatics and Pneumatics

Sir Oliver Lodge - 1879 - 203 σελίδες
...body, and from B draw a line parallel to P, till it cuts R produced in the * Here is an instance of forces represented in magnitude and direction by the sides of a triangle (CL <r2 (3), and yet not in equilibrium, the reason being that they act on a rigid body instead of...

## Mathematical Formulae: For the Use of Candidates Preparing for the Army ...

R. M. Milburn - 1880 - 100 σελίδες
...resultant in magnitude and direction. 24. 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. Conversely : If three forces acting at a point be in equilibrium, and...