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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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## An elementary treatise on mechanics

Isaac Warren - 1889
...Converse of Triangle of Forces.f — Three coplanar forces, acting on a particle, which equilibrate, may be represented in magnitude and direction by the sides of a plane triangle taken in order. * Taken in Order.— The sides of any rectilinear figure are said to...

## The Elements of Statics and Dynamics: Elements of statics

Sidney Luxton Loney - 1891
...magnitude and direction of the other force ? 36. 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 the forces P, Q, R acting at the point 0 be represented in...

## Handbook for Mechanical Engineers

Henry Adams - 1891 - 263 σελίδες
...same way round. 29. POLYGON OF FORCES. When more than three forces in one plane acting upon a point are in equilibrium they may be represented in magnitude and direction by lines forming a closed polygon. More fully defined in next paragraph. 30. FORCE POLYGON. When forces...

## The Architect's and Builder's Pocket-book of Mensuration, Geometry ...

Frank Eugene Kidder - 1892 - 911 σελίδες
...squares of the other two forces. Tlic Triangle of Forces. — III. If 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. Thus let P, Q, and V. (Fig. 5) represent three forces...

## The Mechanics of Daily Life

Vincent Perronet Sells - 1893 - 181 σελίδες
...opposite way, as at (rf). This result may be summed up thus, " If three forces acting at a point can be represented, in magnitude and direction, by the sides of a triangle taken in order, the forces will be in equilibrium;" that is, will exactly balance each other. The direction...

## Elementary Mechanics of Solids and Fluids

A. L. Selby - 1893 - 299 σελίδες
...are equal and parallel to the sides of the triangle COA taken in order. Therefore if three forces, represented in magnitude and direction by the sides of a triangle taken in order, act on a particle, the particle will remain at rest ; or, if already moving, it will continue...

## Treatise on the Theory of the Construction of Bridges and Roads

De Volson Wood - 1893 - 249 σελίδες
...triangle, as a, b, C, Fig. 123. Since the forces at <7, Fig. 122, including the strains in the bars, are in equilibrium, they may be represented in magnitude and direction by the three sides of a triangle. In Fig. 123, draw the lines 1 and 2 from the extremities of Pi, parallel...

## A Text-book of Statics

William Briggs, George Hartley Bryan - 1894 - 220 σελίδες
...equilibrium as if they acted on a particle at that point ; they must therefore be capable of being represented in magnitude and direction by the sides of a triangle taken in order. The conditions of equilibrium of three parallel forces will be investigated in Chap. VI. 54....

## The Elementary Principles of Mechanics: Statics. 1894

Augustus Jay Du Bois - 1894
...must act in their plane and be equal and opposite to the third. (3) J[f three concurring forces are represented in magnitude and direction by the sides of a triangle taken the same way round, the resultant is zero and the forces are in equilibrium. (4) Hence, if three concurring...

## Problems in Machine Design

Charles Herbert Innes - 1894 - 187 σελίδες
...IN FRAMEWORK STRUCTURES. IF three forces (fig. 1) act at a point O, and are in equilibrium, they can be represented in magnitude and direction by the sides of a triangle be a, taken in order. It is frequently convenient to use the method of areas shown here, the force...