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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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The Elements of Statics and Dynamics: Elements of statics

Sidney Luxton Loney - 1891
...Triangle of Forces is also true, viz. that 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. Let the three forces P, Q, and R, acting at a point 0, be in equilibrium. Measure off lengths OL and...

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 acting...

Elementary Mechanics of Solids and Fluids

A. L. Selby - 1893 - 299 σελίδες
...momentum. But CO, OA, OB are equal and parallel to the sides of the triangle CO A 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 in motion along...

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 in the...

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 point...

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...

Lloyd's Encyclopædic dictionary, Τόμος 7

Robert Hunter - 1895
...[SUPPLEMENTAL}. (6) Triangle of forces : Medi. : A term applied to that proposition which asserts that 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...

Science and Art Drawing: Complete Geometrical Course ; Consisting of Plane ...

John Humphrey Spanton - 1895 - 582 σελίδες
...called the parallelepiped of forces. Tlie Triangle of Forces. — If three forces acting at a point are represented in magnitude and direction by the sides of a triangle taken in order, the three forces are in equilibrium. Any one of the forces is equal in magnitude, and in the opposite...

A Text-book on Applied Mechanics: Specially Arranged for the Use of ..., Τόμος 2

Andrew Jamieson - 1897
...taken in the reverse direction. Hence, if there be simultaneously impressed on a point three velocities represented in magnitude and direction by the sides of a triangle taken in order, then, the point will remain at rest.* Polygon of Velocities. — If several component velocities be...

Elementary Geometrical Statics: An Introduction to Graphic Statics

William John Dobb - 1897 - 340 σελίδες
...course includes, as a particular case, The Triangle of Forces. // three forces, acting at a point, be represented in magnitude and direction by the sides of a triangle taken one way round, the forces are in equilibrium. It is to be particularly noticed that, in the Polygon...




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