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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. "
Applied Mechanics - Page 18
de Charles Edward Fuller, William Atkinson Johnston - 1913
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Building Construction and Superintendence: Trussed roofs and roof trusses

Frank Eugene Kidder - 1906 - 320 pages
...proposition is the same as explained in ?4, page 1 6. 124. (3) — // any number of forces acting at a point can be represented in magnitude and direction by the sides of a polygon taken' in order, they will be in equilibrium. Thus, let A, B, C and D (Fig. 269) represent four forces applied at one...
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Mechanics: Problems for Engineering Students

Frank Berry Sanborn - 1906 - 214 pages
...changing the effect. Parallelogram of forces. When three forces that are in equilibrium meet in a point they can be represented in magnitude and direction by the sides of a parallelogram. This parallelogram is called the parallelogram of forces. 1. 2 Vertical components =...
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Telegraphy: A Detailed Exposition of the Telegraph System of the British ...

Thomas Ernest Herbert - 1906 - 946 pages
...well-known theorem in mechanics is required : — If three forces acting at a point he in equilibrium they can be represented in magnitude and direction by the sides of any trwngle irhicli is drawn so as to //ace tV-s sides respectively jxirallel to the directions of...
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Mechanics and Hydrostatics for Beginners

Sidney Luxton Loney - 1907 - 332 pages
...150° ' 2 3 and .R = 15Ibs. wt. 34. Polygon of Forces. If any number of forces, acting on a particle, be represented, in magnitude and direction, by the sides of a polygon, taken in order, the forces shall be in equilibrium. By the corollary to Art. 30, the resultant of forces AB and BG...
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Mechanics and Hydrostatics for Beginners

Sidney Luxton Loney - 1905 - 332 pages
...the Triangle of Forced 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 any triangle which is drawn so as to have its sides respectively parallel to the directions of the...
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Henley's Encyclopædia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - 1907 - 560 pages
...an extension of the triangle of forces, and states that if any number of forces acting on a particle can be represented in magnitude and direction by the sides of a closed polygon, those forces shall be in equilibrium. Given any number of forces such as p, Q, к,...
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Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1907 - 566 pages
...an extension of the triangle of forces, and states that if any number of forces acting on a particle can be represented in magnitude and direction by the sides of a closed polygon, those forces shall be in equilibrium. Given any number of forces such as p, Q, R, s,...
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The Architect's and Builder's Pocket-book: A Handbook for Architects ...

Frank Eugene Kidder - 1908 - 1760 pages
...will not be in equilibrium. The Polygon of Forces.— IV. // any number of forces acting at a point can be represented in magnitude and direction by the sides of a polygon taken in order, they will be in equilibrium. This proposition is only the preceding one carried to a greater extent....
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A Course of Instruction in Elementary Machine Design: Arranged for Use in ...

James David Hoffman - 1909 - 274 pages
...AО, ВО, CO, and DO, Fig. 6, acting upon the point, О ; these forces, if they are in equilibrium, can be represented in magnitude and direction by the sides of a polygon, whose sides are respectively parallel to the forces. Since a polygon, Fig. 7, so constructed does not...
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Mathematical Papers for Admission Into the Royal Military Academy and the ...

Royal Military Academy, Woolwich - 1909 - 456 pages
...be answered.] Gravitational acceleration = 32 foot-second units. 1. Three forces acting at a point can be represented in magnitude and direction by the sides of a triangle taken in order. Prove, from first principles, that the algebraic sum of the moments of the...
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