An Elementary Treatise on Mechanics: Intended for the Use of Colleges and Universities

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Deighton's, 1847 - Mechanics - 191 pages
 

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Page 37 - If three forces, represented in magnitude and direction by the sides of a triangle, act on a point, they will keep it at rest.
Page 150 - Therefore the velocities of falling bodies are proportional to the times of their falls. QED , Prop. II. The spaces described by the fall of a body are as the squares of the times, from the beginning of the fall. Let...
Page 24 - The Lever, Definition of Lever. Axioms. Prop. 1. A horizontal prism or cylinder of uniform density will produce the same effect by its weight as if it were collected at its middle point.
Page 36 - If a moving point possess simultaneously velocities which are represented in magnitude and direction by the two sides of a parallelogram drawn from a point, they are equivalent to a velocity which is represented in magnitude and direction by the diagonal of the parallelogram passing through the point.
Page 38 - If 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 are in equilibrium.
Page 101 - There is an equilibrium upon the wheel and axle when the power is to the weight as the radius of the axle to the radius of the wheel.
Page 26 - If two forces acting perpendicularly on a straight lever in opposite directions and on the same side of the fulcrum balance each other, they are inversely as their distances from the fulcrum ; and the pressure on the fulcrum is equal to the difference of the forces.
Page 34 - Definition of Component and Resultant Forces. Prop. 8. If the adjacent sides of a parallelogram represent the component forces in direction and magnitude, the diagonal will represent the resultant force in direction and magnitude.
Page 104 - But of all the modes of communicating motion, the most extensively useful is the employment of wheelwork, which is capable of varying its direction and its velocity without any limit. Wheels are sometimes turned by simple contact with each other ; sometimes by the intervention of cords, straps, or chains, passing over them ; and in these cases the minute protuberances of the surfaces, or whatever else may be the cause of friction, prevents their sliding on each other.
Page 5 - M any cause which moves or tends to move a body, or which changes or tends to change its motion.

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