A Treatise on Statics: Containing the Theory of the Equilibrium of Forces; and Numerous Examples Illustrative of the General Principles of the Science |
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Page 7
... increased , or all diminished in any pro- portion , without affecting the equilibrium . 20. It scarcely needs remarking , that if a set of forces balance each other , any one of them is equal to , and acts in an opposite direction to ...
... increased , or all diminished in any pro- portion , without affecting the equilibrium . 20. It scarcely needs remarking , that if a set of forces balance each other , any one of them is equal to , and acts in an opposite direction to ...
Page 21
... increases , the point Q moves continually farther from B , and BQ becomes infinite in the ultimate state ; and at the same time the resultant R di- minishes in such a manner that the product R.BQ never changes , and becomes zero in the ...
... increases , the point Q moves continually farther from B , and BQ becomes infinite in the ultimate state ; and at the same time the resultant R di- minishes in such a manner that the product R.BQ never changes , and becomes zero in the ...
Page 57
... increasing its distance from it , and every such increase arises from displacement parallel to , and therefore in the direction of EF . Now at A the distance from EG is Aa , and at B the distance is Bb , consequently the velocity ...
... increasing its distance from it , and every such increase arises from displacement parallel to , and therefore in the direction of EF . Now at A the distance from EG is Aa , and at B the distance is Bb , consequently the velocity ...
Page 137
... increase * of P will gradually produce a motion in W , and thus separate the obstacles ; but this mode of working ... increased by diminishing its angle DBE . All cutting instruments , such as knives , swords , hatchets , chisels ...
... increase * of P will gradually produce a motion in W , and thus separate the obstacles ; but this mode of working ... increased by diminishing its angle DBE . All cutting instruments , such as knives , swords , hatchets , chisels ...
Page 139
... increases in proportion as the distance between the threads diminishes , and as the length of the lever at which the power acts increases ; therefore , by making the threads of the screw sufficiently fine , we may increase the advantage ...
... increases in proportion as the distance between the threads diminishes , and as the length of the lever at which the power acts increases ; therefore , by making the threads of the screw sufficiently fine , we may increase the advantage ...
Common terms and phrases
A₁ axes axle balance beam Cambridge catenary centre of gravity chain co-ordinates conditions of equilibrium consequently cord cos² couple cylinder density direction distance draw equal to zero equation equi F₁ F₂ find the centre find the position fixed axis fixed point forces acting forces F friction frustum fulcrum given Hence horizontal plane inclined plane length lever librium m₁ machine magnitude motion moveable osculating plane parabola parallelogram parallelopiped particle passing perpendicular position of equilibrium pressure proportional pulley pyramid radii radius represent resolved respectively rest resultant right angles rigid body screw shew smooth string suppose surface suspended T₁ Taylor's theorem tension thread three forces triangle Trinity College University of Cambridge vertex virtual velocities weight wheel Wherefore ΣΖ ΣΥ ΣΧ
Popular passages
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