## A Treatise on Statics: Containing the Theory of the Equilibrium of Forces; and Numerous Examples Illustrative of the General Principles of the Science |

### From inside the book

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**proportional**to the sine of the angle between the directions in which the other two act . Let the forces be P , Q , R ( fig . 5 ) acting in the directions OA , OB , OC . In OA , OB , take points A , B , such that OA , OB represent the ... Page 20

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**proportional**to those sides ( Art . 27 ) , .. Ff PQ AQ Similarly f ' F ' :: BQ : PQ : .. F : F ' :: BQ : _AQ ; • : • ƒ = ƒ ' . Consequently Q divides AB into two parts which are in- versely**proportional**to the forces adjacent to which ... Page 23

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**proportional**to the moment of a couple , being drawn perpendicular to the plane of the couple , is called " the axis of the couple . " And it is said to be the positive , or the negative axis , according as the perpendicular stands on ... Page 28

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**proportional**to their moments , are in this case**proportional**to their arms OA , OB , OD ; we may therefore consider OA , OB , OD as being equal to the axes . If therefore from O in the plane OBA , we draw three lines respectively ... Page 70

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**proportional**to the accelerating force of gravity , at the re- spective places . This force is generally denoted by g ; and hence we have for a given body Wag . Consequently , for different bodies at different places W∞ Mg . For ...### 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

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