## 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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**co**-**ordinates**of any point P in it . Then if OP be taken to represent R , the**co**-**ordinates**will represent the components , and therefore by Art . 25 , 20 y - Σ . F cos a Σ . F cos B Σ . F cos y which are the equations required . C If ... Page 18

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**co**-**ordinates**, let its**co**-**ordinates**be a , b , c ; then since the line whose equations are required passes through this point , x - a = Σ . F cos a y - b Σ . F cos B 2 - c = Σ . F cos y are the equations of it in this case . 38 . To ... Page 32

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**co**-**ordinate**axes refer the given forces and their points of application . ( fig . 15. ) 1 1 0 Let a1 , a2 .... a , be the inclinations of the lines in which the forces act to Ox ; x1Y1 , x2Y2 , .... xy , the**co**-**ordinates**of the ... Page 33

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**co**-**ordinates**of any point in the line R'K ( fig . 16 ) in which the resultant acts . Then because D this line passes through the point T and , being NON - PARALLEL FORCES IN A PLANE . 33. Page 36

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**co**-**ordinates**. It is necessary therefore only to observe that when a couple acts in a**co**-**ordinate**plane , it will be con- sidered a positive couple when its axis stands on the positive side of that plane . Thus a positive couple in ...### 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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