## 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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**respective**mag- nitudes of these forces . Complete the parallelograms , and draw the diagonals as in fig . 2. The resultant of p and q acts in the direction AE , by hypothesis ; and we may by Art . 21 , suppose it to act at E ; and we ... Page 11

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**respectively**parallel to the direc- tions in which P , Q , R act . Two , at least , ( AB , BE suppose ) represent the directions of the corresponding forces ; and we are at liberty to suppose that one of these ( AB suppose ) represents ... Page 12

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**respectively**make with Ox . Then the components of these forces are**respectively**Ficos a 1 , F cos a2 , F3 cos a ..... ...... F2 cos an n in the direction Ox ; and F , sin a 12 FORCES ACTING IN A PLANE ON A POINT . Page 13

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**respectively**equivalent to two forces acting in the lines Ox , Oy ( Art . 23 ) , and being equal to 1 2 F1 cos a1 + F2 cos α2 + F3 cos αз ... + + F2 cos an a3 and F , sin a1 + F2 sin a2 + F ̧ sin + + F2 sin a ,. 1 2 ... n Let R be the ... Page 15

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**respectively**represented by the three edges of a parallelo- piped which meet , the diagonal of the parallelopiped drawn from that point to the opposite corner will represent their resultant . For let OA , OB , OC ( fig . 6 ) be the ...### 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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