## 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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**radius**of the Earth ( 4,000 miles , nearly ) we may consider the surface of still water as a horizontal plane to a small extent , and consequently the verticals as parallel . 129. Hence , in every body , and in every rigid system of ... Page 100

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**radius**. 8 Given the altitude ( c ) and the radii ( a , b ) of the ends of a parabolic frustum , to find its centre of gravity ; C a2 + 2b2 x = • 3 a2 + b2 and y = 0 : being measured along the axis from the smaller end whose 100 CENTRE ... Page 101

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**radius**is a . Ex . 3. In a cone , generated by the revolution of a right - angled triangle about one of its sides , = of that side . Ex . 4. In the solid formed by the revolution of a semi - cycloid about its axis , a 9π2 32 G X = 3 9π2 ... Page 105

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**radius**of its base , the co- ordinates of its centre of gravity will be 166 x = 2/2 a , 7 = z y = 2 = 15π 179. To find the centre of gravity of a surface of revo- lution . Employing the notation and figure of Art . 177 , let u be the ... Page 106

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**radius**of the base of the cone , the equation of the line by which the surface is generated is bx y = a · ds = ( 1 + 2 ) * dx .. · [ ( yds ) = f bx2 α dx ( 1 + - ) dz - ( 1 + 2 ) 2 + C = 2 a α C ; which , taken between the limits = 0 ...### 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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