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amount angle of friction apparatus applied ascertain attached axis ball beam body bridge calculated values cast iron centre of gravity centrifugal force chain circumference clamped clock column cord cycloid deflection descend diameter distance effect ellipse employed energy equal equilibrium exerted fibres foot-pounds force acting formula friction fulcrum greater groove hence hook horizontal inch isochronous knife-edges lecture length lever machine means mechanical efficiency mechanical powers motion move moveable pulley necessary observed oscillation overcome parallel forces parallelogram parallelogram of force particle piece pine pinion placed plane position pounds power in lbs pressure principle produced pull pulley-block raise the load resistance result ring rope screw shown in Fig side simple pendulum slide spring balance stone weight strain strength strut sufficient suppose surface suspended Table teeth tray velocity ratio vertical vibration wheel and axle wire wood wrought iron
Page 124 - An equilibrium is produced in all the levers, when the weight multiplied by its distance from the fulcrum is equal to the product of the power multiplied by its distance from the fulcrum.
Page 251 - ... others. Moreover, the extant fragment by Anthemius himself (on burning mirrors) proves the property of mirrors of parabolic section, using the properties of the parabola (a) that the tangent at any point makes equal angles with the axis and with the focal distance of the point, and (b) that the distance of any point on the curve from the focus is equal to its distance from a certain straight line (our...
Page 113 - ... them. The upper block P is furnished with a hook for attachment to a support. The sheave it contains resembles two sheaves, one a little smaller than the other, fastened together ; they are in fact one piece. The grooves are furnished with ridges which prevent the chain from slipping around them. The v lower pulley Q consists of one sheave /which is also furnished with a groove, it carries a hook to which the load is attached. The endless chain performs a part that will be understood by the arrow...
Page 9 - Theorem. Parallelogram of Forces. If two forces, acting at a point, be represented in magnitude and direction by the two sides of a parallelogram drawn from one of its angular points, their resultant is represented both in magnitude and direction by the diagonal of the parallelogram passing through that angular point.
Page 241 - Galileo's suppositions that small vibrations of the pendulum are isochronous, and that the space traversed by a falling body is proportional to the square of the time it has been falling.