What people are saying - Write a review
We haven't found any reviews in the usual places.
Other editions - View all
algebraical sum arms axis Axle balance base beam block body called centre of gravity circle components consider couple cylinder denote described determine direction displacement distance draw drawn equal equilibrium example fall feet forces acting four friction fulcrum give given heavy Hence horizontal impact inches inclined plane Join length lever line of action machine magnitude mechanical meet middle point moments motion move obtain opposite parallel forces parallelogram particle passes perpendicular placed plane position Power preceding pressure principle produced projection proportional proposition Pully radius ratio represented resolved respectively rest resultant right angles rigid round shew sides single smooth straight line string supported Suppose system of forces tension third tion triangle turn uniform unit vanishes velocity vertical weight Wheel whole
Page 260 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 327 - ... that the squares of the periodic times are proportional to the cubes of the mean distances of the planets from the Sun.
Page 16 - Conversely, if three forces act on a particle, and each force is proportional to the sine of the angle between the other two...
Page 10 - ... represented in magnitude and direction by that diagonal of the parallelogram which passes through the particle.
Page 134 - This proportion teaches us that, when in equilibrium, the power is to the weight as the height of the plane is to its length.
Page 13 - The nature of force is now, and always will be, unknown.' Force is known only by its effects: A point or particle at rest cannot give itself any motion since there is no reason why it should move in one direction rather than another. But if the particle is not forced to move upon a determinate curve, the curve which it describes possesses a singular property, which has been discovered by metaphysical considerations, ie between any two points is less than on every other curve, if the body be free,...
Page 74 - The intersection of the straight lines which join the middle points of opposite sides of any quadrilateral, is the middle point of the straight line which joins the middle points of the diagonals (I.
Page 290 - A ball is projected in a given direction within a fixed horizontal hoop, so as to go on rebounding from the surface of the hoop ; find the limit to which the velocity will approach, and shew that it attains this limit in a finite time, e being less than 1.