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Σελίδα 136 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Σελίδα 169 - If a moving point possess simultaneously velocities which are represented in magnitude and direction by the two sides of a parallelogram drawn from a point, they are equivalent to a velocity which is represented in magnitude and direction by the diagonal of the parallelogram passing through the point.
Σελίδα 13 - If three forces, acting at a point, be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium...
Σελίδα 136 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Σελίδα 186 - The pressure at any point of a fluid at rest is the same in all directions. This may be proved experimentally by a modification of the experiment of the last article. For suppose any one of the pistons, D, to be so arranged that it may be turned into any other position, ie so that its plane may be made parallel to the planes of either A, B, or C or be made to take any other position whatever.
Σελίδα 181 - As a simple example consider the case of a particle tied to one end of a string, the other end of which is attached to a point of a smooth horizontal table.
Σελίδα 38 - Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.
Σελίδα 204 - S is the area of the plane surface and z is the depth of its centre of gravity below the surface of the liquid, the pressure of the air being neglected.
Σελίδα 41 - If the point 0, about which the moments are taken, lies on the resultant, the moment of the resultant about the point vanishes. In this case the algebraic sum of the moments of the component forces about the given point vanishes, ie The moments of two forces about any point on the line of action of their resultant are equal and of opposite sign. The student will easily be able to prove this theorem independently from a figure ; for, in Art.