## A Treatise of Mechanics, Theoretical, Practical, and Descriptive, Volume 1 |

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accelerating acting action angle appears applied axis base beam becomes body called cause centre of gravity circle common consequently considered constant continue curve denoted density descend described determine diameter direction distance draw effect equal equation equilibrium experiments expression fall feet fixed fluid follows force give given greater greatest Hence horizontal inches increased instant length less lever machine magnitude manner mass matter means measure motion moving nature nearly observations obtain parallel particles passing perpendicular plane position preceding pressure produce PROP proportional proposition quantity radius ratio represent resistance respect rest resultant sides similar sine solid space specific gravity square strength supposed surface tion triangle tube uniform vary velocity vertical vessel weight wheel whence whole

### Popular passages

Page vii - Studies serve for delight, for ornament, and for ability. Their chief use for delight, is in privateness and retiring; for ornament, is in discourse; and for ability, is in the judgment and disposition of business...

Page 215 - ... part more range for a double length of gun. — From the same table it also appears, that the time of the ball's flight is nearly as the range; the gun and elevation being

Page 365 - If any number of forces acting at a point can be represented in magnitude and direction by the sides of a POLYGON taken in order, they are in equilibrium.

Page 374 - ... so that the mass compounded of the two may sink together. Weigh the denser body and the compound mass, separately, both in water and out of it ; then find how much each loses in water, by subtracting its weight in water from its weight in air ; and subtract the less of these remainders from the greater. Then...

Page 274 - The centre of gyration is that point in which, if all the matter contained in a revolving system were collected, the same angular velocity will be generated in the same time by a given force acting at any place as would be generated by the same force acting similarly in the body or system itself.

Page 83 - ... will be transmitted by means of the fixed pulley d, to the point b ; and as the point e, on which the weight acts, is equally distant...

Page 6 - To every action there is always opposed an equal reaction: or, the mutual actions of two bodies upon each other are always equal and directed to contrary pans.

Page 418 - ... is equal to that which a heavy body would acquire in falling through a space equal to the depth of the opening below the surface of the fluid, and is expressed as follows: v—i/lgh.

Page 507 - ... part of the fathoms above found, and add them if the mean temperature be above 31°, but subtract them if the mean temperature be below 31°; and the sum or difference will be the true altitude in fathoms : or, being multiplied by 6, it will be the Altitude in feet. 392. Example 1. Let the state of the barometers and thermometers be as follows; to find the

Page 6 - Every body continues in its state of rest, or of uniform motion in a right line, unless it is compelled to change that state by forces impressed upon it.