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

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accelerating force altitude angle angular velocity aperture applied arch axis barometer beam body centre of gravity centrifugal force centripetal force circle column compression consequently constant cord curve cycloid cylinder deduced denoted density descend described determine diameter direction discharged distance effect elastic equal equation equilibrium evanescent experiments expression extrados feet fluent fluid fluxion forces acting given Hence horizontal inches inclined plane instant inversely latter length lever machine magnitude manner mercury motion nearly orifice parabola parallel parallelogram parallelogram of forces particles passing pendulum percussion perpendicular piston plane pressure produce Prop proportional proposition quantity of water radius ratio resistance respect resultant right line rotation SCHOLIUM sides sine solid solid of rotation space specific gravity square supposed surface tangent theorem theory tion triangle tube velocity vertex vertical vessel voussoirs 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 217 - ... 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 367 - 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 376 - ... 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 276 - 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 85 - ... 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 8 - 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 420 - ... 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 509 - ... 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 8 - 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.