A Treatise of Mechanics, Theoretical, Practical, and Descriptive, Volume 1 |
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Page 49
... feet f , h , being fixed ; or , if other props mn , op , were applied , either parallel to the former , or having ... feet backward till the vertical line from the centre of gravity falls just before his feet ; this enables or indeed ...
... feet f , h , being fixed ; or , if other props mn , op , were applied , either parallel to the former , or having ... feet backward till the vertical line from the centre of gravity falls just before his feet ; this enables or indeed ...
Page 50
... feet upon the ground . But in running he takes one up before he sets the other down ; so that his feet touch the ground al- ternately for moments of time , and in the intermediate portions he does not touch it at all . : In walking up ...
... feet upon the ground . But in running he takes one up before he sets the other down ; so that his feet touch the ground al- ternately for moments of time , and in the intermediate portions he does not touch it at all . : In walking up ...
Page 51
... feet nearly at once , and the two hind feet nearly at once : all the time the line from the centre of gravity lies forward , so that the animal requires the fore feet to come to the ground at short intervals to prevent a fall . If the ...
... feet nearly at once , and the two hind feet nearly at once : all the time the line from the centre of gravity lies forward , so that the animal requires the fore feet to come to the ground at short intervals to prevent a fall . If the ...
Page 97
... feet standing at c and 1 ( fig . 1. pl . VII . ) , and the position of one of them as CA being fixed . Produce CA until it meet the vertical passing through & in F ; join IF , and it will cut AD in D , the place where the top of the ...
... feet standing at c and 1 ( fig . 1. pl . VII . ) , and the position of one of them as CA being fixed . Produce CA until it meet the vertical passing through & in F ; join IF , and it will cut AD in D , the place where the top of the ...
Page 98
... feet being supposed immoveable . COR . 1. The weight of the body , the pressure upon c △ , and the pressure upon ID , are respectively , as sine of ( c + 1 ) , cosine of 1 , and cosine of c . For , sin ( c + 1 ) = sin ABD , COS I = sin ...
... feet being supposed immoveable . COR . 1. The weight of the body , the pressure upon c △ , and the pressure upon ID , are respectively , as sine of ( c + 1 ) , cosine of 1 , and cosine of c . For , sin ( c + 1 ) = sin ABD , COS I = sin ...
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Common terms and phrases
accelerating force altitude angle angular velocity aperture applied axis barometer beam body centre of gravity centrifugal force centripetal force circle column consequently constant curve cycloid cylinder deduced denoted density descend described determine diameter direction discharged distance ditto effect elastic equal equation equilibrium evanescent experiments expression extrados feet fluent fluid fluxion force of gravity 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 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 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 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.