A Course of Mathematics: For the Use of Academies as Well as Private Tuition : in Two Volumes, Band 2W. E. Dean, 1831 |
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Seite 151
... weight , be acted on by a motive force of 40 ; then the accelerating force is 20. But if the same force of 40 act on another body of 4 pounds weight ; then the accelerating force in this latter case is only 10 ; and so is but half the ...
... weight , be acted on by a motive force of 40 ; then the accelerating force is 20. But if the same force of 40 act on another body of 4 pounds weight ; then the accelerating force in this latter case is only 10 ; and so is but half the ...
Seite 156
... weight , which is sustained by two strings drawing in the direc- tions DA , DB : then the force or tension of the string AD , is to the weight c , or tension of the string Dc , as DE to DC ; and the force or tension of the other string ...
... weight , which is sustained by two strings drawing in the direc- tions DA , DB : then the force or tension of the string AD , is to the weight c , or tension of the string Dc , as DE to DC ; and the force or tension of the other string ...
Seite 158
... weight , to render the demonstrations easier and simpler . There are three kinds of levers . " 46. A Lever of the First kind has the prop c be- tween the weight w and the power P. And of this kind are balances , scales , crows , hand ...
... weight , to render the demonstrations easier and simpler . There are three kinds of levers . " 46. A Lever of the First kind has the prop c be- tween the weight w and the power P. And of this kind are balances , scales , crows , hand ...
Seite 159
... weight , which is its most natural measure , acting downward ; but having its direction changed , when neces sary , by means of a fixed pulley . 51. PROP . When the weight and power keep the lever in equilibrio , they are to each other ...
... weight , which is its most natural measure , acting downward ; but having its direction changed , when neces sary , by means of a fixed pulley . 51. PROP . When the weight and power keep the lever in equilibrio , they are to each other ...
Seite 160
... weight into the distance of its direction . That is , P X CE = W X CD . 55. Corol . 4. If the lever , with the weight and power fixed to it , be made to move about the centre c ; the mo . mentum of the power will be equal to the ...
... weight into the distance of its direction . That is , P X CE = W X CD . 55. Corol . 4. If the lever , with the weight and power fixed to it , be made to move about the centre c ; the mo . mentum of the power will be equal to the ...
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Häufige Begriffe und Wortgruppen
abscissas altitude axis ball base beam becomes body centre of gravity chords circle consequently Corol cosine curve denote density descending determine diameter direction distance draw earth equa equal equation equilibrio EXAM expression feet find the fluent fluid fluxion force given plane ground line Hence horizontal plane hyperbola inches inclined plane intersection length logarithm measure motion multiplied nearly ordinates parabola parallel pendulum perpendicular pressure prob PROBLEM PROP proportional quantity radius ratio rectangle resistance right angles right line roots Scholium side sine solid angle space specific gravity spherical angle spherical excess spherical triangle square straight line supposed surface tangent theorem theref tion velocity vertex vertical plane vertical projections vibrations weight whole
Beliebte Passagen
Seite 459 - Or, by an. 249 of the same, the pressure is equal to the weight of a column of the fluid...
Seite 66 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
Seite 195 - VI, its Corollaries and Scholium, for Constant Forces, are true in the Motions of. Bodies freely descending by their own Gravity ; namely, that the Velocities are as the Times, and the Spaces as the Squares of the Times, or as the Squares of the Velocities. FOR, since the force of gravity is uniform, and constantly the same, at all places near the earth's surface, or at nearly the same distance from the centre of the earth ; and since • this is the force by which bodies descend to the surface ;...
Seite 239 - BPC) ; or, the pressure of a fluid on any surface is equal to the weight of a column of the fluid...
Seite 289 - The workmen thought that substituting part silver was only a proper <perquisite; which taking air, Archimedes was appointed to examine it ; who, on putting...
Seite 35 - Two planes are said to have the same or a like inclination to one another which two other planes have, when the said angles of inclination are equal to one another.
Seite 75 - Let a, b, c, be the sides, and A, B, c, the angles of a spherical triangle, on the surface of a sphere whose radius is r ; then...
Seite 385 - Multiply the number in the table of multiplicands, by the breadth and square of the depth, both in inches, and divide that product by the length, also, in inches; the quotient will be the weight in Jbs.t Example 1.
Seite 244 - 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...
Seite 140 - Body is either Hard, Soft, or Elastic. A Hard Body is that whose parts do not yield to any stroke or percussion, but retains its figure unaltered. A Soft Body is that whose parts yield^to any stroke or impression, without restoring themselves again ; the figure of the body remaining altered.