A Course of Mathematics: For the Use of Academies as Well as Private Tuition : in Two Volumes, Band 2W. E. Dean, 1831 |
Im Buch
Ergebnisse 1-5 von 59
Seite 183
... EXAM . 4. To determine the requisite thickness over any point of an elliptical arch . - t , DC = c , Here , taking x , y , and a , as before , take Ac HQ , being perpendicular to the tangent HT . Then , by the property of the ellipse ...
... EXAM . 4. To determine the requisite thickness over any point of an elliptical arch . - t , DC = c , Here , taking x , y , and a , as before , take Ac HQ , being perpendicular to the tangent HT . Then , by the property of the ellipse ...
Seite 184
... EXAM . 5. For the Catenary . ( See the fig . to Exam . 2. ) Here , put DR = x , GR = Y , DG = z , t = tension at the vertex D when the chain hangs from A and B. Then , by the nature of the curve z2 = 2x + x2 , subtang . TR = zy t = R ...
... EXAM . 5. For the Catenary . ( See the fig . to Exam . 2. ) Here , put DR = x , GR = Y , DG = z , t = tension at the vertex D when the chain hangs from A and B. Then , by the nature of the curve z2 = 2x + x2 , subtang . TR = zy t = R ...
Seite 204
... EXAM . 2. B and b are as 3 to 2 , and the velocity of B is to that of b as 5 to 4. They are perfectly hard , and move before impact in the same direction ; what are the velocities lost by в and gained by b ? EXAM . 3. в and b are ...
... EXAM . 2. B and b are as 3 to 2 , and the velocity of B is to that of b as 5 to 4. They are perfectly hard , and move before impact in the same direction ; what are the velocities lost by в and gained by b ? EXAM . 3. в and b are ...
Seite 220
... EXAM . 2. If a shell be found to range 1000 yards when discharged at an elevation of 45 ° ; how far will it range when the elevation is 30 ° 16 ' , the charge of powder being the ' same ? Ans . 2612 feet , or 871 yards . EXAM . 3. The ...
... EXAM . 2. If a shell be found to range 1000 yards when discharged at an elevation of 45 ° ; how far will it range when the elevation is 30 ° 16 ' , the charge of powder being the ' same ? Ans . 2612 feet , or 871 yards . EXAM . 3. The ...
Seite 221
... ÈXAM . 8. In what time will a shell range 3250 feet , at an elevation of 32 ° ? Ans . 11 sec . nearly . EXAM . 9. How far will a shot range on a plane which ascends 8 ° 15 ' , and another which descends 8 ° 15 ' ; the im . petus being ...
... ÈXAM . 8. In what time will a shell range 3250 feet , at an elevation of 32 ° ? Ans . 11 sec . nearly . EXAM . 9. How far will a shot range on a plane which ascends 8 ° 15 ' , and another which descends 8 ° 15 ' ; the im . petus being ...
Andere Ausgaben - Alle anzeigen
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.