# A Course of Mathematics: For the Use of Academies as Well as Private Tuition : in Two Volumes, Volume 2

W. E. Dean, 1831

### Contents

 Spherical Trigonometry 14 Resolution of Spherical Triangles 42 Geodesic Operations 60 On Álgebraical Equations 114 Mechanics Definitions 149 Mechanical Powers 158 Equilibrium of Arches 180 Dynamics 189
 Practical Gunnery 219 Central Forces 232 Ballistic Pendulum 244 Buoyancy of Pontoons 257 Of Pneumatics 264 Of the Siphon 273 Of the Barometer 279 Strength of Gudgeons c 439

### Popular passages

Page 459 - Or, by an. 249 of the same, the pressure is equal to the weight of a column of the fluid...
Page 66 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.
Page 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 ;...
Page 239 - BPC) ; or, the pressure of a fluid on any surface is equal to the weight of a column of the fluid...
Page 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...
Page 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.
Page 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...
Page 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.
Page 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...
Page 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.