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

Campbell, 1812 - Mathematics

What people are saying -Write a review

We haven't found any reviews in the usual places.

Contents

 Spherical Trigonometry 25 On Geodesic Operations and the Figure of the Earth 59 Principles of Polygonometry 96 of Motion Forces 109 Collision of Bodies 121 Laws of GravityDescent of heavy bodiesJMotion of Projectiles 128 Practical Gunnery 141 The Mechanical Powers 154
 Of the Piling of Balls and Shells 245 On the JVature and Solution of Equations in general 258 On the JVature and Properties of Curves and the Construction of Geo 273 THE DOCTRINE OF FLUXIONS 304 Of second third c Fluations 314 Of Furions and Fluents 333 Of JMarima and JMinima 351 Of Rectifications or to find the lengths of Curve Lines 358

 Centre of Gravity 169 Strength and stress of beams c 181 Centre of Percussion 193 Centre of Gyration 199 Of Hydraulics 212 Of the Syphon 227 Thermometer 233 ractical Exercises concerning Specific Gravity 239
 To find Logarithms 364 of Involute and Evolute curves 370 Practical Questions 376 On the JMotion of Bodies in Fluids 402 On the Motion of Machines and their Maximum effects 416 Theory and Practice ºf Gunnery 444 Promiscuous Problems and Exercises in JMechanics Statics Pynam 480 Jidditions 555

Popular passages

Page 437 - Or, by art. 3 14 of the same, the pressure is equal to the weight of a column of the fluid...
Page 13 - In any plane triangle, the sum of any two sides is to their difference, as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 155 - MECHANICAL POWERS are certain simple instruments employed in raising greater weights, or overcoming greater resistance than could be effected by the direct application of natural strength. They are usually accounted six in number; viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 241 - 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 240 - As the weight lost in water is to the whole, or absolute weight ; so is the specific gravity of water ' " to "the specific gravity 'of the body . 2.
Page 155 - LBVER is any inflexible rod, bar, or beam, which serves to raise weights, while it is supported at a point by a fulcrum or prop, which is the centre of motion. The lever is supposed to be void of gravity or weight, to render the demonstrations easier and simpler.
Page 451 - It has been found, by these experiments, that no difference is caused in the velocity, or range, by varying the weight of the gun, nor by the use of wads, nor by different degrees of ramming, nor by firing the charge of powder in different parts of it.
Page 82 - The surface of a spherical triangle is measured by the excess of the sum of its three angles above two right angles, multiplied by the tri-rectangular triangle.
Page 304 - ... small parts, but as generated by continued motion, by means of which they increase or decrease ; as a line by the motion of a point ; a surface by the motion of a line ; and a solid by the motion of a surface.
Page 128 - 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...