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

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Page

... and Shells - - Pa. 286 Of the Piling of

the Velocity of Sound - - Practical Exercises in Mechanics, Statics, Hydrostatics,

Sound, Motion, Gravity, Projectiles, and other Branches of Natural Philosophy ...

... and Shells - - Pa. 286 Of the Piling of

**Balls**and Shells 289 0|| Of Distances bythe Velocity of Sound - - Practical Exercises in Mechanics, Statics, Hydrostatics,

Sound, Motion, Gravity, Projectiles, and other Branches of Natural Philosophy ...

Page 70

... an Argund lamp. This brilliant light is obtained from a small

–8.hs of an inch diameter, placed in the focus of the reflector, and exposed to a

very intense heat by means of a simple apparatus, of which a description is given

...

... an Argund lamp. This brilliant light is obtained from a small

**ball**of lime about 3–8.hs of an inch diameter, placed in the focus of the reflector, and exposed to a

very intense heat by means of a simple apparatus, of which a description is given

...

Page 201

... and the other body b will move on with the whole velocity of the for. mer; a thing

which we sometimes see happen in playing at billiards; and which would happen

much oftener if the

... and the other body b will move on with the whole velocity of the for. mer; a thing

which we sometimes see happen in playing at billiards; and which would happen

much oftener if the

**balls**were perfectly elastic. v, the velocities in this case. Page 204

ExAM. 1. A cannon

second, meets another of 18lbs. moving with a velocity of 1000 feet per second.

Required the velocity of each after impact, supposing both to be nonelastic.

ExAM.

ExAM. 1. A cannon

**ball**weighing 12lbs. moving with a velocity of 1200 feet persecond, meets another of 18lbs. moving with a velocity of 1000 feet per second.

Required the velocity of each after impact, supposing both to be nonelastic.

ExAM.

Page 208

If an arrow be propelled vertically upwards from a bow with a velocity of 963 feet

per second, how high will it rise, and how long will it be before it returns again to

the ground ! 6. If a

If an arrow be propelled vertically upwards from a bow with a velocity of 963 feet

per second, how high will it rise, and how long will it be before it returns again to

the ground ! 6. If a

**ball**be projected vertically downwards with a ve. locity of 100 ...### What people are saying - Write a review

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### Common terms and phrases

absciss altitude axis ball base beam becomes body centre of gravity chords circle conic surface consequently Corol cosine curve cylinder denote density descending determine diameter direction distance draw earth equa equal equation equilibrio ExAM expression feet find the fluent fluid force given plane ground line Hence horizontal plane hyperbola inches inclined plane intersection length logarithm measure motion moving multiplied nearly ordinate parabola parallel pendulum perpendicular position 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 tion variable velocity vertex vertical plane vertical projections vibrations weight whole

### Popular passages

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 465 - Or, by art. 249 of the same, the pressure is equal to the weight of a column of the fluid...

Page 70 - To prove that the exterior angle of a triangle is equal to the sum of the two interior opposite angles (see fig.

Page 295 - 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 154 - 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 245 - BPC) ; or, the pressure of a fluid on any surface is equal to the weight of a column of the fluid...

Page 297 - In the doctrine of fluxions, magnitudes or quantities of all kinds are considered as not made up of a number of 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 250 - 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 490 - The reason is, all bodies lose some of their weight in a fluid, and the weight which a body loses in a fluid, is to its whole weight, as the specific gravity of the fluid is to that of the body.

Page 457 - ... horizontal *. 2. The theorems just given may serve to show, in what points of view machines ought to be considered by those who would labour beneficially for their improvement. The first object of the utility of machines consists in furnishing the means of giving to the moving force the most commodious direction ; and, when it can be done, of causing its action to be applied immediately to the body to be moved. These can rarely be united : but the former can be accomplished in most instances...