## Elements of Natural Philosophy, Volume 1 |

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Page 11

This is the case of a body falling vertically in vacuo under the action of

this case the space described in any interval is that which would be described in

the same time by a point moving uniformly with a velocity equal to that at the ...

This is the case of a body falling vertically in vacuo under the action of

**gravity**. Inthis case the space described in any interval is that which would be described in

the same time by a point moving uniformly with a velocity equal to that at the ...

Page 54

Force is wholly expended in the Action it produces ; and the body , after the force

ceases to act , retains by its inertia the direction of motion and the velocity which

were given to it . Force may be of divers kind , as pressure , or

Force is wholly expended in the Action it produces ; and the body , after the force

ceases to act , retains by its inertia the direction of motion and the velocity which

were given to it . Force may be of divers kind , as pressure , or

**gravity**, or friction ... Page 55

Even the most rigid substances , when brought together , do not touch at a point

merely , but mould each other so as to produce a surface of application . On the

other hand ,

...

Even the most rigid substances , when brought together , do not touch at a point

merely , but mould each other so as to produce a surface of application . On the

other hand ,

**gravity**is a force of which the place of application is the whole matter...

Page 56

We have P = Wg . The force of

. According to the common system followed in modern mathematical treatises on

dynamics , the unit of mass is g times the mass of the standard or unit weight .

We have P = Wg . The force of

**gravity**on the body , in gravitation units , is W . 186. According to the common system followed in modern mathematical treatises on

dynamics , the unit of mass is g times the mass of the standard or unit weight .

Page 57

This formula , with the two co - efficients which it involves , corrected according to

modern pendulum observations , is as follows : Let G be the apparent force of

.

This formula , with the two co - efficients which it involves , corrected according to

modern pendulum observations , is as follows : Let G be the apparent force of

**gravity**on a unit mass at the equator , and g that in any latitude 1 ; then g = G ( 1 +.

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### Common terms and phrases

acceleration according acting action amount angle angular applied attraction axes axis becomes body called centre centre of inertia circle cloth component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium evidently expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path period perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire

### Popular passages

Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.

Page 9 - Persius. The Satires. With a Translation and Commentary. By John Conington, MA, late Corpus Professor of Latin in the University of Oxford. Edited by H. Nettleship, MA Second Edition.

Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.

Page 10 - Crown 8vo. cloth, 7s. 6d. A Treatise on Electricity and Magnetism. By J. Clerk Maxwell, MA, FRS, Professor of Experimental Physics in the University of Cambridge.

Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.

Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.

Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.

Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.

Page 9 - An Elementary Treatise on Quaternions. By PG TAIT, MA, Professor of Natural Philosophy in the University of Edinburgh ; formerly Fellow of St Peter's College, Cambridge. Second Edition. Demy 8vo. 14*.

Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.