## Elements of Natural Philosophy, Volume 1 |

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Page 1

were , from Kinematics into Dynamics , and vice versa . This is merely mentioned

now in order to show the necessity for , and the value of , the preliminary matter

we ...

**Observation**and experiment have afforded us the means of translating , as itwere , from Kinematics into Dynamics , and vice versa . This is merely mentioned

now in order to show the necessity for , and the value of , the preliminary matter

we ...

Page 6

It is well to

48 in the caexpresse and since nothing has been said as to the magnitudes of 8

and t , we may take these as small as we choose . Thus we get the same result ...

It is well to

**observe**here , that since , by our formula , we have generally e of It is48 in the caexpresse and since nothing has been said as to the magnitudes of 8

and t , we may take these as small as we choose . Thus we get the same result ...

Page 17

Their relative motions with regard to the deck are what we immediately

but if we compound with these the velocity of the steamer itself we get evidently

their actual motion relatively to the earth . Again , in order to get the relative ...

Their relative motions with regard to the deck are what we immediately

**observe**,but if we compound with these the velocity of the steamer itself we get evidently

their actual motion relatively to the earth . Again , in order to get the relative ...

Page 52

The axioms of the present chapter must therefore be considered to be due to

actual experience , in the shape either of

experience is to be conducted will form the subject of a subsequent chapter . 172

.

The axioms of the present chapter must therefore be considered to be due to

actual experience , in the shape either of

**observation**or experiment . How suchexperience is to be conducted will form the subject of a subsequent chapter . 172

.

Page 56

It must , of course , be specified in what latitude the

let W be the mass of a body in pounds ; g the velocity it would acquire in falling

for a second under the influence of its weight , or the earth ' s attraction

diminished ...

It must , of course , be specified in what latitude the

**observation**is made . Thus ,let W be the mass of a body in pounds ; g the velocity it would acquire in falling

for a second under the influence of its weight , or the earth ' s attraction

diminished ...

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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.