## Elements of Natural Philosophy, Volume 1 |

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Results 1-5 of 57

Page 47

It is clear that these three elementary component strains may be

other order as well as that stated . Thus , if the simple elongation is made first ,

the body thus altered must get just the same shear in planes perpendicular to the

...

It is clear that these three elementary component strains may be

**applied**in anyother order as well as that stated . Thus , if the simple elongation is made first ,

the body thus altered must get just the same shear in planes perpendicular to the

...

Page 55

The point of the finest needle , or the edge of the sharpest knife , is still a surface ,

and acts as such on the bodies to which it may be

substances , when brought together , do not touch at a point merely , but mould ...

The point of the finest needle , or the edge of the sharpest knife , is still a surface ,

and acts as such on the bodies to which it may be

**applied**. Even the most rigidsubstances , when brought together , do not touch at a point merely , but mould ...

Page 59

... preceding statement , by making the parts into which we divide them

sufficiently small . On this understanding the preceding definition may be

to define the centre of inertia of a system of material points , whether given equal

or not .

... preceding statement , by making the parts into which we divide them

sufficiently small . On this understanding the preceding definition may be

**applied**to define the centre of inertia of a system of material points , whether given equal

or not .

Page 66

If any force generates motion , a double force will generate double motion , and

so on , whether simultaneously or successively , instantaneously or gradually ,

...

If any force generates motion , a double force will generate double motion , and

so on , whether simultaneously or successively , instantaneously or gradually ,

**applied**. And this motion , if the body was moving beforehand , is either added to...

Page 67

... be the equivalent of any number of simultaneously acting forces . Hence The

resultant of any number of forces (

same geometrical process as the resultant of any number of simultaneous

velocities .

... be the equivalent of any number of simultaneously acting forces . Hence The

resultant of any number of forces (

**applied**at one point ) is to be found by thesame geometrical process as the resultant of any number of simultaneous

velocities .

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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.