## Elements of Natural Philosophy, Part 1 |

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Results 1-5 of 53

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

... or the edge of the sharpest knife , is still a surface , and acts as such on the

bodies to which it may be

brought together , do not touch at a point merely , but mould each other so as to

produce a ...

... 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 rigid substances , whenbrought together , do not touch at a point merely , but mould each other so as to

produce a ...

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 body called centre centre of inertia circle 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 experience 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 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