## Elements of Natural Philosophy |

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Page 51

In one we consider a definite portion of the fluid ; follow it in its motions ; and

declare that the average

We thus obtain the equation of continuity in an integral form . The form under

which ...

In one we consider a definite portion of the fluid ; follow it in its motions ; and

declare that the average

**density**of the substance varies inversely as its volume .We thus obtain the equation of continuity in an integral form . The form under

which ...

Page 52

of the fluid , per unit of time , in the fixed space in question , bears to the actual

that space bears to the whole matter in that space . 165 . Several references have

...

of the fluid , per unit of time , in the fixed space in question , bears to the actual

**density**, at any instant , the same ratio that the rate of acquisition of matter intothat space bears to the whole matter in that space . 165 . Several references have

...

Page 56

Mass of a body , is proportional , according to Newton , to the Volume and the

than of mass ; for it shows us that if tivice the original quantity of matter , air for ...

Mass of a body , is proportional , according to Newton , to the Volume and the

**Density**conjointly . In reality , the definition gives us the meaning of**density**ratherthan of mass ; for it shows us that if tivice the original quantity of matter , air for ...

Page 57

of given capacity , the

that , of matter of uniform

volume or space it occupies . Let M be the mass , p the

volume , of a ...

of given capacity , the

**density**will be doubled , and so on . But it also shows usthat , of matter of uniform

**density**, the mass or quantity is proportional to thevolume or space it occupies . Let M be the mass , p the

**density**, and V thevolume , of a ...

Page 58

It is to be observed that , in what precedes , with the exception of the definition of

of no consequence so long as it does not rotate , and so long as its parts ...

It is to be observed that , in what precedes , with the exception of the definition of

**density**, we have taken no account of the dimensions of the moving body . This isof no consequence so long as it does not rotate , and so long as its parts ...

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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 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 produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire