## Elements of Natural Philosophy |

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Page 4

The mathematical condition to be

distance measured along the line from any one point to any other , remains

constant , however the line be bent . 17 . The use of a cord in mechanism

presents us ...

The mathematical condition to be

**expressed**in any case of it is simply that thedistance measured along the line from any one point to any other , remains

constant , however the line be bent . 17 . The use of a cord in mechanism

presents us ...

Page 6

Uniform velocity is measured by the space . passed over in unit of time , and is ,

in general ,

case of light , it may be measured in miles per second . It is to be observed that

Time ...

Uniform velocity is measured by the space . passed over in unit of time , and is ,

in general ,

**expressed**in feet or in metres per second ; if yery great , as in thecase of light , it may be measured in miles per second . It is to be observed that

Time ...

Page 21

( In the formula . the period is 2I ] The Phase of a simple harmonic motion at any

instant is an

has reached . It is borrowed from the popular

( In the formula . the period is 2I ] The Phase of a simple harmonic motion at any

instant is an

**expression**used to designate the part of its whole period which ithas reached . It is borrowed from the popular

**expression**phases of the moon . Page 25

Investigation regarding complex harnionic functions has led to results of the

highest importance , having their most general

, to be presently enunciated . We give below a graphic representation of the ...

Investigation regarding complex harnionic functions has led to results of the

highest importance , having their most general

**expression**in Fourier ' s Theorem, to be presently enunciated . We give below a graphic representation of the ...

Page 27

... may be effected by adding their components in each of any three reci . angular

directions . The final resultant motion is thus fully

the rectangular co - ordinates as ' complex harmonic functions ' of the time . 85 .

... may be effected by adding their components in each of any three reci . angular

directions . The final resultant motion is thus fully

**expressed**by formulae givingthe rectangular co - ordinates as ' complex harmonic functions ' of the time . 85 .

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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