## 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 ,

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 very great , as in the caseof light , it may be measured in miles per second . It is to be observed that Time ...

Page 21

The Phase of a simple harmonic motion at any instant is an

designate the part of its whole period which it has reached . It is borrowed from

the popular

we ...

The Phase of a simple harmonic motion at any instant is an

**expression**used todesignate the part of its whole period which it has reached . It is borrowed from

the popular

**expression**phases of the moon . Thus for Simple Harmonic Motionwe ...

Page 25

Investigation regarding complex harmonic 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 harmonic 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 rect . 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 rect . 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 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