## Elements of Natural Philosophy, Volume 1 |

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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 24

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 28

-A complex harmonic function , with a constant term added , is the proper

sufficient as a solution of the problem , —to find a complex harmonic function

-A complex harmonic function , with a constant term added , is the proper

**expression**, in mathematical language , for any ... Such an investigation issufficient as a solution of the problem , —to find a complex harmonic function

**expressing**a ... Page 35

IB = w.la . 0 Hence the line OI is instantaneously at rest , or the two rotations

about OA and OB may be compounded into one about 01. Draw Ip , Iq , parallel

to OB , OA respectively . Then ,

parallelogram ...

IB = w.la . 0 Hence the line OI is instantaneously at rest , or the two rotations

about OA and OB may be compounded into one about 01. Draw Ip , Iq , parallel

to OB , OA respectively . Then ,

**expressing**in two ways the area of theparallelogram ...

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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 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 remarkable 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