## Elements of Natural Philosophy, Part 1 |

### From inside the book

Results 6-10 of 72

Page 23

...

proportional to the sines of the abscissae , the straight line in which moves being

the axis of abscissae . It is the simplest possible form assumed by a vibrating

string ...

...

**gives**the harmonic curve , or curve of sines , in which the ordinates areproportional to the sines of the abscissae , the straight line in which moves being

the axis of abscissae . It is the simplest possible form assumed by a vibrating

string ...

Page 24

We

harmonic motions in one line , of equal amplitudes and of periods which are as 1

: 2 and as 2 : 3 , the epochs being each a quarter circumference . The horizontal

line is ...

We

**give**below a graphic representation of the composition of two simpleharmonic motions in one line , of equal amplitudes and of periods which are as 1

: 2 and as 2 : 3 , the epochs being each a quarter circumference . The horizontal

line is ...

Page 25

The given motion A of P in BA will be ( § 67 ) defined by the motion of a point Q

round the circumference PH of this circle ; and the same point , if moving in the

direction indicated by the arrow , will B IO P

in ...

The given motion A of P in BA will be ( § 67 ) defined by the motion of a point Q

round the circumference PH of this circle ; and the same point , if moving in the

direction indicated by the arrow , will B IO P

**give**a simple harmonic motion of P ' ,in ...

Page 28

Unfortunately it is impossible to

some rather troublesome analysis , which is foreign to the purpose of so

elementary a treatise as the present . The following seems to be the most

intelligible form ...

Unfortunately it is impossible to

**give**a satisfactory proof of it without introducingsome rather troublesome analysis , which is foreign to the purpose of so

elementary a treatise as the present . The following seems to be the most

intelligible form ...

Page 29

Very many interesting applications of this principle may be made , of which ,

however , few belong strictly to our subject , and we shall therefore

example or two . Thus we know that if a line of given length AB move with its ...

Very many interesting applications of this principle may be made , of which ,

however , few belong strictly to our subject , and we shall therefore

**give**only anexample or two . Thus we know that if a line of given length AB move with its ...

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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