## Elements of Natural Philosophy, Part 1 |

### From inside the book

Results 6-10 of 21

Page 24

Investigation regarding complex

highest importance , having their most general ... We give below a graphic

representation of the composition of two simple

equal ...

Investigation regarding complex

**harmonic**functions has led to results of thehighest importance , having their most general ... We give below a graphic

representation of the composition of two simple

**harmonic**motions in one line , ofequal ...

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 give a simple

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 26

We must next take the case of the composition of simple

different kinds and in different lines . In general , whether these lines be in one

plane or not , the line of motion returns into itself if the periods are

commensurable ...

We must next take the case of the composition of simple

**harmonic**motions ofdifferent kinds and in different lines . In general , whether these lines be in one

plane or not , the line of motion returns into itself if the periods are

commensurable ...

Page 27

Another very important case is that of two groups of two simple

in one plane , such that the resultant of each group is uniform circular motion . If

their periods are equal , we have a case belonging to those already treated ...

Another very important case is that of two groups of two simple

**harmonic**motionsin one plane , such that the resultant of each group is uniform circular motion . If

their periods are equal , we have a case belonging to those already treated ...

Page 28

Before leaving for a time the subject of the composition of

must enunciate Fourier's Theorem , which is not only one of the most beautiful

results of modern analysis , but may be said to furnish an indispensable

instrument ...

Before leaving for a time the subject of the composition of

**harmonic**motions , wemust enunciate Fourier's Theorem , which is not only one of the most beautiful

results of modern analysis , but may be said to furnish an indispensable

instrument ...

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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