## Elements of Natural Philosophy |

### From inside the book

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Page 24

If any number of pulleys be so placed that a cord passing from a fixed point half

moved with simple harmonia motions of any ranges and any periods in lines ...

If any number of pulleys be so placed that a cord passing from a fixed point half

**round**each of them has its free parts all lo parallel lines , and if their centres bemoved with simple harmonia motions of any ranges and any periods in lines ...

Page 26

Pil motion of a point Q

if moving BI A in the direction indicated by the arrow , will 10 P give a simple

harmonic motion of p , in B'A ' , a quarter of a period behind that of the motion of P

...

Pil motion of a point Q

**round**the circumference of this circle ; and the same point ,if moving BI A in the direction indicated by the arrow , will 10 P give a simple

harmonic motion of p , in B'A ' , a quarter of a period behind that of the motion of P

...

Page 30

... clearly equal to the angle through which B the figure must have turned

the point o to bring it from the first to the second position . The preceding simple

construction therefore enables us not only to demonstrate the general proposition

...

... clearly equal to the angle through which B the figure must have turned

**round**the point o to bring it from the first to the second position . The preceding simple

construction therefore enables us not only to demonstrate the general proposition

...

Page 37

... and some of the seemingly marvellous performances of gyroscopes and

gyrostats . 109. If a pyramid or cone of any form roll on a similar pyramid ( the

image in a plane mirror of the first position of the first ) all

back to ...

... and some of the seemingly marvellous performances of gyroscopes and

gyrostats . 109. If a pyramid or cone of any form roll on a similar pyramid ( the

image in a plane mirror of the first position of the first ) all

**round**, it clearly comesback to ...

Page 39

This plane turns

which must clearly bear a constant ratio to the angular velocity w of the rigid body

about its instantaneous axis . 117. The motion of the plane containing these axes

is ...

This plane turns

**round**the axis of the fixed cone with an angular velocity d ,which must clearly bear a constant ratio to the angular velocity w of the rigid body

about its instantaneous axis . 117. The motion of the plane containing these axes

is ...

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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 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