## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 21

Page 14

The invention of this construction is due to Sir W. R. Hamilton ; and one of the

most beautiful of the many

Hodograph for the motion of a planet or comet is always a circle , whatever be the

form ...

The invention of this construction is due to Sir W. R. Hamilton ; and one of the

most beautiful of the many

**remarkable**theorems to which it leads is this : TheHodograph for the motion of a planet or comet is always a circle , whatever be the

form ...

Page 47

From this follows the

after another , in any piece of matter , each without rotation , may be so adjusted

as to leave the Q1 PP body unstrained , but rotated through some angle ...

From this follows the

**remarkable**corollary that three pure strains produced oneafter another , in any piece of matter , each without rotation , may be so adjusted

as to leave the Q1 PP body unstrained , but rotated through some angle ...

Page 65

If the universe of matter were finite , its centre of inertia might fairly be considered

as absolutely at rest ; or it might be imagined to be moving with any uniform

velocity in any direction whatever through But it is

...

If the universe of matter were finite , its centre of inertia might fairly be considered

as absolutely at rest ; or it might be imagined to be moving with any uniform

velocity in any direction whatever through But it is

**remarkable**that the first law of...

Page 67

A

. Since forces are measured by the changes of motion they produce , and their

directions assigned by the directions in which these changes are produced ; and

...

A

**remarkable**consequence follows immediately from this view of the second law. Since forces are measured by the changes of motion they produce , and their

directions assigned by the directions in which these changes are produced ; and

...

Page 69

In the scholium appended , he makes the following

introducing another specification of actions and reactions subject to his third law ,

the full meaning of which seems to have escaped the notice of commentators :Si

...

In the scholium appended , he makes the following

**remarkable**statement ,introducing another specification of actions and reactions subject to his third law ,

the full meaning of which seems to have escaped the notice of commentators :Si

...

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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