## Elements of Natural Philosophy, Volume 1 |

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Page

We have had considerable difficulty in compiling this treatise from the larger work

- arising from the necessity for condensation to a degree almost incompatible

with the design to omit nothing of

given ...

We have had considerable difficulty in compiling this treatise from the larger work

- arising from the necessity for condensation to a degree almost incompatible

with the design to omit nothing of

**importance**: and we feel that it would havegiven ...

Page 5

But the consideration of evolutes is of some

especially in certain mechanical and optical questions , and we shall therefore

devote a section or two to this application of Kinematics . Def . If a flexible and ...

But the consideration of evolutes is of some

**importance**in Natural Philosophy ,especially in certain mechanical and optical questions , and we shall therefore

devote a section or two to this application of Kinematics . Def . If a flexible and ...

Page 11

From the principles already laid down , a great many interesting results may be

deduced , of which we enunciate a few of the simpler and more

the velocity of a moving point be uniform , and if its direction revolve uniformly in

a ...

From the principles already laid down , a great many interesting results may be

deduced , of which we enunciate a few of the simpler and more

**important**. ( a ) Ifthe velocity of a moving point be uniform , and if its direction revolve uniformly in

a ...

Page 14

An

Smith ? It consists in drawing a curve , which may be called the tidal hodograph

with reference to any point of a chart for which the tidal currents are to be

specified ...

An

**important**improvement in nautical charts has been suggested by ArchibaldSmith ? It consists in drawing a curve , which may be called the tidal hodograph

with reference to any point of a chart for which the tidal currents are to be

specified ...

Page 15

Bi we may also prove this

the circle , and the hodographic origin . Join OA and draw the perpendiculars PM

to OA and ON to PA . Then OP is the velocity in the orbit : and ON , being ...

Bi we may also prove this

**important**proposition as follows : Let A be the centre ofthe circle , and the hodographic origin . Join OA and draw the perpendiculars PM

to OA and ON to PA . Then OP is the velocity in the orbit : and ON , being ...

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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