## Elements of Natural Philosophy, Volume 1 |

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Page 1

Force is recognized as acting in two ways : I ° so as to compel

change of motion , and 2 ° so as to produce or to change motion . Dynamics ,

therefore , is divided into two parts , which are conveniently called STATICS and

...

Force is recognized as acting in two ways : I ° so as to compel

**rest**or to preventchange of motion , and 2 ° so as to produce or to change motion . Dynamics ,

therefore , is divided into two parts , which are conveniently called STATICS and

...

Page 8

Hence if a point have , at the same time , velocities represented by OA , AC , and

Co , the sides of a triangle taken in the same order , it is at

resultant of velocities represented by the sides of any closed polygon whatever ...

Hence if a point have , at the same time , velocities represented by OA , AC , and

Co , the sides of a triangle taken in the same order , it is at

**rest**. Hence theresultant of velocities represented by the sides of any closed polygon whatever ...

Page 18

one . to one of their number , imagine , impressed upon each in composition with

its own motion , a motion equal and opposite to the motion of that one , which will

thus be reduced to

one . to one of their number , imagine , impressed upon each in composition with

its own motion , a motion equal and opposite to the motion of that one , which will

thus be reduced to

**rest**, while the motions of the others will remain the same ... Page 32

Hence , as ( is momentarily at

is one of internal rolling on a circle of double its diameter . Hence if a circle roll

internally on another of twice its diameter any point in its circumference describes

...

Hence , as ( is momentarily at

**rest**, the motion of the circle circumscribing OBQAis one of internal rolling on a circle of double its diameter . Hence if a circle roll

internally on another of twice its diameter any point in its circumference describes

...

Page 35

0 Hence the line OI is instantaneously at

OB may be compounded into one about 01. Draw Ip , Iq , parallel to OB , OA

respectively . Then , expressing in two ways the area of the parallelogram 1p0q ,

we ...

0 Hence the line OI is instantaneously at

**rest**, or the two rotations about OA andOB may be compounded into one about 01. Draw Ip , Iq , parallel to OB , OA

respectively . Then , expressing in two ways the area of the parallelogram 1p0q ,

we ...

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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