Elements of Natural Philosophy, Volume 1 |
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Page 2
When a point moves from one position to another it must evidently describe a
continuous line , which may be curved or straight , or even made up of portions of
curved and straight lines meeting each other at any angles . If the motion be that
of ...
When a point moves from one position to another it must evidently describe a
continuous line , which may be curved or straight , or even made up of portions of
curved and straight lines meeting each other at any angles . If the motion be that
of ...
Page 3
As two successive positions of it contain the second side of the polygon above
mentioned , it is evident that the osculating plane passes from one position to the
next by revolving about the tangent to the curve . 13. Thus , as we proceed along
...
As two successive positions of it contain the second side of the polygon above
mentioned , it is evident that the osculating plane passes from one position to the
next by revolving about the tangent to the curve . 13. Thus , as we proceed along
...
Page 5
... by different points of the string ; and these will , in general , be different curves .
But the following section shows that there is but one evolute . 22. Let AB be any
curve , PQ a portion of an involute , pP , qe positions of the free part of the string .
... by different points of the string ; and these will , in general , be different curves .
But the following section shows that there is but one evolute . 22. Let AB be any
curve , PQ a portion of an involute , pP , qe positions of the free part of the string .
Page 6
The rate of motion of a point , or its rate of change of position , is called its
Velocity . It is greater or less as the space passed over in a given time is greater
or less : and it may be uniform , i.e. the same at every instant ; or it may be
variable .
The rate of motion of a point , or its rate of change of position , is called its
Velocity . It is greater or less as the space passed over in a given time is greater
or less : and it may be uniform , i.e. the same at every instant ; or it may be
variable .
Page 10
... point we have given the whole velocity and its direction , or simply the
components of the velocity in three rectangular directions , at any time , or , as is
most commonly the case , for any position ; the determination of IO
PRELIMINARY .
... point we have given the whole velocity and its direction , or simply the
components of the velocity in three rectangular directions , at any time , or , as is
most commonly the case , for any position ; the determination of IO
PRELIMINARY .
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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 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