Elements of Natural Philosophy, Part 1 |
From inside the book
Page 2
... point is at each instant the tangent drawn to its path , if the path be a curve ; or
the path itself if a straight line . This is evident from the definition of the tangent to
a curve . 9. If the path be not straight the direction of motion changes from point ...
... point is at each instant the tangent drawn to its path , if the path be a curve ; or
the path itself if a straight line . This is evident from the definition of the tangent to
a curve . 9. If the path be not straight the direction of motion changes from point ...
Page 6
23. 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 .
23. 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 7
8 driving - power to be made , we can evidently obtain an approximation to the
velocity at a particular instant , by considering ( § 25 ) the motion for so short a
time , that during that time the actual variation of speed may be small enough to
be ...
8 driving - power to be made , we can evidently obtain an approximation to the
velocity at a particular instant , by considering ( § 25 ) the motion for so short a
time , that during that time the actual variation of speed may be small enough to
be ...
Page 9
... the direction of acceleration of a moving point is to be found by the following
construction :From any point o draw lines OP , OQ , etc. , representing in
magnitude and direction the velocity of the moving point at every instant . (
Compare § 49. ) ...
... the direction of acceleration of a moving point is to be found by the following
construction :From any point o draw lines OP , OQ , etc. , representing in
magnitude and direction the velocity of the moving point at every instant . (
Compare § 49. ) ...
Page 10
... direction of motion , the velocity will not be alteredand the only effect of the
acceleration will be to make the point move in a curve whose curvature is
proportional to the acceleration at each instant , and inversely as the square of
the velocity .
... direction of motion , the velocity will not be alteredand the only effect of the
acceleration will be to make the point move in a curve whose curvature is
proportional to the acceleration at each instant , and inversely as the square of
the velocity .
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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 experience 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 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