## Elements of Natural Philosophy |

### From inside the book

Results 1-5 of 58

Page 2

... of an infinite force . It is useful to con . sider at the oatset various theorems

connected with the geometrical notion of the path

and these we shall now take up , deferring the consideration of Velocity to a

future ...

... of an infinite force . It is useful to con . sider at the oatset various theorems

connected with the geometrical notion of the path

**described**by a moving point ;and these we shall now take up , deferring the consideration of Velocity to a

future ...

Page 5

... pencil will trace the curve . By a ruler moveable about one focus , and a string

attached to a point in the ruler and to the other focus , and kept tight by a pencil

sliding along the edge of the ruler , the hyperbolā may be

of ...

... pencil will trace the curve . By a ruler moveable about one focus , and a string

attached to a point in the ruler and to the other focus , and kept tight by a pencil

sliding along the edge of the ruler , the hyperbolā may be

**described**by the helpof ...

Page 6

Thus -we get the same result whether we derive v from the space

million seconds , or from that

very useful , as it makes our results intelligible when a variable velocity has to be

...

Thus -we get the same result whether we derive v from the space

**described**in amillion seconds , or from that

**described**in a millionth of a second . This idea isvery useful , as it makes our results intelligible when a variable velocity has to be

...

Page 7

In fact , if u be the velocity at either beginning or end , or at any instant , of an

interval t , and s the space actually

which expresses the definition of the average yelocity , fe6 ) is more and more

nearly ...

In fact , if u be the velocity at either beginning or end , or at any instant , of an

interval t , and s the space actually

**described**in that interval ; the equation v = ; (which expresses the definition of the average yelocity , fe6 ) is more and more

nearly ...

Page 8

... for instance , represents in magniB tude and direction the space which would

be

-- and similarly OB for the second ; from A draw AC parallel and equal to OB .

... for instance , represents in magniB tude and direction the space which would

be

**described**in one second by a point moving with the first of the given velocities-- and similarly OB for the second ; from A draw AC parallel and equal to OB .

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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 expression figure fixed fluid force friction give given gravity harmonic Hence increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path period perpendicular plane portion position potential practical pressure principle produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire