## Elements of Natural Philosophy, Part 1 |

### From inside the book

Results 1-5 of 47

Page 2

It is useful to consider at the outset various theorems connected with the

geometrical notion of the path

now take up , deferring the consideration of Velocity to a future section , as being

more ...

It is useful to consider at the outset various theorems connected with the

geometrical notion of the path

**described**by a moving point ; and these we shallnow take up , deferring the consideration of Velocity to a future section , as being

more ...

Page 5

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 hyperbola may be

...

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 hyperbola may be

**described**by the help of its analogous focal property...

Page 6

Thus we get the same result whether we derive 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 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 v 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 velocity , § 26 ) is more and more

nearly ...

In fact , if v 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 velocity , § 26 ) 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 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