## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 43

Page 4

The mathematical condition to be expressed in any case of it is simply that the

distance measured along the line from any one point to any other ,

constant , however the line be bent . 17. The use of a cord in mechanism

presents us ...

The mathematical condition to be expressed in any case of it is simply that the

distance measured along the line from any one point to any other ,

**remains**constant , however the line be bent . 17. The use of a cord in mechanism

presents us ...

Page 9

In Newton's notation v is used to express the acceleration in the direction of

motion ; and , if v = s as in § 28 , we have a = v = j . 34. But there is another form

in which acceleration may manifest itself . Even if a point's velocity

unchanged ...

In Newton's notation v is used to express the acceleration in the direction of

motion ; and , if v = s as in § 28 , we have a = v = j . 34. But there is another form

in which acceleration may manifest itself . Even if a point's velocity

**remain**unchanged ...

Page 12

For the velocity ( V ) in the original direction of motion

therefore , in time t , a space Vt is described parallel to this line . But in the same

interval , by the above reasoning , we see that a space fata is described parallel

to ...

For the velocity ( V ) in the original direction of motion

**remains**unchanged ; andtherefore , in time t , a space Vt is described parallel to this line . But in the same

interval , by the above reasoning , we see that a space fata is described parallel

to ...

Page 16

... one , as the rate of increase of the angle contained by them ; but unless their

line of intersection

more laboured statement is required to give a complete specification of the

motion .

... one , as the rate of increase of the angle contained by them ; but unless their

line of intersection

**remain**fixed , or at all events parallel to itself , a somewhatmore laboured statement is required to give a complete specification of the

motion .

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 rest , while the motions of the others will

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 ...### What people are saying - Write a review

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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