## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 72

Page 8

Hence the

whatever , whether in one plane or not , taken all in the same order , is zero .

Hence also the

but ...

Hence the

**resultant**of velocities represented by the sides of any closed polygonwhatever , whether in one plane or not , taken all in the same order , is zero .

Hence also the

**resultant**of velocities represented by all the sides of a polygonbut ...

Page 10

... to the square of the velocity divided by the radius of curvature . The whole

acceleration will , in every case , be the

measuring change of direction and the acceleration of actual velocity along the

curve . 40.

... to the square of the velocity divided by the radius of curvature . The whole

acceleration will , in every case , be the

**resultant**of the acceleration thusmeasuring change of direction and the acceleration of actual velocity along the

curve . 40.

Page 13

The moment of the

the components is equal to the algebraic sum of the moments of the components

, the proper sign of each moment depending on the direction of motion about the

...

The moment of the

**resultant**velocity of a particle about any point in the plane ofthe components is equal to the algebraic sum of the moments of the components

, the proper sign of each moment depending on the direction of motion about the

...

Page 17

This

sun relatively to the so - called fixed stars ; but , even if all these elements were

accurately known , it could not be said that we had attained any idea of an ...

This

**resultant**again we may compound with the ( roughly - known ) velocity of thesun relatively to the so - called fixed stars ; but , even if all these elements were

accurately known , it could not be said that we had attained any idea of an ...

Page 19

... whatever with reference to a second point B ; if B executes any other motion

with reference to a third point C ; and so on - the first is said to execute , with

reference to the last , a movement which is the

movements .

... whatever with reference to a second point B ; if B executes any other motion

with reference to a third point C ; and so on - the first is said to execute , with

reference to the last , a movement which is the

**resultant**of these severalmovements .

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### 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