## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 80

Page 1

Force is recognized as acting in two ways : I ° so as to compel rest or to prevent

change of motion , and 2 ° so as to

therefore , is divided into two parts , which are conveniently called STATICS and

...

Force is recognized as acting in two ways : I ° so as to compel rest or to prevent

change of motion , and 2 ° so as to

**produce**or to change motion . Dynamics ,therefore , is divided into two parts , which are conveniently called STATICS and

...

Page 3

The definition in last section may evidently be extended to a plane polygon , and

the integral change of direction , or the angle between the first and last sides , is

then the sum of its exterior angles , all the sides being

The definition in last section may evidently be extended to a plane polygon , and

the integral change of direction , or the angle between the first and last sides , is

then the sum of its exterior angles , all the sides being

**produced**each in the ... Page 4

all the sides being

describes it while passing round the figure . This is true whether the polygon be

closed or not . If closed , then , as long as it is not crossed , this sum is four right

angles ...

all the sides being

**produced**each in the direction in which the moving pointdescribes it while passing round the figure . This is true whether the polygon be

closed or not . If closed , then , as long as it is not crossed , this sum is four right

angles ...

Page 14

is inversely as SY , that is , SZ is proportional to the velocity at P. Also | Proc .

R. S. 1865 . U SZ is perpendicular to the direction of motion PY , 14

PRELIMINARY ...

**Produce**YS to cut the circle again in Z. Then YS SZ is constant , and therefore SZis inversely as SY , that is , SZ is proportional to the velocity at P. Also | Proc .

R. S. 1865 . U SZ is perpendicular to the direction of motion PY , 14

PRELIMINARY ...

Page 15

But if another point U be taken in YS

locus of U is easily seen to be a circle . Hence the proposition is generally true for

all conic sections . The hodograph surrounds its origin if the orbit be an ellipse ...

But if another point U be taken in YS

**produced**, so that YS SU is constant , thelocus of U is easily seen to be a circle . Hence the proposition is generally true for

all conic sections . The hodograph surrounds its origin if the orbit be an ellipse ...

### 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