## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 41

Page 4

all the sides being produced each in the direction in which the moving point

describes it while passing round the

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 point

describes it while passing round the

**figure**. This is true whether the polygon beclosed or not . If closed , then , as long as it is not crossed , this sum is four right

angles ...

Page 8

These propositions are virtually equivalent to the following obvious geometrical

construction :To compound any two velocities as 9A , OB in the

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

These propositions are virtually equivalent to the following obvious geometrical

construction :To compound any two velocities as 9A , OB in the

**figure**; where OA, for instance , represents in magniB tude and direction the space which would ...

Page 13

Hence the sum of the two half - moments together with half the area of the

parallelogram is equal to AOB together with BOD , that is to say , to the area of

the whole

Hence the sum of the two half - moments together with half the area of the

parallelogram is equal to AOB together with BOD , that is to say , to the area of

the whole

**figure**OABD . But ABD , a part of this**figure**, is equal to half the area ... Page 20

The Amplitude of a simple harmonic motion is the range on one side or the other

of the middle point of the course , i.e. OA or OA ' in the

referred to , measured from any fixed point to the uniformly moving point l , is the

...

The Amplitude of a simple harmonic motion is the range on one side or the other

of the middle point of the course , i.e. OA or OA ' in the

**figure**. An arc of the circlereferred to , measured from any fixed point to the uniformly moving point l , is the

...

Page 25

But , since A'OA , QPO , and QP'0 are right angles , the

parallelogram , and therefore is in the position of the displacement compounded

of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines

, of ...

But , since A'OA , QPO , and QP'0 are right angles , the

**figure**B ' QP OP is aparallelogram , and therefore is in the position of the displacement compounded

of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines

, of ...

### 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