## Elements of Natural Philosophy |

### From inside the book

Results 1-5 of 63

Page 2

The curvature at any point is the reciprocal of the radius of this circle for a small

arc on each

called a plane curve , and if it be made up of portions of straight or curved lines it

...

The curvature at any point is the reciprocal of the radius of this circle for a small

arc on each

**side**of the point . 11. If all the points of the curve lie in one plane , it iscalled a plane curve , and if it be made up of portions of straight or curved lines it

...

Page 3

The nature of this will be best understood by considering the curve as a polygon

whose

a plane -- and in that plane the curvature is measured as above ; but in a curve ...

The nature of this will be best understood by considering the curve as a polygon

whose

**sides**are , indefinitely small . Any two consecutive**sides**, of course , lie ina plane -- and in that plane the curvature is measured as above ; but in a curve ...

Page 8

Hence the resultant of any two velocities as OA , AC , in the figure , is a velocity

represented by the third

the same time , velocities represented by OA , AC , and Co , the

Hence the resultant of any two velocities as OA , AC , in the figure , is a velocity

represented by the third

**side**, OC , of the triangle QAÇ . Hence if a point have , atthe same time , velocities represented by OA , AC , and Co , the

**sides**of a ... Page 20

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

of the middle point of the course , i . e . Õ A or QA ' in the figure An arc of the circle

referred to , or any convenient angular reckoning of it , measured from any ...

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

**side**or the otherof the middle point of the course , i . e . Õ A or QA ' in the figure An arc of the circle

referred to , or any convenient angular reckoning of it , measured from any ...

Page 22

... equal to their amplitudes measured on lines meeting at an angle equal to their

difference of epochs ; and of epoch differing from P their epochs by angles equal

to those C which this diagonal makes with the two

... equal to their amplitudes measured on lines meeting at an angle equal to their

difference of epochs ; and of epoch differing from P their epochs by angles equal

to those C which this diagonal makes with the two

**sides**of the parallelogram .### 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 expression figure fixed fluid force friction give given gravity harmonic Hence increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path period perpendicular plane portion position potential practical pressure principle produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire