## Elements of Natural Philosophy |

### From inside the book

Results 1-5 of 100

Page 18

We must - therefore consider how , from the actual motions of a set of

may find their relative motions with regard to any one of them ; and how , having

given the relative motions of all but one with regard to the latter , and the actual ...

We must - therefore consider how , from the actual motions of a set of

**bodies**, wemay find their relative motions with regard to any one of them ; and how , having

given the relative motions of all but one with regard to the latter , and the actual ...

Page 20

This is nearly the case with such

from the earth . Physically , the interest of such motions consists in the fact of their

being approximately those of the simplest vibrations of sounding

a ...

This is nearly the case with such

**bodies**as the satellites of Jupiter when seenfrom the earth . Physically , the interest of such motions consists in the fact of their

being approximately those of the simplest vibrations of sounding

**bodies**such asa ...

Page 32

Thus we see that if a

oppo . site directions , . about two parallel axes , it finally takes a position to which

it could have been brought by a simple translation per pendicular to the lines of ...

Thus we see that if a

**body**revolve in buccession through equal angles , but inoppo . site directions , . about two parallel axes , it finally takes a position to which

it could have been brought by a simple translation per pendicular to the lines of ...

Page 36

If a rigid

its points remains fixed , there is always ( without exception ) one line of it through

this point common to the

If a rigid

**body**move in any way whatever , subject only to the condition that one ofits points remains fixed , there is always ( without exception ) one line of it through

this point common to the

**body**in any two positions . Consider a spherical ... Page 37

... if a

produce rotation about a perpendicular ... the result will be a change of direction

of the axis about which the

... if a

**body**be rotating about an axis , and be subjected to an action tending toproduce rotation about a perpendicular ... the result will be a change of direction

of the axis about which the

**body**revolves , but no change in the angular velocity .### 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 important 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