## Elements of Natural Philosophy, Part 1 |

### From inside the book

Results 11-15 of 77

Page 16

We may also speak of the angular velocity of a moving plane with respect to a

fixed one , as the rate of increase of the angle contained by them ; but unless

their line of intersection remain fixed , or at all events

somewhat ...

We may also speak of the angular velocity of a moving plane with respect to a

fixed one , as the rate of increase of the angle contained by them ; but unless

their line of intersection remain fixed , or at all events

**parallel**to itself , asomewhat ...

Page 21

... to B'A produced . We have obviously P'R = CP ( being projections of the equal

and

point R executes the V C resultant of the motions P and P. But CS , KINEMATICS

.

... to B'A produced . We have obviously P'R = CP ( being projections of the equal

and

**parallel**lines OS , CQ , on CR ) . Hence CŘ = CP + CP ; and therefore thepoint R executes the V C resultant of the motions P and P. But CS , KINEMATICS

.

Page 28

The lines AA ' , BB will not be

considered . Hence the line equidistant from A and A will meet that equidistant

from B and B in some point 0. Join OA , OB , OA ' , OB ' . Then , evidently ,

because OA ...

The lines AA ' , BB will not be

**parallel**, except in one case to be presentlyconsidered . Hence the line equidistant from A and A will meet that equidistant

from B and B in some point 0. Join OA , OB , OA ' , OB ' . Then , evidently ,

because OA ...

Page 29

The lines equidistant from A and A ' , and from B and B , áre

distant , and the theorem becomes nugatory . In this case the motion is in fact a

simple ...

The lines equidistant from A and A ' , and from B and B , áre

**parallel**if AB is**parallel**to A'B ' ; and therefore the construction fails , the point being infinitely Adistant , and the theorem becomes nugatory . In this case the motion is in fact a

simple ...

Page 31

In B this case A'B ' is evidently

is a ation only . Th is , a body revolve in succession through equal angles , but in

opposite directions , about two A B

In B this case A'B ' is evidently

**parallel**to AB , and therefore the compound resultis a ation only . Th is , a body revolve in succession through equal angles , but in

opposite directions , about two A B

**parallel**axes , it finally takes a position to ...### What people are saying - Write a review

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### 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 experience 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 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