## Elements of Natural Philosophy, Part 1 |

### From inside the book

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Page 29

It is not necessary to suppose the figure to be a mere flat disc or plane - for the

preceding statements apply to any one of a set of parallel planes in a rigid

moving in any way subject to the condition that the points of any one plane in it ...

It is not necessary to suppose the figure to be a mere flat disc or plane - for the

preceding statements apply to any one of a set of parallel planes in a rigid

**body**,moving in any way subject to the condition that the points of any one plane in it ...

Page 31

Th is , a

directions , about two A B parallel axes , it finally takes a position to which it could

have been brought by a simple translation perpendicular to the lines of the

in its ...

Th is , a

**body**revolve in succession through equal angles , but in oppositedirections , about two A B parallel axes , it finally takes a position to which it could

have been brought by a simple translation perpendicular to the lines of the

**body**in its ...

Page 34

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 35

Let OA , OB be two axes about which a

w , respectively . With radius unity describe the arc AB , and in it take any point I.

Draw Ia , IB perpendicular to OA , OB respectively . Let the rotations about the two

...

Let OA , OB be two axes about which a

**body**revolves with angular velocities w ,w , respectively . With radius unity describe the arc AB , and in it take any point I.

Draw Ia , IB perpendicular to OA , OB respectively . Let the rotations about the two

...

Page 36

tending to produce rotation about a perpendicular axis , the result will be a

change of direction of the axis about which the

the angular velocity . 109. If a pyramid or cone of any form roll on a similar

pyramid ...

tending to produce rotation about a perpendicular axis , the result will be a

change of direction of the axis about which the

**body**revolves , but no change inthe angular velocity . 109. If a pyramid or cone of any form roll on a similar

pyramid ...

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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