## Elements of Natural Philosophy |

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Page 2

In this category we shall first take up the free motion of a point , then the motion of

a point attached to an inextensible cord , then the motions and displacements of

In this category we shall first take up the free motion of a point , then the motion of

a point attached to an inextensible cord , then the motions and displacements of

**rigid**systems — and finally , the deformations of solid and fluid masses . 7 . Page 30

We now pass to the considération of the displacement of a

points whose relative positions are unalterable . The simplest case we can

consider is that of the motion of a plane figure in its own plane , and this , as far

as ...

We now pass to the considération of the displacement of a

**rigid**body or group ofpoints whose relative positions are unalterable . The simplest case we can

consider is that of the motion of a plane figure in its own plane , and this , as far

as ...

Page 31

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

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 33

From this it immediately follows , that any displacement of a

in directions wholly perpendicular to a ' fixed line , may be produced by the rolling

of a cylinder fixed in the solid on another cylinder fixed in ' space , the axes of ...

From this it immediately follows , that any displacement of a

**rigid**solid , which isin directions wholly perpendicular to a ' fixed line , may be produced by the rolling

of a cylinder fixed in the solid on another cylinder fixed in ' space , the axes of ...

Page 36

If a

its 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 ...

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 ...

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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 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