## Elements of Natural Philosophy, Volume 1 |

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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 2 PRELIMINARY .

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 2 PRELIMINARY .

Page 3

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

whose

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

Page 4

all the

describes it while passing round the figure . This is true whether the polygon be

closed or not . If closed , then , as long as it is not crossed , this sum is four right

angles ...

all the

**sides**being produced each in the direction in which the moving pointdescribes it while passing round the figure . This is true whether the polygon be

closed or not . If closed , then , as long as it is not crossed , this sum is four right

angles ...

Page 8

OC is evidently the diagonal of the parallelogram two of whose

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

represented by the third

OC is evidently the diagonal of the parallelogram two of whose

**sides**are OA , OB. 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 ОАС . Hence if a point have ... Page 20

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

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

referred to , measured from any fixed point to the uniformly moving point l , is the

...

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

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

referred to , measured from any fixed point to the uniformly moving point l , is the

...

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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 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 remarkable 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