## Elements of Natural Philosophy |

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Page 1

The circumstances of mere motion , considered without reference to the bodies ,

by the motion , constitute the subject of a branch of Pure Mathematics , which is ...

The circumstances of mere motion , considered without reference to the bodies ,

**moved**, or to the forces producing the motion , or to the forces called into actionby the motion , constitute the subject of a branch of Pure Mathematics , which is ...

Page 2

The direction of motion of a

its path , if the path be a curve ; or the path itself if a straight line . This is evident

from the definition of the tangent to a curve : 9. If the path be not straight the ...

The direction of motion of a

**moving**point is at each instant the tangent drawn toits path , if the path be a curve ; or the path itself if a straight line . This is evident

from the definition of the tangent to a curve : 9. If the path be not straight the ...

Page 3

... the integral change of direction , or the angle between the first and last sides ,

is then the sum of its exterior angles , all the sides being produced , each in the

direction in which the

... the integral change of direction , or the angle between the first and last sides ,

is then the sum of its exterior angles , all the sides being produced , each in the

direction in which the

**moving**point describes it while passing round the figure . Page 4

polygon be closed or not . If closed , then , as long as it is not crossed , this sum is

four right angles , -an extension of the result in Euclid , where all reëntrant ...

**moving**point describes it while passing round the figure . This is true whether thepolygon be closed or not . If closed , then , as long as it is not crossed , this sum is

four right angles , -an extension of the result in Euclid , where all reëntrant ...

Page 6

When the point does not

different successive instants : but we define the ... That there is at every instant a

definite velocity for any

...

When the point does not

**move**uniformly , the velocity is variable , or different atdifferent successive instants : but we define the ... That there is at every instant a

definite velocity for any

**moving**point , is evident to all , and is matter of everyday...

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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 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