## Elements of Natural Philosophy |

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Page 70

A curling - stone , projected along a horizontal surface of ice , travels equal

distances , except in so far as it is retarded by friction and by the

air , in successive intervals of time during which the earth turns through equal

angles .

A curling - stone , projected along a horizontal surface of ice , travels equal

distances , except in so far as it is retarded by friction and by the

**resistance**of theair , in successive intervals of time during which the earth turns through equal

angles .

Page 73

This , when the

from it we conclude that the weight of a body in any given locality , or the force

with which the earth attracts it , is proportional to its mass ; a most important ...

This , when the

**resistance**of the air is removed , is the case of falling bodies ; andfrom it we conclude that the weight of a body in any given locality , or the force

with which the earth attracts it , is proportional to its mass ; a most important ...

Page 74

In à previous discussion Newton has shown what is to be under . stood by the

velocity of a force or

application of the force reşolved in the direction of the force , in fact proportional

to the virtual ...

In à previous discussion Newton has shown what is to be under . stood by the

velocity of a force or

**resistance**; i . e . that it is the velocity of the point ofapplication of the force reşolved in the direction of the force , in fact proportional

to the virtual ...

Page 78

... no acceleration ; but if there be acceleration , part of the work is expended in

overcoming the

developed is equivalent to the work so spent . This is evident from $ 180 . When

part ...

... no acceleration ; but if there be acceleration , part of the work is expended in

overcoming the

**resistance**to acceleration , and the additional kinetic energydeveloped is equivalent to the work so spent . This is evident from $ 180 . When

part ...

Page 80

No motion in nature can take place without meeting

not to all , of these influences . ... and left to move freely in the air , as falling

bodies , or as projectiles , they expe rience

the air .

No motion in nature can take place without meeting

**resistance**due to some , ifnot to all , of these influences . ... and left to move freely in the air , as falling

bodies , or as projectiles , they expe rience

**resistance**owing to the viscosity ofthe air .

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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