## Of Motion: An Elementary Treatise |

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**First**law of motion 102. Experiments to prove it ( 1 ) If a particle be at**rest**it will remain at**rest**. ( 2 ) If it be in motion , its path is a straight line . ( 3 ) In this case , its velocity is constant . 103. Special dynamical ... Page 20

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**initial**direction of motion . I.**First**, then , let the direction of the acceleration be coin- cident with the direction of motion : here it is plain that the path will be a straight line . 39. If the point move from**rest**and pass over ... Page 25

... initial position of the moving point , then will = 0 , for s and t vanish together . If the moving C point be

... initial position of the moving point , then will = 0 , for s and t vanish together . If the moving C point be

**initially at rest**, then v ' = 0 . L. da v2 Also av J. = C + as ; ds " 2 when s = 0 , v = v ' , : . C- 12 and v2 - v'2 = 2as ... Page 27

... initial direction of motion pass through the fixed point , then it is clear that the path is a straight line . We shall , for simplicity's sake , consider the moving point to be

... initial direction of motion pass through the fixed point , then it is clear that the path is a straight line . We shall , for simplicity's sake , consider the moving point to be

**initially at rest**at a given position in space . ( j ) If ... Page 29

... and -a , and that the time of a complete oscillation is 4 . which is independent of the initial π = 2π 2√ √ ? position of the moving point . ( NEWTON , Prop . 38. ) 55. If the point were not

... and -a , and that the time of a complete oscillation is 4 . which is independent of the initial π = 2π 2√ √ ? position of the moving point . ( NEWTON , Prop . 38. ) 55. If the point were not

**initially at rest**, TIME OF OSCILLATION . 29.### Other editions - View all

### Common terms and phrases

acceleration produced apse axes axis balls center of force chord circle co-ordinates complete oscillation conic section considered constant acceleration cos˛ curve cycloid described determine the motion Differential Calculus direction of motion ds dt dt˛ dx dy earth's elastic ellipse equal equation fixed point focus force acting geometrical horizontal hyperbola idea impact impulse inclined plane initial direction initial position initial velocity initially at rest instant under consideration latus rectum Law of Motion material bodies measure moving point negative NEWTON obtained Octavo orbit origin parabola parallelogram particle path perpendicular point be moving quantity of matter radius vector Second Edition Sermons shew sin˛ space passed Statics straight line string supposed tangent tion Treatise Trinity College units of space University of Cambridge v'cos v₁ velocity acquired vertex vertical vis viva weight whence ᏧᎾ

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