## Of Motion; an elementary treatise1859 |

### From inside the book

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... initial direction of motion , and that in which the acceleration takes place : let this be the plane of the paper , and let A be the

... initial direction of motion , and that in which the acceleration takes place : let this be the plane of the paper , and let A be the

**initial position**of the moving point , AT the direction of the motion at A , yA the direction of the ... Page 25

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**initial position**of the moving point , then C will = 0 , for s and t vanish together . If the moving point be initially at rest , then v ' = 0 . - L. dv v2 Also a = v = C + as ; as 9 2 v'2 when s = 0 , v = v , : . C = C = ; and v2 ... Page 27

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**initially**at rest at a given**position**in space . ( j ) If the acceleration be constant , the notion is that de- termined in Arts . 38-41 . 51. ( ij ) Let the acceleration vary as the distance from the fixed point , its direction being ... Page 30

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**initial position**( a ' ) to the**initial position**( a ) of the first point . These two equations will determine a and 7 ; and as both points have the same velocity at the distance a , and also there is the same acceleration on the motion ... Page 35

... positions under consideration , and is inde- pendent of the particular path described . ( NEWTON , Prop . 40. ) 66 ...

... positions under consideration , and is inde- pendent of the particular path described . ( NEWTON , Prop . 40. ) 66 ...

**initial position**of rest , its motion being affected by a constant acceleration a , the direc- tion of which is ...### Other editions - View all

### Common terms and phrases

acceleration produced apse axes axis balls called center of force circle complete oscillation conic section considered constant acceleration cos² curve cycloid d²r d²x described determine the motion Differential Calculus direction of motion distance ds dt dt dt dt dt² dx dy elastic ellipse equal equation experiments fixed point force acting geometrical h²C horizontal hyperbola idea impact impulse inclined plane initial direction initial position initial velocity initially at rest latus rectum Law of Motion mass material bodies measure moving point NEWTON obtained orbit parabola parallelogram particle path perpendicular point be moving quantity of matter radius vector Second Edition semi-latus rectum shew sin² 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