## Of Motion; an elementary treatise1859 |

### From inside the book

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Page iv

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**tion**; " and I think that if any editor of Newton should in future replace the words " force " and " body " by " accele- ration " and " point , " he will do good service to the cause of philosophy . But I have also considered the case ... Page viii

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**TION**, THE DIRECTION OF WHICH IS ALWAYS THE SAME . 38. Rectilinear motion at2 39 . 8 = 2 40. v2 = 2a8 at2 41. s = v't + . ; 2 v2 - v'2 = 2as • 20 ib . 21 ib . 42. Parabolic motion 43. Position of the focus ib . 23 44. Position of the ... Page 11

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**tion**, and if a ' , a " be the greatest and least values of the accelera-**tion**during the time St , then dv < a'st and > a " St ; Ev < a ' , and > a " , δε and as a ' , a " have the same limit a when St is indefinitely diminished , we ... Page 32

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**tion**of the equation a = or dt or v 9 ds d's dt2 , ; a being given in terms of t , v , or s by the conditions of the problem . 61. ( II ) Let the initial direction of motion not pass through the fixed point ; then it is clear that the ... Page 35

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**tion**of which is always the same ; and if s1 be the space described when the point's velocity is v , we shall have ( by Art . 40 ) S1 .. s1 = v2 = 2a s1 ; ( chord of curvature ) . is called the space due to the velocity v : and it must ...### 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