Of Motion: An Elementary Treatise |
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Page viii
... A FIXED POINT . 50. The two kinds of this motion 51. ( I. ) Rectilinear motion , acceleration ∞ distance 54 . 57 . Time of oscillation Acceleration ∞ ( distance ) -2 27 ib . 29 31 1 PAGE 61 . 62 . 63 . 66 . 67 viij CONTENTS .
... A FIXED POINT . 50. The two kinds of this motion 51. ( I. ) Rectilinear motion , acceleration ∞ distance 54 . 57 . Time of oscillation Acceleration ∞ ( distance ) -2 27 ib . 29 31 1 PAGE 61 . 62 . 63 . 66 . 67 viij CONTENTS .
Page ix
... oscillation in this case General case of rectilinear motion ( II . ) Curvilinear motion . Three pairs of equations to determine it Equable description of areas General properties of the velocity X Space due to velocity = 1 × chord of ...
... oscillation in this case General case of rectilinear motion ( II . ) Curvilinear motion . Three pairs of equations to determine it Equable description of areas General properties of the velocity X Space due to velocity = 1 × chord of ...
Page xi
... Oscillations in a cycloid isochronous 80 143 . Time of oscillation of a simple pendulum . Determination of the value 144 . of g Motion in a circle ib . 81 149. Rectilinear motion of a particle hanging by an elastic string 84 150. Motion ...
... Oscillations in a cycloid isochronous 80 143 . Time of oscillation of a simple pendulum . Determination of the value 144 . of g Motion in a circle ib . 81 149. Rectilinear motion of a particle hanging by an elastic string 84 150. Motion ...
Page 29
... oscillation is 4 . π - 2π = 2√λ 玩 position of the moving point . which is independent of the initial ( NEWTON , Prop . 38. ) 55. If the point were not initially at rest , TIME OF OSCILLATION . 29.
... oscillation is 4 . π - 2π = 2√λ 玩 position of the moving point . which is independent of the initial ( NEWTON , Prop . 38. ) 55. If the point were not initially at rest , TIME OF OSCILLATION . 29.
Page 32
... oscillation = 4 П 2λ 2 = παξ . 59. If the motion of the point were supposed not to begin from rest , a similar artifice to that employed in Art . 55 , may be made use of here also to determine the motion . 60. Any other such case of ...
... oscillation = 4 П 2λ 2 = παξ . 59. If the motion of the point were supposed not to begin from rest , a similar artifice to that employed in Art . 55 , may be made use of here also to determine the motion . 60. Any other such case of ...
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accele acceleration produced axes axis balls center of force chord circle complete oscillation conic section constant acceleration cos² curve cycloid described determine the motion determined in Arts Differential Calculus direction of motion dt dt dt² earth's effect elastic ellipse equal equation fixed point focus force acting force of constraint force varying geometrical horizontal hyperbola impact impulse inclined plane inelastic initial direction initially at rest instant Ipswich School latus rectum Law of Motion length lowest point magnitude measure moving point NEWTON obtained Octavo orbit parabola parallelogram particle path perpendicular point of projection quantity of matter radius vector Second Edition Sermons shew sin² space passed straight line string supposed tangent tion Treatise Trinity College University of Cambridge v₁ versin vertex vis viva weight whence
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