Of Motion: An Elementary Treatise |
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Page xi
... inclined plane ib . • 132 . Change of velocity due only to the vertical space 73 133 . This same property is true for a curve 74 134 . Times of descent down chords of a circle through the highest or lowest point 75 135 . 137 . Two cases ...
... inclined plane ib . • 132 . Change of velocity due only to the vertical space 73 133 . This same property is true for a curve 74 134 . Times of descent down chords of a circle through the highest or lowest point 75 135 . 137 . Two cases ...
Page 35
... ( inclination of normal to radius vector ) . Now if a point be moving from an initial position of rest , its motion being affected by a constant acceleration a , the direc- tion of which is always the same ; and if s , be the space ...
... ( inclination of normal to radius vector ) . Now if a point be moving from an initial position of rest , its motion being affected by a constant acceleration a , the direc- tion of which is always the same ; and if s , be the space ...
Page 37
... inclined at an angle to the prime radius vector r ' , then v'r ' sinh , which is therefore known . v2 Also in ( a ) we have the left - hand side = 2 , ( Art . 64 ) ; 12 h2 -C- λ 1 λ . C = = + ' 2 sin v'2 sin2 this determines C. As 00 ...
... inclined at an angle to the prime radius vector r ' , then v'r ' sinh , which is therefore known . v2 Also in ( a ) we have the left - hand side = 2 , ( Art . 64 ) ; 12 h2 -C- λ 1 λ . C = = + ' 2 sin v'2 sin2 this determines C. As 00 ...
Page 52
... inclined at an angle to its direction is F'cos 0 , simply because the length of the side of a rectangular parallel- ogram inclined at an angle 0 to its diagonal = length of diagonal x cos ; and for no other reason . The experimental ...
... inclined at an angle to its direction is F'cos 0 , simply because the length of the side of a rectangular parallel- ogram inclined at an angle 0 to its diagonal = length of diagonal x cos ; and for no other reason . The experimental ...
Page 56
... inclined to the vertical , its path is curved ; but the force of weight has been continually acting which would make the position of the stone at any instant lower than what it would otherwise be . When a stone is thrown along the ...
... inclined to the vertical , its path is curved ; but the force of weight has been continually acting which would make the position of the stone at any instant lower than what it would otherwise be . When a stone is thrown along the ...
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Common terms and phrases
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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