Of Motion: An Elementary Treatise |
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Page 12
... nearly as the time in which they are acquired is indefinitely diminished . The resulting velocity will be measured by AG . The resulting acceleration then must be in the direction of AG and be to AB or AC in the same ratio as AG is to ...
... nearly as the time in which they are acquired is indefinitely diminished . The resulting velocity will be measured by AG . The resulting acceleration then must be in the direction of AG and be to AB or AC in the same ratio as AG is to ...
Page 34
... nearly as ds and SA are more and more diminished ; dA ds = 2 ds or p dt = dA 2 = h ; dt h Ρ i . e . pv = h , or v = - . ( NEWTON , Prop . 1 , Cor . 1. ) du 2 64. As = u2 + where - = we shall have de 2 ° du v2 = h2 | u2 + de which might ...
... nearly as ds and SA are more and more diminished ; dA ds = 2 ds or p dt = dA 2 = h ; dt h Ρ i . e . pv = h , or v = - . ( NEWTON , Prop . 1 , Cor . 1. ) du 2 64. As = u2 + where - = we shall have de 2 ° du v2 = h2 | u2 + de which might ...
Page 54
... nearly the above conditions are satisfied , the more nearly does the result agree with what we should expect it to be ; ( 3 ) calculations are made of complicated cases of motion , under the assumption of the truth of the hypothesis ...
... nearly the above conditions are satisfied , the more nearly does the result agree with what we should expect it to be ; ( 3 ) calculations are made of complicated cases of motion , under the assumption of the truth of the hypothesis ...
Page 56
... nearly straight ; and considering the asperities and unevennesses of the surface , there will be a number of forces called into action at the stone's contact with them , that may account for its deviation from a rectilinear path ...
... nearly straight ; and considering the asperities and unevennesses of the surface , there will be a number of forces called into action at the stone's contact with them , that may account for its deviation from a rectilinear path ...
Page 58
... nearly agree with what they ought to be , and the resistance of the air seems quite sufficient to account for the discrepancy . If a body were let fall down an inclined plane , the force on it would be its weight x sine of the ...
... nearly agree with what they ought to be , and the resistance of the air seems quite sufficient to account for the discrepancy . If a body were let fall down an inclined plane , the force on it would be its weight x sine of 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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