Of Motion: An Elementary Treatise |
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Page xii
... Length of arc , measured from vertex 4 . Mode of describing a cycloid by a string 5. Equations to the cycloid . 6. Involute to a cycloid PROBLEMS · · 95 ib . 96 ib . 97 99 • ΙΟΙ OF MOTION . CHAPTER I. GENERAL PRINCIPLES . - OF xij ...
... Length of arc , measured from vertex 4 . Mode of describing a cycloid by a string 5. Equations to the cycloid . 6. Involute to a cycloid PROBLEMS · · 95 ib . 96 ib . 97 99 • ΙΟΙ OF MOTION . CHAPTER I. GENERAL PRINCIPLES . - OF xij ...
Page 3
... length to the magnitude of the measure of the velocity , so that if a point were to move uniformly along the line , it would arrive at the ex- tremity of it at the end of an unit of time . 8. The Parallelogram of Velocities . " If two ...
... length to the magnitude of the measure of the velocity , so that if a point were to move uniformly along the line , it would arrive at the ex- tremity of it at the end of an unit of time . 8. The Parallelogram of Velocities . " If two ...
Page 32
... length of path described , the velocity , and p the radius of curvature ; we have for the determination of the motion , as the accele- ration is entirely along the radius vector , ( See Arts . 32 , 34 , 35 , ) d2x a cos e dt2 २।४ ...
... length of path described , the velocity , and p the radius of curvature ; we have for the determination of the motion , as the accele- ration is entirely along the radius vector , ( See Arts . 32 , 34 , 35 , ) d2x a cos e dt2 २।४ ...
Page 52
... 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 laws then are for the purpose of getting rid of forces ; and in all state ...
... 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 laws then are for the purpose of getting rid of forces ; and in all state ...
Page 59
... length , in the ratio of their heights . This can easily be tested from observations of the motions ; and it may be observed that the friction may be made very small , and if the inclinations of the planes be small , the velocity of the ...
... length , in the ratio of their heights . This can easily be tested from observations of the motions ; and it may be observed that the friction may be made very small , and if the inclinations of the planes be small , the velocity 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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