Of Motion: An Elementary Treatise |
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Page viii
... CONSTANT ACCELERA- TION , THE DIRECTION OF WHICH IS ALWAYS THE SAME . 20 38. Rectilinear motion at2 39 . 8 = 2 ib . 40. v2 = 2a8 at2 41. s = v't + ; v2 - v'2 = 2as 2 42. Parabolic motion 43. Position of the focus 44. Position of the ...
... CONSTANT ACCELERA- TION , THE DIRECTION OF WHICH IS ALWAYS THE SAME . 20 38. Rectilinear motion at2 39 . 8 = 2 ib . 40. v2 = 2a8 at2 41. s = v't + ; v2 - v'2 = 2as 2 42. Parabolic motion 43. Position of the focus 44. Position of the ...
Page ix
... constants from the initial circumstances Determination of the constants in terms of the axes of the path Velocity = ( semi - conjugate diameter ) Determination of the axes from the initial circumstances 32 ib . ib . 33 • 34 • 35 ib ...
... constants from the initial circumstances Determination of the constants in terms of the axes of the path Velocity = ( semi - conjugate diameter ) Determination of the axes from the initial circumstances 32 ib . ib . 33 • 34 • 35 ib ...
Page x
... constant . 103. Special dynamical properties of force • 104. Second law of motion 105. Experiments to prove it · 1800 57 ib . 58 ( 1 ) A constant force produces a constant acceleration in its own direction . ( 2 ) This is not altered by ...
... constant . 103. Special dynamical properties of force • 104. Second law of motion 105. Experiments to prove it · 1800 57 ib . 58 ( 1 ) A constant force produces a constant acceleration in its own direction . ( 2 ) This is not altered by ...
Page 1
... constant , and inversely as the time when the space is constant , i.e. if v be the measure of the velocity with which a moving point describes a space s in a time t , v x 7 . L. S B 4. If , with the unit of velocity , a GENERAL ...
... constant , and inversely as the time when the space is constant , i.e. if v be the measure of the velocity with which a moving point describes a space s in a time t , v x 7 . L. S B 4. If , with the unit of velocity , a GENERAL ...
Page 8
... constant for that unit of time . 14. We shall now obtain a relation between the space , time , and velocity in such a case . If s be the space passed over in time t reckoned from the instant under consideration , and if s ' be the space ...
... constant for that unit of time . 14. We shall now obtain a relation between the space , time , and velocity in such a case . If s be the space passed over in time t reckoned from the instant under consideration , and if s ' be the space ...
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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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