Of Motion: An Elementary Treatise |
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Page viii
... axes of x , y , and z 33. Radial and transversal velocities 34. Radial and transversal accelerations PAGE 14 ib . 15 ib . 16 17 37. Dimensions of the measure of a velocity or acceleration . 19 35. Tangential and normal velocities and ...
... axes of x , y , and z 33. Radial and transversal velocities 34. Radial and transversal accelerations PAGE 14 ib . 15 ib . 16 17 37. Dimensions of the measure of a velocity or acceleration . 19 35. Tangential and normal velocities and ...
Page ix
... axes of the path Velocity = ( semi - conjugate diameter ) Determination of the axes from the initial circumstances 32 ib . ib . 33 • 34 • 35 ib . • 36 37 • 38 39 40 2π 75 . Period = ib . √ 76 . 79 . Acceleration Determination 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 . • 36 37 • 38 39 40 2π 75 . Period = ib . √ 76 . 79 . Acceleration Determination of the ...
Page 7
... axes , and as l ' , m ' , n ' , are the cosines of the angles between these and the second line , this proposition shews that the resolved part required may be correctly obtained by resolving the given velocity into three directions at ...
... axes , and as l ' , m ' , n ' , are the cosines of the angles between these and the second line , this proposition shews that the resolved part required may be correctly obtained by resolving the given velocity into three directions at ...
Page 15
... axes of x , y , z , are dt dx dy dz ds ' ds ' ds ; and therefore ( Art . 10 ) the resolved parts of the velocity in the directions of the axes will be dx dy dz dt ' dt ' dt ; and therefore the accelerations in the same directions will ...
... axes of x , y , z , are dt dx dy dz ds ' ds ' ds ; and therefore ( Art . 10 ) the resolved parts of the velocity in the directions of the axes will be dx dy dz dt ' dt ' dt ; and therefore the accelerations in the same directions will ...
Page 37
... axes are apses ; if the focus were the origin , the extremities of the major axis only are apses . + This case of motion may be easily solved in the following manner . We have the acceleration in a = -λr cos 0 = −λx , and that in y ...
... axes are apses ; if the focus were the origin , the extremities of the major axis only are apses . + This case of motion may be easily solved in the following manner . We have the acceleration in a = -λr cos 0 = −λx , and that in y ...
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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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