Of Motion: An Elementary Treatise |
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Page 3
... supposed to be compelled to move uniformly along the line AB , while AB is transferred so as to be always parallel to itself , its extremity moving uniformly along AC . Let AB , AC represent the coexisting velocities . At PARALLELOGRAM ...
... supposed to be compelled to move uniformly along the line AB , while AB is transferred so as to be always parallel to itself , its extremity moving uniformly along AC . Let AB , AC represent the coexisting velocities . At PARALLELOGRAM ...
Page 10
... supposed to include retardation . 22. The motion of a point , however , may not be uniformly accelerated ; and we must find a measure of the acceleration in such a case as this . Suppose another point whose motion is uniformly ...
... supposed to include retardation . 22. The motion of a point , however , may not be uniformly accelerated ; and we must find a measure of the acceleration in such a case as this . Suppose another point whose motion is uniformly ...
Page 14
... supposed rectilinear : if it be cur- vilinear we shall still have v = ds dt as may be seen by comparing " the motion of a point along a curve with that of one along the tangent , and bearing in mind that the corresponding elements of ...
... supposed rectilinear : if it be cur- vilinear we shall still have v = ds dt as may be seen by comparing " the motion of a point along a curve with that of one along the tangent , and bearing in mind that the corresponding elements of ...
Page 32
... supposed not to begin from rest , a similar artifice to that employed in Art . 55 , may be made use of here also to determine the motion . 60. Any other such case of motion that may arise is to be investigated in a manner similar to the ...
... supposed not to begin from rest , a similar artifice to that employed in Art . 55 , may be made use of here also to determine the motion . 60. Any other such case of motion that may arise is to be investigated in a manner similar to the ...
Page 33
... supposed to begin together ; i.e. Act , or the area described in any time varies as the time of its description . ( NEWTON , Prop . 1. ) F 63. If p be the perpendicular from the origin or EQUABLE DESCRIPTION OF AREAS . 33 62.
... supposed to begin together ; i.e. Act , or the area described in any time varies as the time of its description . ( NEWTON , Prop . 1. ) F 63. If p be the perpendicular from the origin or EQUABLE DESCRIPTION OF AREAS . 33 62.
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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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