Of Motion: An Elementary Treatise |
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Page 19
... evidently accounts for the fact that b2 appears in the transformation of Art . 27 , while b only appears in that of Art . 6 , and for a appearing equally in both . The reader would do well to apply these considerations to the ana ...
... evidently accounts for the fact that b2 appears in the transformation of Art . 27 , while b only appears in that of Art . 6 , and for a appearing equally in both . The reader would do well to apply these considerations to the ana ...
Page 20
... evidently the simplest kind of motion affected by acceleration conceivable , and it will subdivide itself into two heads , according as the direction of the acceleration is or is not coincident with the initial direction of motion . I ...
... evidently the simplest kind of motion affected by acceleration conceivable , and it will subdivide itself into two heads , according as the direction of the acceleration is or is not coincident with the initial direction of motion . I ...
Page 23
... evidently a tangent to the path at A , therefore the above equation shews that the path is a parabola whose axis is parallel to yA the direction of the acceleration , the concavity being turned in that direction , and the distance of A ...
... evidently a tangent to the path at A , therefore the above equation shews that the path is a parabola whose axis is parallel to yA the direction of the acceleration , the concavity being turned in that direction , and the distance of A ...
Page 27
... evidently be of two kinds , according as the initial direction of motion does or does not pass through the fixed point . ( I ) Let the initial direction of motion pass through the fixed point , then it is clear that the path is a ...
... evidently be of two kinds , according as the initial direction of motion does or does not pass through the fixed point . ( I ) Let the initial direction of motion pass through the fixed point , then it is clear that the path is a ...
Page 60
... Law of Motion is established . 106. We have yet to determine the coefficient of the pro- portionality between the measures of a force and the acceleration produced by it : this evidently depends on the nature 60 SECOND LAW OF MOTION .
... Law of Motion is established . 106. We have yet to determine the coefficient of the pro- portionality between the measures of a force and the acceleration produced by it : this evidently depends on the nature 60 SECOND LAW OF MOTION .
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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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