Of Motion: An Elementary Treatise |
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Page 1
... equal intervals of time , or require different intervals of time to pass over equal spaces , the mind necessarily conceives the idea of quickness or slowness of motion . The degree of this quickness or slowness is called velocity . 3 ...
... equal intervals of time , or require different intervals of time to pass over equal spaces , the mind necessarily conceives the idea of quickness or slowness of motion . The degree of this quickness or slowness is called velocity . 3 ...
Page 3
... equal in 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 ...
... equal in 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 ...
Page 4
... equal angles at a , C , and the sides containing them proportional ; therefore they are equiangular , i . e . the angles aAd , CAD are equal ; therefore d is in the diagonal AD , and consequently the moving point passes along AD . Also ...
... equal angles at a , C , and the sides containing them proportional ; therefore they are equiangular , i . e . the angles aAd , CAD are equal ; therefore d is in the diagonal AD , and consequently the moving point passes along AD . Also ...
Page 7
... equal v × cosine of the angle between the lines = v ( ll ' + mm ' + nn ' ) = lv.l ' + mv.m ' + nv . n ' ; n ' , lv , mv , nv , are the resolved parts of the given velocity in the directions of the co - ordinate axes , and as l ' , m ...
... equal v × cosine of the angle between the lines = v ( ll ' + mm ' + nn ' ) = lv.l ' + mv.m ' + nv . n ' ; n ' , lv , mv , nv , are the resolved parts of the given velocity in the directions of the co - ordinate axes , and as l ' , m ...
Page 8
... equal . A. 15. If we employ the differential calculus , we shall obtain the same result . For if a space ds be described in a small time St immediately subsequent to the instant under consideration , and if v ' , v " be the greatest and ...
... equal . A. 15. If we employ the differential calculus , we shall obtain the same result . For if a space ds be described in a small time St immediately subsequent to the instant under consideration , and if v ' , v " be the greatest and ...
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Common terms and phrases
acceleration produced apse axes axis balls center of force chord circle co-ordinates complete oscillation conic section considered constant acceleration cos² curve cycloid described determine the motion Differential Calculus direction of motion ds dt dt² dx dy earth's elastic ellipse equal equation fixed point focus force acting geometrical horizontal hyperbola idea impact impulse inclined plane initial direction initial position initial velocity initially at rest instant under consideration latus rectum Law of Motion material bodies measure moving point negative NEWTON obtained Octavo orbit origin parabola parallelogram particle path perpendicular point be moving quantity of matter radius vector Second Edition Sermons shew sin² space passed Statics straight line string supposed tangent tion Treatise Trinity College units of space University of Cambridge v'cos v₁ velocity acquired vertex vertical vis viva weight whence ᏧᎾ
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