## Of Motion: An Elementary Treatise |

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**considered**the case of those , who , knowing the Differential Calculus , still confine themselves to the elementary portions of the Science of Motion : to such readers it is scarcely sufficient merely to indicate the method to be ... Page v

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**considered**are brought under the formulę in the first four chapters . I have rather avoided representing the intensity of a force by the product of the mass moved and the acceleration produced , as the beginner would not be very likely ... Page 3

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**considered**positive , those in the opposite direction must be**considered**negative . We may obviously represent a velocity by a straight line drawn in the direction of the motion , and equal in length to the magnitude of the measure ... Page 8

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**considered**velocity as uniform : but it is plain that the velocity of a moving point may be con- tinually changing , and we must fix a measure for such a velocity . If another point be moving uniformly with that velocity with which the ... Page 9

... and retardation merely as matters of fact , and not

... and retardation merely as matters of fact , and not

**considered**as resulting from any particular cause whatever . L. C " and if with the unit of acceleration a velocity v ACCELERATION AND RETARDATION . 9 The parallelepiped of velocities.### Other editions - View all

### 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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