## Of Motion: An Elementary Treatise |

### From inside the book

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**shew**how in any case we get rid of force , and investigate the motion geometrically ; most of the cases of motion considered are brought under the formulę in the first four chapters . I have rather avoided representing the intensity of ... Page 3

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**shews**that if we write v for v , we reverse the di- rection of the motion ; or , in other words , if velocities in any one direction be considered positive , those in the opposite direction must be considered negative . We may obviously ... Page 7

... second line , this proposition

... second line , this proposition

**shews**that the resolved part required may be correctly obtained by resolving the given velocity into three directions at right COMPOSITION OF VELOCITIES . (7) All this is true for variable forces The signs +. Page 10

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**shews**that a negative acceleration is identical with a re- tardation , as might have been expected , and henceforth the term acceleration will be supposed to include retardation . 22. The motion of a point , however , may not be ... Page 12

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**shew**how to transform the measure of an acceleration . Let the new units of space and time be a and b times re- spectively as great as the original units . Then a , being the measure of the acceleration , is equal to the measure of the ...### 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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Page 1 - The Greek Testament : with a critically revised Text ; a Digest of Various Readings ; Marginal References to Verbal and Idiomatic Usage ; Prolegomena ;"and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers. By HENRY ALFORD, DD, Dean of Canterbury. Vol. I., containing the Four Gospels.

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