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" ... (14) Two equal particles, attracting each other with forces varying inversely as the square of the distance, are constrained to move in two straight lines at right angles to each other ; supposing their motions to commence from rest, to find the time... "
The Analyst: A Monthly Journal of Pure and Applied Mathematics - Page 108
1874
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Calendar

University of Cambridge - 1831 - 552 pages
...TS — sT'.sin 9. '/ •' O 15. If two equal bodies which attract each ether with forces varying as are constrained to move in two straight lines at right angles to one another, shew that they will arrire together at the point of intersection of the lines, from whatever...
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The Mathematical Principles of Mechanical Philosophy, and Their Application ...

John Henry Pratt - 1836 - 672 pages
...from the- original position of S are a and Ca TT - 1) V. PROB. 23. If two equal bodies, which attract each other with forces varying inversely as the square...two straight lines at right angles to each other; shew that they will arrive together at the point of intersection of the lines, from whatever points...
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A Collection of Problems in Illustration of the Principles of Theoretical ...

William Walton - 1842 - 496 pages
...centre of force from the tube, the time of a small oscillation will be equal to i va' {/(«)}* _ (10) Two equal particles, attracting each other with forces...arrive at the intersection of the two straight lines. If a denote the initial distance between the particles, and /u. the absolute attracting force of each,...
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A Collection of Problems in Illustration of the Principles of Theoretical ...

William Walton - 1842 - 488 pages
...distance- of the centre of force from the tube, the time of a small oscillation will be equal to (lOj Two equal particles, attracting each other with forces...lines at right angles to each other; supposing their motion* to commence from rest, to rind the time in which each of them will arrive at the intersection...
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The Mathematical Principles of Mechanical Philosophy and Their Application ...

John Henry Pratt - 1842 - 674 pages
...measured from the original position of »9 are a and ,',-//. PROB. 23. If two equal bodies, which attract each other with forces varying inversely as the square...two straight lines at right angles to each other; shew that they will arrive together at the point of intersection of the lines, from whatever points...
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Dynamics: Or, A Treatise on Motion; to which is Added a Short Treatise on ...

Samuel Earnshaw - 1844 - 462 pages
...equal bodies which attract each other with forces varying as the square of their distance inversely, are constrained to move in two straight lines at right angles to one another; shew that they will arrive together at the point of intersection of the lines. And having...
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A Collection of Problems in Illustration of the Principles of Theoretical ...

William Walton - 1855 - 602 pages
...perpendicular distance of the centre of force from the tube, the time of a small oscillation will be equal to (14) Two equal particles, attracting each other with...arrive at the intersection of the two straight lines. If a denote the initial distance between the particles, and p the absolute attracting force of each,...
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The Analyst, Volumes 1-2

1874 - 490 pages
...the cube of the distance, find the path of the body: — Communicated by JB SANDEBB, Troy, Indiana. 14. Two equal particles attracting each other with...arrive at the intersection of the two straight lines. — Communicated by PROF. J. M» GBEENWOOD, Kirksville, Mo. 15. Two points are taken at random in the...
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The Analyst, Volumes 1-4

1874 - 834 pages
...the cube of the distance, find the path of the body: — Communicated by JB SANDERS, Troy, Indiana. 14. Two equal particles attracting each other with...arrive at the intersection of the two straight lines. — Communicated byPaoF. J. M» GBEENWOOD, Kirksville, Mo. 15. Two points are taken at random in the...
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A Text-book of Applied Mechanics and Mechanical Engineering ...: Theory of ...

Andrew Jamieson - 1910 - 546 pages
...circumference (curtate or prolate hypotrochoid) is an ellipse. Also, if the extremities of a straight line are constrained to move in two straight lines at right angles to each other, then the path of any point on the line produced is an ellipse, and the path of the middle point of...
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