| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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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