 If the velocity of the earth in its orbit were suddenly destroyed, find the time in which it would reach the sun. 3. A particle moves from any point in the directrix of a conic section, in a straight line towards a centre of force, which varies inversely...  Principia: First Book. sections I, II, III - Page 257by Isaac Newton - 1900 - 292 pagesFull view - About this book
 | Miles Bland - 1830 - 394 pages
...:—and reconcile the construction with that given in the seventh section for the time in a descent towards a centre of force which varies inversely as the square of the distance. SECTION IV. 1. DETERMINE that point in an ellipse, where the linear velocity increases or... | |
 | John Henry Pratt - 1836 - 672 pages
...at the point of projection ; determine the motion. PROB. 13. A body is projected from a point near a centre of force which varies inversely as the square of the distance, in a direction perpendicular to the line joining the point of projection with the centre... | |
 | 1836 - 366 pages
...Jupiter with greater accuracy than in the case of the moon ? 21 1. A body is projected from a point near a centre of force which varies inversely as the square of the distance, in a direction perpendicular to the line joining the point of projection with the centre... | |
 | William Walton - 1842 - 496 pages
...initial distance ; then time of descent = — . 1 ^ (9) A particle descends from an infinite distance towards a centre of force which varies inversely as the square of the distance ; to find the velocity at a given distance from the centre of force. Let ¡i be the absolute... | |
 | John Henry Pratt - 1842 - 674 pages
...at the point of projection ; determine the motion. PROB. 13. A body is projected from a point about a centre of force which varies inversely as the square of the distance, in a direction perpendicular to the line joining the point of projection with the centre... | |
 | William Walton - 1842 - 488 pages
...equation „г r - a =2 Г* r + a (17) If r be the radius vector at any point of a curve described round a centre of force which varies inversely as the square of the distance ; and с, с , be the external and internal spaces due to the velocity at that point respectively... | |
 | University of Cambridge - 1849 - 560 pages
...Find the velocity acquired by a particle in falling from an infinite distance to a given distance from a centre of force which varies inversely as the square of the distance. Find also the time employed in falling from a given distance to the centre. How may this... | |
 | Isaac Newton, Percival Frost - 1863 - 312 pages
...velocity of the earth in its orbit were suddenly destroyed, find the time in which it would reach the sun. 3. A particle moves from any point in the directrix of a conic section, in a straight line towards a center of force, which varies inversely as the square of the distance, in the corresponding focus.... | |
 | Sir Isaac Newton - 1863 - 316 pages
...velocity of the earth in its orbit were suddenly destroyed, find the time in which it would reach the sun. 3. A particle moves from any point in the directrix of a conic section, in a straight line towards a center of force, which varies inversely as the square of the distance, in the corresponding focus.... | |
 | Isaac Newton, Percival Frost - 1878 - 326 pages
...velocity of the earth in its orbit were suddenly destroyed, find the time in which it would reach the sun. 3. A particle moves from any point in the directrix...force, which varies inversely as the square of the distance, in the corresponding focus. Prove that when it arrives at the conic section, if L be the... | |
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