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Books Books 1 - 10 of 18 on In the logarithmic spiral find an expression for the time of a body's descent from....  
" In the logarithmic spiral find an expression for the time of a body's descent from a given point to the centre, and prove that the times of successive revolutions are in geometrical progression. 7. A body acted on by a force varying as (dist... "
A Collection of Cambridge Mathematical Examination Papers: Papers in the ... - Page 141
by John Martin Frederick Wright - 1831
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Solutions of the Cambridge Problems: From 1800 to 1820, Volume 2

John Martin Frederick Wright - Mathematics - 1825
...are in geometrical progression. 7. A body acted on by a force varying as .from the centre (dist.)" is projected from a given point, in a given direction,...centre, or go off to infinity. 8. The force varying »»^¿у , shew under what restriction» L'f the velocity of projection, the body's approach towards...
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Alma Mater: Or, Seven Years at the University of Cambridge

John Martin Frederick Wright - 1827
...in geometrical progression. 7. A body acted on by a force varying as (dist.)" JJ & from the centre, is projected from a given point, in a given direction,...varying as——~, shew under what restrictions of the velocity of projection, the body's approach towards the centre, and its recess towards infinity,...
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Alma Mater: Or, Seven Years at the University of Cambridge

John Martin Frederick Wright - 1827
...-from the centre, is projected from a given [disc. ) point, in a given direction, and with a ^iven velocity . (1) Find the equation to the trajectory...infinity. 8. The force varying as— — - , shew under ( QlSt« ) what restrictions of the velocity of projection, the body's approach towards the centre,...
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Alma Mater: Or, Seven Years at the University of Cambridge

John Martin Frederick Wright - Education - 1827
...from the centre, is projected from a given (dist.)' ° point, in a given direction, and w ith a (riven velocity . (1) Find the equation to the trajectory...or go off to infinity. 8. The force varying as— 4, shew under what restrictions of the velocity of projection, the body's approach towards the centre,...
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Solutions of the Cambridge Problems, from 1800 to 1820, Volume 2

John Martin Frederick Wright - Mathematics - 1836
...revolutions are in geometrical progression. 7. A body acted on by a force varying as from the centre (dist.)" is projected from a given point, in a given direction,...centre, or go off to infinity. 8. The force varying as __L^ , shew under what restrictions bf the velocity of projection, the body's approach towards the...
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Dynamics: or, A treatise on motion; to which is added a short treatise on ...

Samuel Earnshaw - Attractions - 1844 - 372 pages
...investigate the form and magnitude of the path which it will take in its flight. 76. PKOB. A body being projected from a given point in a given direction and with a given velocity ; it is required to find the place of the body at any time, and the equation of the path which it will...
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A treatise on the dynamics of a particle: with numerous examples

Peter Guthrie Tait, William John Steele - History - 1871 - 428 pages
...of the direct distance, while n = — cor* \o responds to a constant central force. 149. A particle is projected from a given point in a given direction and with a given velocity, and moves under the action of a central force varying inversely as the square of the distance ; to...
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Annual Register of the United States Naval Academy, Annapolis, Md, Volumes 25-32

United States Naval Academy - 1874
...acted npon by a central attraction ; determine the polar eqiuiti- 1 the path described. A partiele is projected from a given point in a given direction and with я ¡;. velocity, and moves under the action of a central attraction varying inversely a- • square...
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A treatise on the dynamics of a particle, by P.G. Tait and W.J. Steele

Peter Guthrie Tait, William John Steele - 1878
...while a = —- corresponds to a constant central attraction. 7T 128 CKNTRAL ORBITS. 149. A particle is projected from a given point in a given direction and with a given velocity, and moves under the action of a central attraction varying inversely as the square of the distance;...
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the calcutta university calendar 1881-82

thacker spnk and co - 1881
...centres of force ; P, Iм the forces, prove that dP 5P _ dP- 5T_' dr + ~ ~ ~dr» + I7' 4. A particle is projected from a given point in a given direction and with n given velocity, and moves nnder the action of a central attraction varying inversely as the sqnare...
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