Solutions of the Problems and Riders Proposed in the Senate-house Examination for 1854This Elibron Classics title is a reprint of the original edition published by Macmillan and Co. in Cambridge, 1854. |
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Page 43
... , du and that one of the equations dz for determining them is = transform this equation v ; dx dx into one in which x and z shall be the independent variables . This is simply an example in the change of the 91-121 . ] 43 PROBLEMS .
... , du and that one of the equations dz for determining them is = transform this equation v ; dx dx into one in which x and z shall be the independent variables . This is simply an example in the change of the 91-121 . ] 43 PROBLEMS .
Page 47
... √ / ( 1 — tan " æ ) da = 7 ( '17 ) nearly . 6. Determine the form of the function f ( 0 ) from the equation f ( 20 ) = cos 0 f ( 0 ) ; with the condition ƒ ( 0 ) = m . arc . Apply the result to find the centre of 91-121 . ] 47 PROBLEMS .
... √ / ( 1 — tan " æ ) da = 7 ( '17 ) nearly . 6. Determine the form of the function f ( 0 ) from the equation f ( 20 ) = cos 0 f ( 0 ) ; with the condition ƒ ( 0 ) = m . arc . Apply the result to find the centre of 91-121 . ] 47 PROBLEMS .
Page 76
... determine graphically the path of the centre of graduation of a mural circle , by observing the dif- ferences between the readings of any three microscopes , ( seve- rally corrected for runs , ) for various positions of the instrument ...
... determine graphically the path of the centre of graduation of a mural circle , by observing the dif- ferences between the readings of any three microscopes , ( seve- rally corrected for runs , ) for various positions of the instrument ...
Page 77
... determine from observation the error at a single microscope ; but by subtracting the value of given by A from that given by B , we shall obtain the difference of the two errors : let 4. be the value given by A , Þ . + ß " the value ...
... determine from observation the error at a single microscope ; but by subtracting the value of given by A from that given by B , we shall obtain the difference of the two errors : let 4. be the value given by A , Þ . + ß " the value ...
Page 99
... Determine u ,,, from the equation d " c2 Ux + 2 , 1 = A * u2 , 1 ) dt where A affects x only ; and , having given the expressions for d и ux , 09 do x , 09 shew how to determine the values of the arbitrary functions which appear in the ...
... Determine u ,,, from the equation d " c2 Ux + 2 , 1 = A * u2 , 1 ) dt where A affects x only ; and , having given the expressions for d и ux , 09 do x , 09 shew how to determine the values of the arbitrary functions which appear in the ...
Other editions - View all
Solutions of the Problems and Riders Proposed in the Senate-House ... William Walton,Charles Frederick MacKenzie No preview available - 2016 |
Solutions of the Problems Riders Proposed in the Senate-House Examination ... C. F. Mackenzie No preview available - 2018 |
Solutions of the Problems Riders Proposed in the Senate-House Examination ... C. F. Mackenzie No preview available - 2015 |
Common terms and phrases
angular velocity asymptotes axes Cambridge catenary centre of force centre of gravity chord circle circular cloth College conic section constant coordinates cos² cose cosẞ cota cotß Crown 8vo curvature curve cylinder denoting described diameter distance dx dy dy dx ecliptic ellipse equal equation equilibrium Fcap fixed point fluid geometrical progression given Hence horizontal hyperbola inclined intersection lamina latus rectum length locus longitude major axis middle point motion orbit parabola parallel particle passing perpendicular plane plate position pressure prove radius refraction right angles ring Second Edition shew sides Similarly sine sino sinẞ straight line string Supposing surface tana tangent tanß triangle Trinity College tube University of Cambridge vertical
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References to this book
Masters of Theory: Cambridge and the Rise of Mathematical Physics Andrew Warwick Limited preview - 2003 |
Masters of Theory: Cambridge and the Rise of Mathematical Physics Andrew Warwick No preview available - 2003 |