Solutions of the problems and riders proposed in the Senate-house examination for 1854, by the moderators and examiners |
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Page 22
... ( taking 0 , to represent the greater of the two angles 0 , 0 ) to be divided into n equal parts , each equal to Sx , so that a0 , − a0 , = ndx ; - 1 and through each point of division draw a plane making a transverse section of the ...
... ( taking 0 , to represent the greater of the two angles 0 , 0 ) to be divided into n equal parts , each equal to Sx , so that a0 , − a0 , = ndx ; - 1 and through each point of division draw a plane making a transverse section of the ...
Page 45
... taking x and y from - - π to + π . Again , the curve is symmetrical about the axes of x and y ; we may therefore ascertain the complete form by considering positive values only of x and y . π Thirdly , x = 0 makes y = a , and decreases ...
... taking x and y from - - π to + π . Again , the curve is symmetrical about the axes of x and y ; we may therefore ascertain the complete form by considering positive values only of x and y . π Thirdly , x = 0 makes y = a , and decreases ...
Page 69
... taking moments about 0 , we obtain 2 ( a − b ) ( dd ) * = g cos $ + R = R ...... . ( 1 ) , d2 & ( a - b ) dt = g sin - F ( 2 ) , d20 a2 = Fa ........... . ( 3 ) . dt2 аф ( a - b ) dt Also , since 91-121 . ] 69 PROBLEMS .
... taking moments about 0 , we obtain 2 ( a − b ) ( dd ) * = g cos $ + R = R ...... . ( 1 ) , d2 & ( a - b ) dt = g sin - F ( 2 ) , d20 a2 = Fa ........... . ( 3 ) . dt2 аф ( a - b ) dt Also , since 91-121 . ] 69 PROBLEMS .
Page 75
... taking the Earth's radius 4000 miles and neglecting the effect of refraction . On the 21st of March the Sun is on the equator ; and therefore in t seconds of time he describes 15t seconds of space again , in latitude 60 ° the ...
... taking the Earth's radius 4000 miles and neglecting the effect of refraction . On the 21st of March the Sun is on the equator ; and therefore in t seconds of time he describes 15t seconds of space again , in latitude 60 ° the ...
Page 76
... taking the second reading , the circle were moved parallel to itself till C coincided with C. Let A be the point of the limb actually viewed at the second reading , A ' the point which would be at A " , and be there viewed if C ...
... taking the second reading , the circle were moved parallel to itself till C coincided with C. Let A be the point of the limb actually viewed at the second reading , A ' the point which would be at A " , and be there viewed if C ...
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Solutions of the Problems and Riders Proposed in the Senate-House ... Exam Papers Cambridge Univ No preview available - 2016 |
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angular velocity asymptote axes Cambridge catenary centre of force centre of gravity chord circle cloth conic section constant cos² cose cosẞ cota cotß Crown 8vo curvature curve cylinder denoting described diameter direction distance dx dy dy dx ecliptic elastic ellipse equal equation equilibrium Fellow of St fixed point fluid geometrical progression given Hence horizontal hyperbola inclined plane intersection lamina latus rectum length locus longitude M.A. Fellow major axis middle point motion orbit parabola parallel particle passing perpendicular position pressure projection prove radius refraction right angles ring shew sides Similarly sine sino sinẞ straight line string Supposing surface tana tangent tanß triangle Trinity College tube V₁ vertical
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