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. |
From inside the book
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Page 6
... varies inversely as ( CV ) * TV + ( CV ) ⋅ Draw CK at right angles to QQ ' . Then ( area QCQ ' ) = QV2 . CK2 = = CD2 CP . ( CP_CV * ) . CK AC2 . BC2 CP.PE ( CP - CV ) .CK . · CPCV CT.CV- CV2 = CV . TV . = But CK 1 CV Also = = CP2.PE CP ...
... varies inversely as ( CV ) * TV + ( CV ) ⋅ Draw CK at right angles to QQ ' . Then ( area QCQ ' ) = QV2 . CK2 = = CD2 CP . ( CP_CV * ) . CK AC2 . BC2 CP.PE ( CP - CV ) .CK . · CPCV CT.CV- CV2 = CV . TV . = But CK 1 CV Also = = CP2.PE CP ...
Page 34
... varies as the surface of the sphere . Let e , & , be the eccentricities of the two principal sections through c . y2 a2 + ( x − ae ) 2 + y2 + z2 = + = 1 .. b2 c2 ....... ellipsoid , 82 .. ... sphere ; at their intersection - 82 = ( x ...
... varies as the surface of the sphere . Let e , & , be the eccentricities of the two principal sections through c . y2 a2 + ( x − ae ) 2 + y2 + z2 = + = 1 .. b2 c2 ....... ellipsoid , 82 .. ... sphere ; at their intersection - 82 = ( x ...
Page 35
... varies as 8 " and therefore as the surface of the sphere . 16. An elastic tube of circular bore is placed within a rigid tube of square bore which it exactly fits in its unstretched state , the tubes being of indefinite length ; if ...
... varies as 8 " and therefore as the surface of the sphere . 16. An elastic tube of circular bore is placed within a rigid tube of square bore which it exactly fits in its unstretched state , the tubes being of indefinite length ; if ...
Page 40
... varies as the product of the distances of the point from the two fixed rods . Let AB ( fig . 24 ) be the moving rod , O being the inter- section of the two fixed rods . Let C be any point in AB . Draw CH , CK , at right angles to OA ...
... varies as the product of the distances of the point from the two fixed rods . Let AB ( fig . 24 ) be the moving rod , O being the inter- section of the two fixed rods . Let C be any point in AB . Draw CH , CK , at right angles to OA ...
Page 94
... varies as the diameter of the plate . Let c = the length of the lamina , 7 = its breadth , a = the radius of the plate . Let u = the distance of any point P ( fig . 51 ) in the plate from any point Q in the lamina , the distance of P ...
... varies as the diameter of the plate . Let c = the length of the lamina , 7 = its breadth , a = the radius of the plate . Let u = the distance of any point P ( fig . 51 ) in the plate from any point Q in the lamina , the distance of P ...
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 |