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 14
... base being given . Prove that , P , P ' , P " , being the resultant pressures on its convex surface , when the sines ... base included ; P = the resultant pressure on the convex surface , when the axis is inclined at an angle a to the ...
... base being given . Prove that , P , P ' , P " , being the resultant pressures on its convex surface , when the sines ... base included ; P = the resultant pressure on the convex surface , when the axis is inclined at an angle a to the ...
Page 34
... base is a given regular polygon is surmounted by a regular pyramid whose base coincides with the head of the prism ; find the inclination of the faces of the pyramid to its axis in order that the whole solid may contain a given volume ...
... base is a given regular polygon is surmounted by a regular pyramid whose base coincides with the head of the prism ; find the inclination of the faces of the pyramid to its axis in order that the whole solid may contain a given volume ...
Page 63
... base , therefore it passes through the centre of gravity of the pyramid . Hence a line can be drawn through A , passing through the centre of the surface , and through the centre of gravity of the tetrahedron . And the same may be ...
... base , therefore it passes through the centre of gravity of the pyramid . Hence a line can be drawn through A , passing through the centre of the surface , and through the centre of gravity of the tetrahedron . And the same may be ...
Page 71
... first unstable ; and find the condition which must be satisfied , in order that it may be possible to make the equilibrium stable by pouring in enough water . Let CFD ( fig . 34 ) be the base 91-121 . ] 71 PROBLEMS .
... first unstable ; and find the condition which must be satisfied , in order that it may be possible to make the equilibrium stable by pouring in enough water . Let CFD ( fig . 34 ) be the base 91-121 . ] 71 PROBLEMS .
Page 72
... base of the vessel , G its centre of gravity , AEB the surface of the water , Hits centre of gravity , CF = a , FE : h , FG = C. = The equilibrium will be stable if , on the vessel being turned round through a very small angle , the ...
... base of the vessel , G its centre of gravity , AEB the surface of the water , Hits centre of gravity , CF = a , FE : h , FG = C. = The equilibrium will be stable if , on the vessel being turned round through a very small angle , 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 |