Solutions of the problems and riders proposed in the Senate-house examination for 1854, by the moderators and examiners |
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Results 1-5 of 76
Page 1
... drawn from D to touch the circle ; therefore DE touches it . Direct Proof . - Let O , fig . ( 2 ) , be the centre of the circle . Make DF equal to DE . Join OB , OC , OD , OE , OF , and draw OG perpendicular to DE . B = = Since DF is ...
... drawn from D to touch the circle ; therefore DE touches it . Direct Proof . - Let O , fig . ( 2 ) , be the centre of the circle . Make DF equal to DE . Join OB , OC , OD , OE , OF , and draw OG perpendicular to DE . B = = Since DF is ...
Page 5
... drawn through Y , Z , at right angles to the major axis of an ellipse , cut the circles , of which SP , HP , are diameters , in I , J , respectively . Prove that IS , JH , BC , pro- duced indefinitely , intersect each other in a single ...
... drawn through Y , Z , at right angles to the major axis of an ellipse , cut the circles , of which SP , HP , are diameters , in I , J , respectively . Prove that IS , JH , BC , pro- duced indefinitely , intersect each other in a single ...
Page 6
... drawn to a given ellipse , the points of contact being Q , Q ' : CQ , CQ ' , QQ ' , CT , are joined ; V is the intersection of QQ , CT . Prove that the area of the rectilinear triangle QCQ ' varies inversely as ( OV ) TV + TV CV Draw CK ...
... drawn to a given ellipse , the points of contact being Q , Q ' : CQ , CQ ' , QQ ' , CT , are joined ; V is the intersection of QQ , CT . Prove that the area of the rectilinear triangle QCQ ' varies inversely as ( OV ) TV + TV CV Draw CK ...
Page 7
... drawn parallel to BA , through E the middle point of BC . Then , if G be the centre of gravity of the piece of wire , EG equals two - thirds of BE . Draw HG parallel to BC , and join AG , BG . When the wire is hung up by A , AG will be ...
... drawn parallel to BA , through E the middle point of BC . Then , if G be the centre of gravity of the piece of wire , EG equals two - thirds of BE . Draw HG parallel to BC , and join AG , BG . When the wire is hung up by A , AG will be ...
Page 8
... drawn parallel to RP , RQ , P ' and Q ' will be points in the locus of H. Also PQ : PQ :: GH : GR , and therefore , GH : GR being constant , and PQ being constant , P'Q ' is constant . 11. A ball of elasticity e is projected from a ...
... drawn parallel to RP , RQ , P ' and Q ' will be points in the locus of H. Also PQ : PQ :: GH : GR , and therefore , GH : GR being constant , and PQ being constant , P'Q ' is constant . 11. A ball of elasticity e is projected from a ...
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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 c₁ 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 dx² ecliptic ellipse equal equation equilibrium Fellow of St fixed point fluid geometrical progression given Hence horizontal hyperbola inclined inclined plane intersection lamina latus rectum length locus longitude M.A. Fellow major axis middle point motion node orbit parabola parallel particle passing perpendicular plane plate position pressure 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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