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 7
... locus of the centre of gravity of the three weights is a circle . If the immoveable weights be varied in magnitude , their sum being constant , prove that the cor- responding circular loci intercept equal portions of the chord joining ...
... locus of the centre of gravity of the three weights is a circle . If the immoveable weights be varied in magnitude , their sum being constant , prove that the cor- responding circular loci intercept equal portions of the chord joining ...
Page 8
... locus of H. Also P'Q ' 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 point in an inclined plane , and , after once impinging upon the ...
... locus of H. Also P'Q ' 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 point in an inclined plane , and , after once impinging upon the ...
Page 26
... locus . To find the general form of the rest of the locus , * The notation in the text is used for stating concisely whether the value of y is possible or impossible between particular values . x = ∞ makes y = ± x , x 26 [ Jan. 17 ...
... locus . To find the general form of the rest of the locus , * The notation in the text is used for stating concisely whether the value of y is possible or impossible between particular values . x = ∞ makes y = ± x , x 26 [ Jan. 17 ...
Page 28
... locus ; and that the curved branch cuts AE in F , AF being equal to 2a : also that when a = c , A and C coincide . It appears then , that as A approaches C , the arc CG becomes less curved , and approximates to the straight line AF ...
... locus ; and that the curved branch cuts AE in F , AF being equal to 2a : also that when a = c , A and C coincide . It appears then , that as A approaches C , the arc CG becomes less curved , and approximates to the straight line AF ...
Page 29
... locus of G is an ellipse whose semi - axes are one- fourth of the semi - axis minor , and one - fourth of the semi - latus- rectum of the given ellipse , passing through C , having its centre on the perpendicular from C upon the tangent ...
... locus of G is an ellipse whose semi - axes are one- fourth of the semi - axis minor , and one - fourth of the semi - latus- rectum of the given ellipse , passing through C , having its centre on the perpendicular from C upon the tangent ...
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 |