Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875Sir George Greenhill Macmillan and Company, 1876 - 236 páginas |
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Página 9
... condition that the roots of ax2 + 2bx + c = 0 may be formed from those of a'x2 + 26'x + c = 0 by adding the same quantity to each root . The difference of the roots in each equation being the same , therefore b2 - ac b'2 - a'c ' the ...
... condition that the roots of ax2 + 2bx + c = 0 may be formed from those of a'x2 + 26'x + c = 0 by adding the same quantity to each root . The difference of the roots in each equation being the same , therefore b2 - ac b'2 - a'c ' the ...
Página 16
... conditions for the equilibrium of any number of forces acting upon a body in one plane and prove that they are necessary and sufficient . If six forces acting on a body be completely represented , three by the sides of a triangle taken ...
... conditions for the equilibrium of any number of forces acting upon a body in one plane and prove that they are necessary and sufficient . If six forces acting on a body be completely represented , three by the sides of a triangle taken ...
Página 25
... condition of the question , the London pendulum , when at Edinburgh , must make two swings more than the other in the same time . Hence , if t be the time in seconds , therefore , t 3219 3220 t = 2 ; 3220 3219 t = 2 √ ( 3219 × 3220 ) ...
... condition of the question , the London pendulum , when at Edinburgh , must make two swings more than the other in the same time . Hence , if t be the time in seconds , therefore , t 3219 3220 t = 2 ; 3220 3219 t = 2 √ ( 3219 × 3220 ) ...
Página 26
... conditions is the ratio of any small increase of pressure to the cubical compression thereby produced . If v be the volume of a given quantity of gas when the pressure is p , and the volume when the pressure is in- creased to p ' , the ...
... conditions is the ratio of any small increase of pressure to the cubical compression thereby produced . If v be the volume of a given quantity of gas when the pressure is p , and the volume when the pressure is in- creased to p ' , the ...
Página 27
... conditions of equilibrium of a floating body . If an elliptic lamina with its centre of gravity at an excentric point float in liquid , prove that there may be two or four positions of equilibrium and point out which are stable and ...
... conditions of equilibrium of a floating body . If an elliptic lamina with its centre of gravity at an excentric point float in liquid , prove that there may be two or four positions of equilibrium and point out which are stable and ...
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Solutions of the Cambridge Senate-House Problems and Riders for the Year 1875 George Greenhill Sin vista previa disponible - 2016 |
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apse line Arabic numbers axes axis Cambridge centre of inertia circle coefficient conic section coordinates cos² cose cosec Crown 8vo curvature curve density diameter differential equation distance dx dy dz dx² Edition electricity ELEMENTARY TREATISE ellipse ellipsoid equal equations of motion equilibrium Extra fcap Fellow of St fixed fluid force given GREEK harmonic Hence hyperbola hypocycloid integral intersect J. P. MAHAFFY John's College late Fellow LATIN length lines of curvature liquid lunar precession magnets middle points normal numerous Illustrations orbit Owens College parabola parallel particle perpendicular plane polar pressure prism Professor prove radius ratio refracting right angles Roman numbers School shew sin sin sin sin² sphere straight line surface tangent triangle ABC Trinity College velocity vertical
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