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 67
... origin and para- meter gt . But gravity takes all particles down through gť " in the time t , and the velocity depends on the height only , not on the particular orifice from which the particle started . Therefore all are on the path of ...
... origin and para- meter gt . But gravity takes all particles down through gť " in the time t , and the velocity depends on the height only , not on the particular orifice from which the particle started . Therefore all are on the path of ...
Página 71
... integrating factor of xdy - ydx is fxdy 1- ydx = √do = + y2 fão : 2 1 x2 + y2 1 and then = 0 or 2π , according as the origin is outside or inside the curve ) . If the perimeter cuts itself ( fig . 49 ) 11—4 ] 71 AND RIDERS .
... integrating factor of xdy - ydx is fxdy 1- ydx = √do = + y2 fão : 2 1 x2 + y2 1 and then = 0 or 2π , according as the origin is outside or inside the curve ) . If the perimeter cuts itself ( fig . 49 ) 11—4 ] 71 AND RIDERS .
Página 108
... ( fig . 65 ) . If x > 2 , dy = ( -2x + x + 2 + x − 2 ) = 0 , dx 1 and therefore y is constant = : 1 . The origin is a centre of the curve . de . 9. The value of a diamond being proportional to the 108 [ Jan. 19 , SENATE - HOUSE PROBLEMS.
... ( fig . 65 ) . If x > 2 , dy = ( -2x + x + 2 + x − 2 ) = 0 , dx 1 and therefore y is constant = : 1 . The origin is a centre of the curve . de . 9. The value of a diamond being proportional to the 108 [ Jan. 19 , SENATE - HOUSE PROBLEMS.
Página 115
... origin will return to it without the use of a containing envelope . Ax2 + By + Bz2 2.5 If = liquid , it must be a solid harmonic of degree -3 , and Ax2 + By + Bz will be a solid harmonic of degree 2 ; there- fore 4 + 2B = 0 ; this ...
... origin will return to it without the use of a containing envelope . Ax2 + By + Bz2 2.5 If = liquid , it must be a solid harmonic of degree -3 , and Ax2 + By + Bz will be a solid harmonic of degree 2 ; there- fore 4 + 2B = 0 ; this ...
Página 116
... origin , the liquid started from the origin will return to the origin . 16. A uniform elastic beam lies unstrained on a smooth horizontal table ; prove that if one end of the beam be moved in the direction of the length of the beam with ...
... origin , the liquid started from the origin will return to the origin . 16. A uniform elastic beam lies unstrained on a smooth horizontal table ; prove that if one end of the beam be moved in the direction of the length of the beam with ...
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Solutions of the Cambridge Senate-House Problems and Riders for the Year 1875 George Greenhill Sin vista previa disponible - 2016 |
Términos y frases comunes
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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