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 27
... liquid the resultant pressure on the surface immersed is equal and directly opposed to the weight of the displaced liquid . Deduce the conditions of equilibrium of a floating body . If an elliptic lamina with its centre of gravity at an ...
... liquid the resultant pressure on the surface immersed is equal and directly opposed to the weight of the displaced liquid . Deduce the conditions of equilibrium of a floating body . If an elliptic lamina with its centre of gravity at an ...
Página 46
... liquid overflows , and then released , it is found that the cone rises until it is just wholly out of the liquid and then begins to fall . Prove that the densities of the cone and the liquid are in the ratio 45 - 21 ( 7 ) : 4 V ( 7 ) ...
... liquid overflows , and then released , it is found that the cone rises until it is just wholly out of the liquid and then begins to fall . Prove that the densities of the cone and the liquid are in the ratio 45 - 21 ( 7 ) : 4 V ( 7 ) ...
Página 47
Sir George Greenhill. h Let ρ be the density of the liquid , o of the cone , the height of the cone ; in the second position the height of the surface of the liquid is ( 7 ) h ; therefore 8πh3 2.2h . tan2a.p - 3.h . tan'a ( po ) 3 Th3 3 ...
Sir George Greenhill. h Let ρ be the density of the liquid , o of the cone , the height of the cone ; in the second position the height of the surface of the liquid is ( 7 ) h ; therefore 8πh3 2.2h . tan2a.p - 3.h . tan'a ( po ) 3 Th3 3 ...
Página 88
... liquid . If a straight line be taken , in the plane of the area , parallel to the surface of the liquid and as far below the centre of inertia of the area as the surface of the liquid is above , the pole of this straight line with ...
... liquid . If a straight line be taken , in the plane of the area , parallel to the surface of the liquid and as far below the centre of inertia of the area as the surface of the liquid is above , the pole of this straight line with ...
Página 115
... liquid be , prove that the lines of flow are plane curves of the form c2 sine cose . If 942 = also the force function be ( 4 cos 0+ sin * 0 ) , prove that a 82.8 cos10 + sheet of fluid started from the origin will return to it without ...
... liquid be , prove that the lines of flow are plane curves of the form c2 sine cose . If 942 = also the force function be ( 4 cos 0+ sin * 0 ) , prove that a 82.8 cos10 + sheet of fluid started from the origin will return to it without ...
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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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