Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875Sir George Greenhill |
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Page 46
... supposed to remain horizontal throughout the motion . In the two positions in which the velocity of the cone is zero , the heights of the centre of gravity of the cone and liquid are equal . h Let ρ be the density of the liquid , 46 ...
... supposed to remain horizontal throughout the motion . In the two positions in which the velocity of the cone is zero , the heights of the centre of gravity of the cone and liquid are equal . h Let ρ be the density of the liquid , 46 ...
Page 67
... supposed to revolve round the Earth's axis once in the lunar twenty - four hours with the line joining them inclined to the equator at an angle equal to the Moon's declination . There will be a rise and fall twice in every 9-12 ] 67 AND ...
... supposed to revolve round the Earth's axis once in the lunar twenty - four hours with the line joining them inclined to the equator at an angle equal to the Moon's declination . There will be a rise and fall twice in every 9-12 ] 67 AND ...
Page 77
... supposed undisturbed . The motion being supposed small , we may consider the resultant motion by superposing two states of motion de- fined by u1 = -as , = { { f ( x ) — ap ( x ) } , = U2 as2 = } } { ƒ ( x ) + a $ ( x ) } . 2 ...
... supposed undisturbed . The motion being supposed small , we may consider the resultant motion by superposing two states of motion de- fined by u1 = -as , = { { f ( x ) — ap ( x ) } , = U2 as2 = } } { ƒ ( x ) + a $ ( x ) } . 2 ...
Page 110
... supposed to move in the ecliptic . / ( 2 ) Let P be the pole , Z the zenith , S the sun , M the moon . Then since SM = L SMZ = 90 ° ; therefore SZ = 90 ° , and the sun is on the horizon . If λ be the latitude , w the obliquity of the ...
... supposed to move in the ecliptic . / ( 2 ) Let P be the pole , Z the zenith , S the sun , M the moon . Then since SM = L SMZ = 90 ° ; therefore SZ = 90 ° , and the sun is on the horizon . If λ be the latitude , w the obliquity of the ...
Page 133
... supposed to have five - pointic contact , the conic of five - pointic contact must always be an ellipse , since it cannot for a closed oval always be a hyperbola ) , then in the reasoning concerning elementary arcs , this ellipse may 9 ...
... supposed to have five - pointic contact , the conic of five - pointic contact must always be an ellipse , since it cannot for a closed oval always be a hyperbola ) , then in the reasoning concerning elementary arcs , this ellipse may 9 ...
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Solutions of the Cambridge Senate-House Problems and Riders for the Year 1875 George Greenhill No preview available - 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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