Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV |
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Side 183
... axis , falling bodies must diverge from the per- pendicular ; now experiment shews that they do so diverge ; therefore , the Earth must turn on its axis . ( ii ) How can you admit that any wise men are unhappy when you deny that any ...
... axis , falling bodies must diverge from the per- pendicular ; now experiment shews that they do so diverge ; therefore , the Earth must turn on its axis . ( ii ) How can you admit that any wise men are unhappy when you deny that any ...
Side 201
... axis of z for its axis and the origin of coordinates for its origin ; X is the Solid Zonal Harmonic of positive order m having the same axis and a point distant a from the origin for its origin ; prove that X'12 = X12 + na X + 22-1 n.n ...
... axis of z for its axis and the origin of coordinates for its origin ; X is the Solid Zonal Harmonic of positive order m having the same axis and a point distant a from the origin for its origin ; prove that X'12 = X12 + na X + 22-1 n.n ...
Side 202
... axis of a being in the bottom corner of the canal ; and then √ / 3 sinh mh √3 m2l2 = 1- sinh 3mh subject to the condition . ( 2/3 ) cosh ( 3+ √ / 3 ) mh + ( 2 + √√3 ) cosh ( 3√3 ) mh - cosh ( 2 mh √3 ) — 3 = 0 . on 3. Plane waves ...
... axis of a being in the bottom corner of the canal ; and then √ / 3 sinh mh √3 m2l2 = 1- sinh 3mh subject to the condition . ( 2/3 ) cosh ( 3+ √ / 3 ) mh + ( 2 + √√3 ) cosh ( 3√3 ) mh - cosh ( 2 mh √3 ) — 3 = 0 . on 3. Plane waves ...
Side 203
... at the centre and the axes parallel to the edges . Find the distribution of couples which must be applied to the edges to maintain this configuration . MONDAY , January 5 , 1885. 9 to 12 . DD 2 MATHEMATICAL TRIPOS . PART III . 203.
... at the centre and the axes parallel to the edges . Find the distribution of couples which must be applied to the edges to maintain this configuration . MONDAY , January 5 , 1885. 9 to 12 . DD 2 MATHEMATICAL TRIPOS . PART III . 203.
Side 205
... axis of a paraboloid of revolution ; prove that ( i ) its projection on a plane perpendicular to the axis is the involute of a circle of radius l cota ; ( ii ) its radii of curvature p and torsion σ are given by the equations p2 sin2 a ...
... axis of a paraboloid of revolution ; prove that ( i ) its projection on a plane perpendicular to the axis is the involute of a circle of radius l cota ; ( ii ) its radii of curvature p and torsion σ are given by the equations p2 sin2 a ...
Populære avsnitt
Side 434 - And it shall come to pass in the last days, that the mountain of the Lord's house shall be established in the top of the mountains, and shall be exalted above the hills ; and all nations shall flow unto it. And many people shall go and say, " Come ye, and let us go up to the mountain of the Lord, to the house of the God of Jacob ; and he will teach us of his ways, and we will walk in his paths : " for out of Zion shall go forth the law, and the word of the Lord from Jerusalem.
Side 67 - Moreover as for me, God forbid that I should sin against the Lord in ceasing to pray for you...
Side 427 - Having therefore obtained help of God, I continue unto this day, witnessing both to small and great, saying none other things than those which the prophets and Moses did say should come : that Christ should suffer, and that he should be the first that should rise from the dead, and should shew light unto, the people, and to the Gentiles.
Side 115 - Jesus saith to Simon Peter, Simon, son of Jonas, lovest thou me more than these ? He saith unto him, Yea, Lord ; thou knowest that I love thee.
Side 428 - His glorious power, unto all patience and long-suffering with joyfulness ; giving thanks unto the FATHER, which hath made us meet to be partakers of the inheritance of the saints in light : Who hath delivered us from the power of darkness, and hath translated us into the kingdom of His dear SON : in whom we have redemption through His blood, even the forgiveness of sins...
Side 247 - There is a pleasure in the pathless woods, There is a rapture on the lonely shore, There is society, where none intrudes, By the deep Sea, and music in its roar: I love not Man the less, but Nature more, From these our interviews, in which I steal From all I may be, or have been before, •To mingle with the Universe, and feel What I can ne'er express, yet cannot all conceal Roll on, thou deep and dark blue Ocean— roll!
Side 247 - Roll on, thou deep and dark blue Ocean— roll! Ten thousand fleets sweep over thee in vain; Man marks the earth with ruin — his control Stops with the shore; upon the watery plain The wrecks are all thy deed...
Side 132 - Reign thou over us. But the olive tree said unto them, Should I leave my fatness, wherewith by me they honour God and man, and go to be promoted over the trees ? And the trees said to the fig tree, Come thou, and reign over us.
Side 423 - Then cometh he to Simon Peter : and Peter saith unto him, Lord, dost thou wash my feet ? Jesus answered and said unto him, What I do thou knowest not now; but thou shalt know hereafter. Peter saith unto him, Thou shalt never wash my feet. Jesus answered him, If I wash thee not, thou hast no part with me.
Side 593 - This land of such dear souls, this dear, dear land, Dear for her reputation through the world, Is now leas'd out (I die pronouncing it), Like to a tenement, or pelting farm: England, bound in with the triumphant sea, Whose rocky shore beats back the envious siege Of watery Neptune, is now bound in with shame, With inky blots, and rotten parchment bonds: That England, that was wont to conquer others, Hath made a shameful conquest of itself.