School of engineering. Examination for diploma1857 - 1857 pages |
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Page vi
... side pre- sents an open archway , between two pair of Doric pilasters , the pilasters being raised on pedestals , and the whole surmounted by a Doric entabla- ture . The keystones of arches have carved heads , representing Homer ...
... side pre- sents an open archway , between two pair of Doric pilasters , the pilasters being raised on pedestals , and the whole surmounted by a Doric entabla- ture . The keystones of arches have carved heads , representing Homer ...
Page xv
... side of the cube : find the conditions that they may overturn the cube . II . 1. Bodies descend from a given point down several inclined planes ; find the locus of points arrived at in a given time , friction being con- sidered . 2. If ...
... side of the cube : find the conditions that they may overturn the cube . II . 1. Bodies descend from a given point down several inclined planes ; find the locus of points arrived at in a given time , friction being con- sidered . 2. If ...
Page xxviii
... sides of a given triangle . 7 . Sum the series sec2 + sec2 I φ + sec2 2 16 + & c . to n terms . 8. Prove that x2 sin 20 x3 sin 30 x sin 0 + + · + & c . . . . = εx cos sin ( x sin 6 ) . 1.2 1.2.3 9. Prove the formula for a spherical ...
... sides of a given triangle . 7 . Sum the series sec2 + sec2 I φ + sec2 2 16 + & c . to n terms . 8. Prove that x2 sin 20 x3 sin 30 x sin 0 + + · + & c . . . . = εx cos sin ( x sin 6 ) . 1.2 1.2.3 9. Prove the formula for a spherical ...
Page xxix
... sides opposite . d 13. Find the equations of the bisectors of the sides HILARY TERM . xxix.
... sides opposite . d 13. Find the equations of the bisectors of the sides HILARY TERM . xxix.
Page xxx
Dublin city, univ. 13. Find the equations of the bisectors of the sides of the triangle , the equations of whose sides are y - 32 = 1 , 3 ! - 22 = 1 , 9 - 12 = 0 . 14. Find the area of the quadrilateral the equations of whose sides are x ...
Dublin city, univ. 13. Find the equations of the bisectors of the sides of the triangle , the equations of whose sides are y - 32 = 1 , 3 ! - 22 = 1 , 9 - 12 = 0 . 14. Find the area of the quadrilateral the equations of whose sides are x ...
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Popular passages
Page xxxvii - O, how wretched Is that poor man, that hangs on princes' favours ! There is, betwixt that smile we would aspire to, That sweet aspect of princes, and their ruin,* More pangs and fears than wars or women have ; And when he falls, he falls like Lucifer, Never to hope again.
Page clxvii - My goodness, and my fortress; my high tower, and my deliverer; My shield, and he in whom I trust; who subdueth my people under me.
Page xxxvii - Farewell, a long farewell, to all my greatness ! This is the state of man ; to-day he puts forth The tender leaves of hope, to-morrow blossoms, And bears his blushing honours thick upon him : The third day comes a frost, a killing frost ; And,— when he thinks, good easy man, full surely His greatness is a ripening, — nips his root, And then he falls, as I do.
Page cxcvi - Fit haunt of Gods? where I had hope to spend, Quiet though sad, the respite of that day That must be mortal to us both.
Page ccxxii - Grief fills the room up of my absent child, Lies in his bed, walks up and down with me, Puts on his pretty looks, repeats his words, Remembers me of all his gracious parts, Stuffs out his vacant garments with his form; Then, have I reason to be fond of grief ? Fare you well: had you such a loss as I, I could give better comfort than you do.
Page ccxl - The deep, majestic, solemn organs blow. Hark ! the numbers soft and clear, Gently steal upon the ear ; Now louder and yet louder rise, And fill with spreading sounds the skies: Exulting in triumph now swell the boid notes, In broken air, trembling, the wild music floats ; Till, by degrees, remote and small, The strains decay, And melt away In a dying, dying fall.
Page cxlix - PAUL, a prisoner of Jesus Christ, and Timothy our brother, unto Philemon our dearly beloved, and fellow-labourer, 2 And to our beloved Apphia, and Archippus our fellow-soldier, and to the church in thy house : 3 Grace to you, and peace, from God our Father and the Lord Jesus Christ.
Page cxlix - I have begotten in my bonds ; which in time past was to thee unprofitable, but now profitable to thee and to me, whom I have sent again ; thou therefore receive him, that is, mine own bowels...
Page cxl - Lift up your heads, 0 ye gates, and be ye lift up, ye everlasting doors ; and the King of Glory shall come in.
Page ccci - How lov'd, how honour'd once, avails thee not, To whom related, or by whom begot ; A heap of dust alone remains of thee, 'Tis all thou art, and all the proud shall be ! Poets themselves must fall, like those they sung, Deaf the prais'd ear, and mute the tuneful tongue.