Examinations Papers1893 |
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Page 43
... Find the angles A , B , having given that a = 43 , b = 11 , C = 44 ° , log 23010300 log 34771213 L tan 55 ° 42 ' 10 ∙ 1661177 Z tan 55 ° 43 ′ = 10 · 1663891 L cot 22 ° 10.3935904 . PURE MATHEMATICS . - PART II . The Board of FIRST PASS ...
... Find the angles A , B , having given that a = 43 , b = 11 , C = 44 ° , log 23010300 log 34771213 L tan 55 ° 42 ' 10 ∙ 1661177 Z tan 55 ° 43 ′ = 10 · 1663891 L cot 22 ° 10.3935904 . PURE MATHEMATICS . - PART II . The Board of FIRST PASS ...
Page 44
... Find the equation of a circle which cuts the axis of x at distances a , b from the origin and touches the axis of y . 3. Find the equation of the line through the points of contact of the two tangents which can be drawn from an external ...
... Find the equation of a circle which cuts the axis of x at distances a , b from the origin and touches the axis of y . 3. Find the equation of the line through the points of contact of the two tangents which can be drawn from an external ...
Page 45
... Find the limit when xo of cos ax - cos bx sin2x 8. Investigate a rule for finding maximum and minimum values of a function of one independent variable . Find the maximum and minimum values of a2 b2 + - a x X - b 9. Prove the rule for ...
... Find the limit when xo of cos ax - cos bx sin2x 8. Investigate a rule for finding maximum and minimum values of a function of one independent variable . Find the maximum and minimum values of a2 b2 + - a x X - b 9. Prove the rule for ...
Page 46
... Find the area of a quadrant of a circle . 12. Find a formula for the volume of a solid of revolution . Find the volume generated by the revolution about the axis of x of any part of the parabola y2 = 4 ax . PURE MATHEMATICS . - PART III ...
... Find the area of a quadrant of a circle . 12. Find a formula for the volume of a solid of revolution . Find the volume generated by the revolution about the axis of x of any part of the parabola y2 = 4 ax . PURE MATHEMATICS . - PART III ...
Page 47
... Find the polar equations of the tangent and normal at any point of a polar curve . Shew that the normal at any point of the curve ra cos 0 passes through a fixed point . 4. Trace the curves ( i ) x3 + y3 = a3 . ( ii ) xy2 = 4a2 ( 2a — x ) ...
... Find the polar equations of the tangent and normal at any point of a polar curve . Shew that the normal at any point of the curve ra cos 0 passes through a fixed point . 4. Trace the curves ( i ) x3 + y3 = a3 . ( ii ) xy2 = 4a2 ( 2a — x ) ...
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Æschylus angle angular velocity answer atque axis BIOLOGY.-PART Board of Examiners briefly centre conic curve Describe fully destrier determine diameter Draw ellipse engine equation Explain feet Find fixed point following C.F. Give an account Give the reasons given Greek HONOUR CANDIDATES HONOUR PAPER horizontal illustrate inches indicator diagram land Latin LATIN.-PART load marriage MATHEMATICS.-PART method mode neque plane pressure principle Professor Marshall-Hall Professor Tucker Prove quam quid radius SECOND PAPER Shew sketches specimens labelled straight line structure tangent tion Translate Tubbs velocity vertical Victoria weight Write an essay ἀλλ ἂν ἀπὸ αὐτῶν γὰρ δὲ δὴ εἰ εἶναι εἰς ἐκ ἐν ἐξ ἐπὶ ἐς καὶ καὶ τὸ κατὰ μὲν μὴ νῦν οἱ οὐ οὐκ οὔτε περὶ πρὸς τὰ τὰς ταῦτα τε τῇ τὴν τῆς τί τὸ τοῖς τὸν τοῦ τοὺς τῷ τῶν ὧν ὡς
Popular passages
Page 373 - Commentaries remarks, that this law of Nature being coeval with mankind, and dictated by God himself, is of course superior in obligation to any other. It is binding over all the globe, in all countries and at all times; no human laws are of any validity if contrary to this, and such of them as are valid, derive all their force, and all their validity, and all their authority, mediately and immediately, from this original...
Page 197 - But little do men perceive what solitude is, and how far it extendeth. For a crowd is not company; and faces are but a gallery of pictures; and talk but a tinkling cymbal, where there is no love.
Page 197 - IT had been hard for him that spake it to have put more truth and untruth together in few words than in that speech, " Whosoever is delighted in solitude, is either a wild beast or a god...
Page 30 - Qu'il règne donc ce fils , ton soin et ton ouvrage ! Et que, pour signaler son empire nouveau, On lui fasse en mon sein enfoncer le couteau ! Voici ce qu'en mourant lui souhaite sa mère : Que dis-je souhaiter ! je. me flatte , j'espère Qu'indocile à ton joug, fatigué de ta loi , Fidèle au sang d...
Page 319 - J'aurais vu massacrer et mon père et mon frère, Du haut de son palais précipiter ma mère, Et dans un même jour égorger à la fois (Quel spectacle d'horreur !) quatre-vingts fils de rois ; Et pourquoi ? pour venger je ne sais quels prophètes Dont elle avait puni les fureurs indiscrètes: Et moi, reine sans cœur, fille sans amitié, Esclave d'une lâche et frivole pitié, Je n'aurais pas du moins à cette aveugle rage Rendu meurtre pour meurtre, outrage pour outrage, Et de votre David traité...
Page 61 - J'aime mieux un ruisseau qui, sur la molle arène, Dans un pré plein de fleurs lentement se promène, Qu'un torrent débordé qui, d'un cours orageux, Roule, plein de gravier, sur un terrain fangeux. Hâtez-vous lentement, et, sans perdre courage, Vingt fois sur le métier remettez votre ouvrage : Polissez-le sans cesse et le repolissez ; Ajoutez quelquefois, et souvent effacez.
Page 75 - Kennst du es wohl? Dahin! Dahin Möcht ich mit dir, o mein Beschützer, ziehn! Kennst du den Berg und seinen Wolkensteg? Das Maultier sucht im Nebel seinen Weg, In Höhlen wohnt der Drachen alte Brut, Es stürzt der Fels und über ihn die Flut Kennst du ihn wohl?
Page 26 - His burning idol all of blackest hue; In vain with cymbals ring They call the grisly king, In dismal dance about the furnace blue, The brutish gods of Nile as fast, Isis, and Orus, and the dog Anubis, haste.
Page 315 - Sate simply chatting in a rustic row ; Full little thought they than That the mighty Pan Was kindly come to live with them below : 90 Perhaps their loves, or else their sheep, Was all that did their silly thoughts so busy keep.
Page 6 - SONG. Would you know what's soft? I dare Not bring you to the down, or air, Nor to stars to show what's bright, Nor to snow to teach you white ; Nor, if you would music hear, Call the orbs to take your ear ; Nor, to please your sense, bring forth Bruised nard, or what 's more worth ; Or on food were your thoughts placed, Bring you nectar for a taste ; Would you have all these in one, Name my mistress, and 'tis done ! THE PROTESTATION.