Examinations Papers1893 |
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Page 41
... plane in which they lie . The locus of points equidistant from two given points is the plane that bisects at right angles the line joining the points . 5. The sum of the roots of the equation x2 FIRST PASS EXAMINATION , OCT . , 1892. 41 ...
... plane in which they lie . The locus of points equidistant from two given points is the plane that bisects at right angles the line joining the points . 5. The sum of the roots of the equation x2 FIRST PASS EXAMINATION , OCT . , 1892. 41 ...
Page 48
... second degree can always be reduced to one of the forms Ax2 + By2 + Cz2 = D , Ax2 + By2 + 2 Wz = 0 , where one or more of the coefficients may be zero . 9. Find the axes and area of any central plane 48 ANNUAL EXAMINATION PAPERS ,
... second degree can always be reduced to one of the forms Ax2 + By2 + Cz2 = D , Ax2 + By2 + 2 Wz = 0 , where one or more of the coefficients may be zero . 9. Find the axes and area of any central plane 48 ANNUAL EXAMINATION PAPERS ,
Page 49
9. Find the axes and area of any central plane section of an ellipsoid . If the area of the section be constant , find the cone traced out by a normal to its plane drawn through the centre . 10. Shew how to integrate the linear equation ...
9. Find the axes and area of any central plane section of an ellipsoid . If the area of the section be constant , find the cone traced out by a normal to its plane drawn through the centre . 10. Shew how to integrate the linear equation ...
Page 51
... plane can be reduced to a single force or a couple . 7. A uniform beam of weight W and length 2a is kept inclined at an angle to the vertical by being smoothly hinged at the lower end A and tied back by a rope attached to the beam at a ...
... plane can be reduced to a single force or a couple . 7. A uniform beam of weight W and length 2a is kept inclined at an angle to the vertical by being smoothly hinged at the lower end A and tied back by a rope attached to the beam at a ...
Page 52
... plane curve of any form , starting from rest . Shew that it will not leave the curve if the slope is everywhere less than cos - 12h / p where h is the vertical descent and p the radius of curvature . 3. Prove that the central force ...
... plane curve of any form , starting from rest . Shew that it will not leave the curve if the slope is everywhere less than cos - 12h / p where h is the vertical descent and p the radius of curvature . 3. Prove that the central force ...
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Common terms and phrases
angle angular velocity answer atque axis BIOLOGY.-PART Board of Examiners briefly centre COUNTERPOINT curve Define Describe fully determine diameter Discuss Draw dumpy level equation Explain feet Find following C.F. force galvanometer Give an account Give the reasons given Greek HONOUR CANDIDATES HONOUR PAPER horizontal illustrate inches land Latin length load marriage MATHEMATICS.-PART Melbourne ment method mode neque plane pressure Professor Marshall-Hall Professor Tucker Prove quae quam quid radius relations SECOND PAPER Shew sketches specimens labelled straight line string structure tangent tion Translate Tubbs velocity vertical Victoria weight ἀλλ ἂν αὐτῶν γὰρ δὲ δὴ ἐγὼ εἰ εἶναι εἰς ἐκ ἐν ἐπὶ ἐς καὶ καὶ τὰ μὲν μὴ νῦν οἱ ὅπως οὐ οὐδὲν οὐκ οὔτε περὶ πρὸς τὰ ταῦτα τε τῇ τὴν τῆς τί τὸ τοῖς τὸν τοῦ τοὺς τῷ τῶν ὧν ὡς
Popular passages
Page 371 - 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 195 - 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 195 - 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 28 - 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 317 - 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 59 - 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 73 - 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 24 - 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 313 - 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 4 - 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.