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Page 18
... the action of gravity ; if the tension of the string at the highest point is equal to the weight of the body , find the tension at the lowest point . 18. Prove that if n forces acting at a point 18 HONOR EXAMINATION PAPERS - HILARY TERM .
... the action of gravity ; if the tension of the string at the highest point is equal to the weight of the body , find the tension at the lowest point . 18. Prove that if n forces acting at a point 18 HONOR EXAMINATION PAPERS - HILARY TERM .
Page 19
... prove that dny dxn = erx sin ( x + no ) sin " where tan = - 8. Find the radius of curvature at any point of the curve r = ao . 9. A particle is projected from a given point in a given direction , with a given velocity , and moves under ...
... prove that dny dxn = erx sin ( x + no ) sin " where tan = - 8. Find the radius of curvature at any point of the curve r = ao . 9. A particle is projected from a given point in a given direction , with a given velocity , and moves under ...
Page 20
... prove Euler's theorem for the differentiation of homo- geneous functions of two variables ; and verify it for the function u = 0 20-3 - y3 · x3 + y3 13. The co - ordinates of a point on a curve are given in terms of an angle by the ...
... prove Euler's theorem for the differentiation of homo- geneous functions of two variables ; and verify it for the function u = 0 20-3 - y3 · x3 + y3 13. The co - ordinates of a point on a curve are given in terms of an angle by the ...
Page 21
... prove the formula for the resistance R : I dr R = -1 ( d ) . 2p2 ds dp MR . PANTON . 11. The equation of a curve is given in the form F ( 1 , 2 , rn ) = const . , .... where 1 , 2 , .... n are the distances of any point P on it from n ...
... prove the formula for the resistance R : I dr R = -1 ( d ) . 2p2 ds dp MR . PANTON . 11. The equation of a curve is given in the form F ( 1 , 2 , rn ) = const . , .... where 1 , 2 , .... n are the distances of any point P on it from n ...
Page 27
... prove that we cannot doubt consciousness ? What objections are made to his argument ? 4. Show that Mill's statement that it is possible to be not quite certain that we are uncertain involves an absurd consequence . 5. Discuss briefly ...
... prove that we cannot doubt consciousness ? What objections are made to his argument ? 4. Show that Mill's statement that it is possible to be not quite certain that we are uncertain involves an absurd consequence . 5. Discuss briefly ...
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acid agus angle Aristotle axis Beginning BURNSIDE calculate CATHCART centre Cicero circle circumscribed circle cubic curve Deduce Describe determine DOWDEN ellipse Ending English equation equilibrium Euripides Explain expression following passages forces formula French Give an account Give some account given Greek Herodotus horizontal Ibid inscribed intersection Julius Cæsar Latin length literature Lucretius MAHAFFY meaning Mention method Mill Mill's nature OVID perpendicular Pindar plane Plautus position principle PROFESSOR prose prove quadric Quote radius relation respectively right line Roman sides sketch Sophocles square supposed surface syllogism tangents Theocritus theory thou Thucydides tion Translate the following triangle velocity verb vertical weight words Write a note γὰρ δὲ ἐν καὶ μὲν μὴ οἱ οὐκ τὰ τε τὴν τῆς τὸ τοῖς τὸν τοῦ τῷ τῶν ὡς
Popular passages
Page 325 - QUEEN and huntress, chaste and fair, Now the sun is laid to sleep, Seated in thy silver chair, State in wonted manner keep: Hesperus entreats thy light, Goddess, excellently bright! Earth, let not thy envious shade Dare itself to interpose: Cynthia's shining orb was made Heaven to clear when day did close: Bless us then with wished sight, Goddess, excellently bright!
Page 129 - 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 ; Ajomtez quelquefois, et souvent effacez.
Page 414 - And when I feel, fair creature of an hour! , That I shall never look upon thee more, Never have relish in the faery power Of unreflecting love: — then on the shore Of the wide world I stand alone, and think Till love and fame to nothingness do sink.
Page 356 - They say miracles are past ; and we have our philosophical persons, to make modern and familiar, things supernatural and causeless. Hence is it that we make trifles of terrors ; ensconcing ourselves into seeming knowledge, when we should submit ourselves to an unknown fear.
Page 313 - tis done, then 'twere well It were done quickly: If the assassination Could trammel up the consequence, and catch, 'With his surcease, success ; that but this blow Might be the be-all and the end-all here. But here, upon this bank and shoal of time, — We'd jump the life to come...
Page 282 - That fires the length of Ophiuchus huge In the arctic sky, and from his horrid hair Shakes pestilence and war.
Page 282 - Hell-doomed, and breath'st defiance here and scorn Where I reign king, and to enrage thee more, Thy king and lord?
Page 141 - T do confess thou'rt smooth and fair, And I might have gone near to love thee. Had I not found the slightest prayer That lips could speak, had power to move thee; But I can let thee now alone, As worthy to be loved by none.
Page 440 - Reason thus with life : If I do lose thee, I do lose a thing That none but fools would keep.
Page 349 - Phoebus lifts his golden fire: The birds in vain their amorous descant join, Or cheerful fields resume their green attire. These ears, alas ! for other notes repine; A different object do these eyes require...