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Page 18
... feet per second ; find its velocity and distance from point of projection after an interval of 5n seconds . 16. Determine the time a body will take to run down a rough inclined plane of given length , whose coefficient of friction is ...
... feet per second ; find its velocity and distance from point of projection after an interval of 5n seconds . 16. Determine the time a body will take to run down a rough inclined plane of given length , whose coefficient of friction is ...
Page 53
... feet of the perpendiculars of a given triangle . 8. If , ' , ' be the lengths of the perpendiculars drawn from the centre of the circumscribing circle to the sides , prove the relation « + r ' + x ' = R + r . 9. Through a given point to ...
... feet of the perpendiculars of a given triangle . 8. If , ' , ' be the lengths of the perpendiculars drawn from the centre of the circumscribing circle to the sides , prove the relation « + r ' + x ' = R + r . 9. Through a given point to ...
Page 54
... feet of the perpendiculars intersect at right angles on the nine - point circle of the triangle . 7. If a triangle inscribed in a given triangle is copolar thereto , the triangle formed by joining the middle points of the sides of the ...
... feet of the perpendiculars intersect at right angles on the nine - point circle of the triangle . 7. If a triangle inscribed in a given triangle is copolar thereto , the triangle formed by joining the middle points of the sides of the ...
Page 55
... feet , and the dis- tance from its centre to that of the circumscribed circle 5 feet ; what is the radius of the latter ? Prove the formula employed . 5. If the total number of oxen in America be m , and in Europe n , the price here ...
... feet , and the dis- tance from its centre to that of the circumscribed circle 5 feet ; what is the radius of the latter ? Prove the formula employed . 5. If the total number of oxen in America be m , and in Europe n , the price here ...
Page 92
... feet , the area of the triangle thus formed shall be given . ALGEBRA . MR . BURNSIDE . 1. Given λα3 + μψ = α , λx2 + μy2 = b , λx + μy = c , = express y and xy in terms of a , b , c , d . λ + μ = d , 2. Solve the system of simultaneous ...
... feet , the area of the triangle thus formed shall be given . ALGEBRA . MR . BURNSIDE . 1. Given λα3 + μψ = α , λx2 + μy2 = b , λx + μy = c , = express y and xy in terms of a , b , c , d . λ + μ = d , 2. Solve the system of simultaneous ...
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Common terms and phrases
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...