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Página 18
... triangle , be the intersection of the perpendiculars of the triangle ; find the relation between the forces . 12. Find the lowest point a particle can rest on a rough , horizontal circular cylinder , friction being equal to the pressure ...
... triangle , be the intersection of the perpendiculars of the triangle ; find the relation between the forces . 12. Find the lowest point a particle can rest on a rough , horizontal circular cylinder , friction being equal to the pressure ...
Página 19
... triangle of maximum area under a given pe- rimeter ? 3. What are the limiting positions of equilibrium of a rigid beam on two rough inclined planes ? 4. What is the least velocity with which a body must be projected vertically from the ...
... triangle of maximum area under a given pe- rimeter ? 3. What are the limiting positions of equilibrium of a rigid beam on two rough inclined planes ? 4. What is the least velocity with which a body must be projected vertically from the ...
Página 40
... triangle bounded by them and by the line x + y = 6 , and having its base along the axis of x . 6. Find the equation of the circle inscribed in the same triangle . MR . BURNSIDE . 7. Solve the equation ( 1 + x ) 3 + ( 1 − x ) 3 = ( 1 ...
... triangle bounded by them and by the line x + y = 6 , and having its base along the axis of x . 6. Find the equation of the circle inscribed in the same triangle . MR . BURNSIDE . 7. Solve the equation ( 1 + x ) 3 + ( 1 − x ) 3 = ( 1 ...
Página 41
... triangle inscribed in the same circle . MR . PANTON . 13. Find the co - ordinates of the point of intersection of the line join- ing the points ( 3 , 1 ) and ( − 2 , 3 ) with the line drawn through the origin perpendicular to 2x + 3y 6 ...
... triangle inscribed in the same circle . MR . PANTON . 13. Find the co - ordinates of the point of intersection of the line join- ing the points ( 3 , 1 ) and ( − 2 , 3 ) with the line drawn through the origin perpendicular to 2x + 3y 6 ...
Página 42
... triangle . 6. Given the base of a triangle , and that the sides are the segments of a line cut in extreme and mean ratio ; the locus of the vertex is a pair of circles . Determine their equations , centres , and radii . MR . BURNSIDE ...
... triangle . 6. Given the base of a triangle , and that the sides are the segments of a line cut in extreme and mean ratio ; the locus of the vertex is a pair of circles . Determine their equations , centres , and radii . MR . BURNSIDE ...
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Palavras e frases frequentes
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
Passagens conhecidas
Página 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!
Página 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.
Página 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.
Página 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.
Página 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...
Página 282 - That fires the length of Ophiuchus huge In the arctic sky, and from his horrid hair Shakes pestilence and war.
Página 282 - Hell-doomed, and breath'st defiance here and scorn Where I reign king, and to enrage thee more, Thy king and lord?
Página 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.
Página 440 - Reason thus with life : If I do lose thee, I do lose a thing That none but fools would keep.
Página 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...