Scholarship examinations of 1846/47 (-1853/54). |
Vyhledávání v knize
Výsledky 1-5 z 38
Strana 10
... axis of rotation of the vertical circle of the instrument not coinciding exactly with the centre of graduation may be avoided . 19. Prove that in a spherical triangle whose sides are a , b , c , and angles A , B , C , tan ( A + B ) ...
... axis of rotation of the vertical circle of the instrument not coinciding exactly with the centre of graduation may be avoided . 19. Prove that in a spherical triangle whose sides are a , b , c , and angles A , B , C , tan ( A + B ) ...
Strana 11
... axes , and the inclination to the axis of x of the axis major of the ellipse whose equation , referred to rectangular co - ordinates , is 5y2 + 6xy + 5x2 — 22y — 26x +29 = 0 22. Find the length of the perpendicular let fall from the ...
... axes , and the inclination to the axis of x of the axis major of the ellipse whose equation , referred to rectangular co - ordinates , is 5y2 + 6xy + 5x2 — 22y — 26x +29 = 0 22. Find the length of the perpendicular let fall from the ...
Strana iii
... axis , QV2 — 4 SP . PV . = ......... 17. Draw a tangent to the ellipse at any point ; and show that the focus of the ... axes or parameter . ..... 19. Find the polar equation to the ellipse when the focus S is the pole and by means of it ...
... axis , QV2 — 4 SP . PV . = ......... 17. Draw a tangent to the ellipse at any point ; and show that the focus of the ... axes or parameter . ..... 19. Find the polar equation to the ellipse when the focus S is the pole and by means of it ...
Strana v
... axis . ( 2. ) The earth moves in an elliptical orbit round the sun . Also explain in a general manner the change of seasons throughout the year , and the way in which the sun's position may affect the climate of different places ...
... axis . ( 2. ) The earth moves in an elliptical orbit round the sun . Also explain in a general manner the change of seasons throughout the year , and the way in which the sun's position may affect the climate of different places ...
Strana xx
... axes . Let now the origin be transferred to a point ( a , b ) and the the new axes making angles and ' with the old axes . are The formulas for transformation y + z ' Sin + y ' Sin ' = x = a + x'Cos 0 + y'Cos ' Therefore substituting ...
... axes . Let now the origin be transferred to a point ( a , b ) and the the new axes making angles and ' with the old axes . are The formulas for transformation y + z ' Sin + y ' Sin ' = x = a + x'Cos 0 + y'Cos ' Therefore substituting ...
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Strana 3 - Peace to all such! but were there one whose fires True genius kindles, and fair fame inspires, Blest with each talent and each art to please, And born to write, converse, and live with ease: Should such a man, too fond to rule alone, Bear, like the Turk, no brother near the throne, View him with scornful, yet with jealous eyes, And hate for arts that caused himself to rise, Damn with faint praise, assent with civil leer, And without sneering, teach the rest to sneer...
Strana 54 - O Cromwell, Cromwell, Had I but served my God with half the zeal I served my king, he would not in mine age Have left me naked to mine enemies.
Strana 5 - ... as if there were sought in knowledge a couch whereupon to rest a searching and restless spirit, or a terrace for a wandering and variable mind to walk up and down with a fair prospect, or a tower of state for a proud mind to raise itself upon, or a fort or commanding ground for strife and contention, or a shop for profit and sale ; and not a rich store-house for the glory of the Creator and the relief of man's estate.
Strana 6 - Deign on the passing world to turn thine eyes, And pause awhile from letters, to be wise; There mark what ills the scholar's life assail, Toil, envy, want, the patron, and the jail.
Strana 1 - O poor hapless nightingale, thought I, How sweet thou sing'st, how near the deadly snare ! Then down the lawns I ran with headlong...
Strana 13 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Strana 37 - There is only one cure for the evils which newly acquired freedom produces; and that cure is freedom. When a prisoner first leaves his cell he cannot bear the light of day ; he is unable to discriminate colors or recognize faces.
Strana 29 - Tis greatly wise to talk with our past hours ; And ask them, what report they bore to heaven : And how they might have borne more welcome news.