Scholarship examinations of 1846/47 (-1853/54). |
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Ergebnisse 1-5 von 20
Seite 11
... 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 focus upon the tangent to the hyperbola ; and prove that the locus of ...
... 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 focus upon the tangent to the hyperbola ; and prove that the locus of ...
Seite iii
... ellipse , an hyperbola , or a parabola , according as e is less than , greater than , or equal to unity . Determine also in each case the magnitude of the axes or parameter . ..... 19. Find the polar equation to the ellipse when the ...
... ellipse , an hyperbola , or a parabola , according as e is less than , greater than , or equal to unity . Determine also in each case the magnitude of the axes or parameter . ..... 19. Find the polar equation to the ellipse when the ...
Seite xxiv
... ellipse the origin being at the vertex or ( 3 ) ..... y2 . = b2 a2 ( 2 ax - x2 ) 2 b2 b2 = X x2 , hence we infer that the a a2 general equation ( 1 ) represents an ellipse when e 1. The axes may be found thus , By comparing the equation ...
... ellipse the origin being at the vertex or ( 3 ) ..... y2 . = b2 a2 ( 2 ax - x2 ) 2 b2 b2 = X x2 , hence we infer that the a a2 general equation ( 1 ) represents an ellipse when e 1. The axes may be found thus , By comparing the equation ...
Seite xxv
... ellipse , S and H the two foci , P any point in the curve , join P and S , and produce PS to meet the curve in P ' . The inclina- tion of the radius rector SP is supposed to be measured from the further focus H , and in the direction AP ...
... ellipse , S and H the two foci , P any point in the curve , join P and S , and produce PS to meet the curve in P ' . The inclina- tion of the radius rector SP is supposed to be measured from the further focus H , and in the direction AP ...
Seite xxvi
Bengal council of educ. Now the equation to the ellipse is a2 y2 + b2x2 a2 b2 , and if SP = r y = PN r Sin 0 , x = CN = SN - SC = r Cos 0 where c = -C SC = ae .. a r2 Sin2 0 + b2 ( r Cos 0 — c ) 2 : = a2 b2 a2 r2 Sin2 0 + b2 r2 Cos2 0 2 ...
Bengal council of educ. Now the equation to the ellipse is a2 y2 + b2x2 a2 b2 , and if SP = r y = PN r Sin 0 , x = CN = SN - SC = r Cos 0 where c = -C SC = ae .. a r2 Sin2 0 + b2 ( r Cos 0 — c ) 2 : = a2 b2 a2 r2 Sin2 0 + b2 r2 Cos2 0 2 ...
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Beliebte Passagen
Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 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...
Seite 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.
Seite 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.
Seite 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.