Scholarship examinations of 1846/47 (-1853/54). |
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Page 9
... common arithmetical definition ? Shew that any four quantities which are pro- portional according to the latter definition will satisfy one of the tests of the former . 2. Give a proof of the following proposition : " If two triangles ...
... common arithmetical definition ? Shew that any four quantities which are pro- portional according to the latter definition will satisfy one of the tests of the former . 2. Give a proof of the following proposition : " If two triangles ...
Page 28
... common stem , a " philosophia prima " for their common parent . This universal philosophy he defines as a receptacle for all axioms and observations which are not used in any of the especial sciences , but belong to a higher and larger ...
... common stem , a " philosophia prima " for their common parent . This universal philosophy he defines as a receptacle for all axioms and observations which are not used in any of the especial sciences , but belong to a higher and larger ...
Page 29
... common to all . These axioms are , as he says , " the same footsteps of nature tread- ing , or printing upon several subjects . " Answer 12th . - Bacon divides natural philosophy into two parts , viz . speculative and operative ...
... common to all . These axioms are , as he says , " the same footsteps of nature tread- ing , or printing upon several subjects . " Answer 12th . - Bacon divides natural philosophy into two parts , viz . speculative and operative ...
Page 38
... common centre to which all converge . This study can be pursued under two different circumstances . We might consider man collectively , and we might consider him also indivi- dually . We might consider him as he is acting in the great ...
... common centre to which all converge . This study can be pursued under two different circumstances . We might consider man collectively , and we might consider him also indivi- dually . We might consider him as he is acting in the great ...
Page iv
... common steel - yard ............. 4. Distinguish between stable and unstable equilibrium , and investigate the conditions of stable equilibrium in the case of a paraboloid resting upon a sphere .................. .. : Dynamics . 5 ...
... common steel - yard ............. 4. Distinguish between stable and unstable equilibrium , and investigate the conditions of stable equilibrium in the case of a paraboloid resting upon a sphere .................. .. : Dynamics . 5 ...
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Page 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...
Page 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.
Page 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.
Page 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.
Page 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...
Page 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.
Page 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.
Page 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.