Five Years in an English University, Volume 2G. P. Putnam, 1852 |
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Page 208
... circle . But there comes a time when he turns over a new page of existence . He steps out into the world . What was before the mere food of fanciful speculation becomes daily matter of practice ; and visionary opponents are changed to ...
... circle . But there comes a time when he turns over a new page of existence . He steps out into the world . What was before the mere food of fanciful speculation becomes daily matter of practice ; and visionary opponents are changed to ...
Page 229
... circle of persuasive topics which judicial laxity extended to forensic eloquence . There he sedulously labors to convert the court into a deliberative assembly . He tells them that the Senate and the Knights are represented by their ...
... circle of persuasive topics which judicial laxity extended to forensic eloquence . There he sedulously labors to convert the court into a deliberative assembly . He tells them that the Senate and the Knights are represented by their ...
Page 277
... circle is double the angle at the circumference , upon the same base . 11. The angle between a tangent and any chord , is equal to the angle in the alternate segment . 12. If two right lines within a circle cut one another , the ...
... circle is double the angle at the circumference , upon the same base . 11. The angle between a tangent and any chord , is equal to the angle in the alternate segment . 12. If two right lines within a circle cut one another , the ...
Page 278
... circle , draw two chords to meet in the circumference , which shall intercept a given length on a given oblique chord . 20. If a circle be inscribed in a square , an equilateral triangle in the circle , and a circle in the triangle ...
... circle , draw two chords to meet in the circumference , which shall intercept a given length on a given oblique chord . 20. If a circle be inscribed in a square , an equilateral triangle in the circle , and a circle in the triangle ...
Page 305
... circle subtending an angle ê , show that α = .R . 8 . 1800 Find the number of degrees in an arc equal in length to the radius of the circle . 3. Prove the formulæ : ( 1 ) tan A = - cot ( 2 ) sin ( A + B ) 3 T 2 + 4 ) = ) — tan { ( 2n ...
... circle subtending an angle ê , show that α = .R . 8 . 1800 Find the number of degrees in an arc equal in length to the radius of the circle . 3. Prove the formulæ : ( 1 ) tan A = - cot ( 2 ) sin ( A + B ) 3 T 2 + 4 ) = ) — tan { ( 2n ...
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Popular passages
Page 320 - The enemy said, I will pursue, I will overtake, I will divide the spoil; my lust shall be satisfied upon them; I will draw my sword, my hand shall destroy them.
Page 402 - Now strike the golden lyre again: A louder yet, and yet a louder strain ! Break his bands of sleep asunder And rouse him like a rattling peal of thunder. Hark, hark ! the horrid sound Has raised up his head : As awaked from the dead, And amazed he stares around. Revenge, revenge...
Page 402 - Give the vengeance due To the valiant crew ! Behold how they toss their torches on high, How they point to the Persian abodes And glittering temples of their hostile gods.
Page 445 - Principles Of Human Knowledge 1. OBJECTS OF HUMAN KNOWLEDGE.—It is evident to any one who takes a survey of the objects of human knowledge, that they are either IDEAS actually imprinted on the senses; or else such as are perceived by attending to the passions and operations of the mind; or lastly, ideas formed by help of memory and imagination—either compounding, dividing, or barely representing those originally perceived in the aforesaid ways.
Page 446 - And as several of these are observed to accompany each other, they come to be marked by one name, and so to be reputed as one thing. Thus, for example, a certain colour, taste, smell, figure and consistence having been observed to go together, are accounted one distinct thing, signified by the name apple.
Page 401 - So little to be loved, and thou so much, That I should ill requite thee to constrain Thy unbound spirit into bonds again. Thou, as a gallant bark from Albion's coast (The storms all weather'd and the ocean...
Page 376 - One great cause of our insensibility to the goodness of the Creator is, the very extensiveness of his bounty. We prize but little what we share only in common with the rest, or with the generality of our species. When we hear of blessings, we think forthwith of successes, of prosperous fortunes, of honours, riches, preferments...
Page 446 - By sight I have the ideas of light and colours with their several degrees and variations. By touch I perceive, for example, hard and soft, heat and cold, motion and resistance, and of all these more and less either as to quantity or degree. Smelling furnishes me with odours, the palate with tastes, and hearing conveys sounds to the mind in all their variety of tone and composition.
Page 348 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity.
Page 402 - Yet, oh, the thought that thou art safe, and he, That thought is joy, arrive what may to me. My boast is not that I deduce my birth From loins...