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Стр. 20
... relation between the coefficients of apparent and absolute expansion ? How is it proved ? 6. Describe Regnault's experiment for determining the coefficient of expansion of air . 7. Prove the following formula for the weight in grams of ...
... relation between the coefficients of apparent and absolute expansion ? How is it proved ? 6. Describe Regnault's experiment for determining the coefficient of expansion of air . 7. Prove the following formula for the weight in grams of ...
Стр. 22
... relation must exist between the coefficients ? 14. Assuming the expression for the cosine of an angle of a triangle in terms of the sides , prove the formula which gives the area in terms of the sides . 15. Determine the conditions ...
... relation must exist between the coefficients ? 14. Assuming the expression for the cosine of an angle of a triangle in terms of the sides , prove the formula which gives the area in terms of the sides . 15. Determine the conditions ...
Стр. 23
... relation also from the fundamental formulæ . 6. Prove that the arc of a great circle joining the middle points of the sides of a spherical triangle subtends at its pole an angle which is half the angle subtended at the same point by the ...
... relation also from the fundamental formulæ . 6. Prove that the arc of a great circle joining the middle points of the sides of a spherical triangle subtends at its pole an angle which is half the angle subtended at the same point by the ...
Стр. 24
... relation connecting the segments intercepted on either axis by the tangent and normal at any point of the curve . 5. Determine , by any method , the relation connecting the three per- pendiculars p , q , upon the three sides a , b , c ...
... relation connecting the segments intercepted on either axis by the tangent and normal at any point of the curve . 5. Determine , by any method , the relation connecting the three per- pendiculars p , q , upon the three sides a , b , c ...
Стр. 25
... relations . 14. Find the sum of the series x ( x - 1 ) x cos ( 0+ a ) + cos ( 0 + 2a ) + 1.2 x ( x - 1 ) ( x - 2 ) 1.2.3 cos ( 0+ 3a ) + & c . , to ∞ where x < 1 . 15. From the vertex of a parabola two cords are drawn at right angles ...
... relations . 14. Find the sum of the series x ( x - 1 ) x cos ( 0+ a ) + cos ( 0 + 2a ) + 1.2 x ( x - 1 ) ( x - 2 ) 1.2.3 cos ( 0+ 3a ) + & c . , to ∞ where x < 1 . 15. From the vertex of a parabola two cords are drawn at right angles ...
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according acid action angle applied axis base Beginning body Book calculate causes centre character Church circle cloth common Compare composition connected construction curve Describe determine direction distance Draw drawn Edition Ending English equal equation EXAMINATION examples Explain expression extremity fall feet fixed following passages force formula four Give given gravity Greek ground History horizontal illustrate intersection Italy Latin length light means Mention method mode nature notes objection occur origin parallel passing perpendicular plane Plautus position pressure principle PROFESSOR prove question ratio reading reasons reference relation remarkable rendering respect result Roman sides square supposed surface tangents theory Translate the following triangle Verse vertical vols weight Write δὲ ἐν καὶ τὸ
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Стр. 247 - Or let my lamp at midnight hour, Be seen in some high lonely tower...
Стр. 121 - All in a hot and copper sky, The bloody Sun, at noon, Right up above the mast did stand, No bigger than the Moon.
Стр. 329 - Thou art the ruins of the noblest man That ever lived in the tide of times. Woe to the hand that shed this costly blood! Over thy wounds now do I prophesy,— Which, like dumb mouths do ope their ruby lips To beg the voice and utterance of my tongue,— A curse shall light upon the limbs of men; Domestic fury and fierce civil strife Shall cumber all the parts of Italy...
Стр. 273 - THERE IS ONE SORT of labour which adds to the value of the subject upon which it is bestowed: there is another which has no such effect.
Стр. 329 - O, pardon me, thou bleeding piece of earth, That I am meek and gentle with these butchers; Thou art the ruins of the noblest man That ever lived in the tide of times.
Стр. 39 - Is it far away, in some region old, Where the rivers wander o'er sands of gold ? — Where the burning rays of the ruby shine, And the diamond lights up the secret mine, And the pearl gleams forth from the coral strand ? — Is it there, sweet mother! that better land?" — " Not there, not there, my child ! " Eye hath not seen it, my gentle boy!
Стр. 6 - She woos the tardy Spring: Till April starts, and calls around The sleeping fragrance from the ground; And lightly o'er the living scene Scatters his freshest, tenderest green. New-born flocks, in rustic dance, Frisking ply their feeble feet; Forgetful of their wintry trance The birds his presence greet: But chief, the skylark warbles high His trembling thrilling ecstasy; And, lessening from the dazzled sight, Melts into air and liquid light.
Стр. 260 - That deep-brow'd Homer ruled as his demesne; Yet did I never breathe its pure serene Till I heard Chapman speak out loud and bold: Then felt I like some watcher of the skies When a new planet swims into his ken; Or like stout Cortez when with eagle eyes He star'd at the Pacific — and all his men Look'd at each other with a wild surmise — Silent, upon a peak in Darien.
Стр. 259 - With public zeal to cancel private crimes. How safe is treason, and how sacred ill, Where none can sin against the people's will! Where crowds can wink, and no offence be known. Since in another's guilt they find their own!
Стр. 151 - The true scholar grudges every opportunity of action past by, as a loss of power. It is the raw material out of which the intellect moulds her splendid products. A strange process too, this, by which experience is converted into thought, as a mulberry leaf is converted into satin. The manufacture goes forward at all hours.