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Стр. 12
... calculate the coefficients of the first five terms of its develop- ment . 6. ( a ) . Determine the radius of curvature at any point of a curve re- ferred to rectangular co - ordinates ; and apply it to find the radius of curvature at ...
... calculate the coefficients of the first five terms of its develop- ment . 6. ( a ) . Determine the radius of curvature at any point of a curve re- ferred to rectangular co - ordinates ; and apply it to find the radius of curvature at ...
Стр. 21
... calculate the number of vibrations per hour that would be made by a heavy ball , if suspended from the dome by a fine wire reaching close to the ground . 5. A beam , whose centre of gravity divides it into segments , m and n , is placed ...
... calculate the number of vibrations per hour that would be made by a heavy ball , if suspended from the dome by a fine wire reaching close to the ground . 5. A beam , whose centre of gravity divides it into segments , m and n , is placed ...
Стр. 22
... calculate the area of a triangle whose sides are 100 , 86 , and 72 . DR . TARLETON . 13. If one root of a quadratic equation_ax2 + bx + c = o ben times the other , what relation must exist between the coefficients ? 14. Assuming the ...
... calculate the area of a triangle whose sides are 100 , 86 , and 72 . DR . TARLETON . 13. If one root of a quadratic equation_ax2 + bx + c = o ben times the other , what relation must exist between the coefficients ? 14. Assuming the ...
Стр. 24
... the determinant α I I I I B I I I I γ I I I I d 11. a , ß , y , d are the roots of the equation gn – pn - 1 + q 2 – & c . o ; calculate the value of the symmetrical function ( za - 24 HONOR EXAMINATION PAPERS - HILARY TERM .
... the determinant α I I I I B I I I I γ I I I I d 11. a , ß , y , d are the roots of the equation gn – pn - 1 + q 2 – & c . o ; calculate the value of the symmetrical function ( za - 24 HONOR EXAMINATION PAPERS - HILARY TERM .
Стр. 25
Dublin city, univ. calculate the value of the symmetrical function ( za - B - y ) ( 2ẞ − y − a ) ( 2y — a - ẞ ) . J 12. Prove that = tan tan 30+ tan 50 - & c .; and apply the se- ries to calculate the ratio of the circumference to the ...
Dublin city, univ. calculate the value of the symmetrical function ( za - B - y ) ( 2ẞ − y − a ) ( 2y — a - ẞ ) . J 12. Prove that = tan tan 30+ tan 50 - & c .; and apply the se- ries to calculate the ratio of the circumference to the ...
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Часто встречающиеся слова и выражения
acid Æneid Agus angle axis Beginning calculate centre of gravity Church Cicero circle cloth coefficient conic Court of Equity Crown 8vo curve Deduce Demosthenes Describe determine Edition ellipse Ending English equal equation EURIPIDES Eusebius Explain Fcap feet Find the locus following passages force Give given ground Hebrew Herodotus History horizontal Ibid intersection length means Mention method parabola passage into Greek passage into Latin perpendicular Pharsalia plane Plato pressure principle PROFESSOR Prove the formula quadric radius ratio rectangle right line Roman Septuagint sides Sophocles square Tacitus tangents TARLETON Testament theory thou Thucydides TOWNSEND Translate the following transverse velocity Verse vertical vols weight words Write notes γὰρ δὲ εἶναι εἰς ἐν καὶ μὲν μὴ οὐ οὐκ τὰ τῇ τὴν τῆς τὸ τοῦ τοῦτο τῷ τῶν ὡς כִּי
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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.