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Стр. 19
... triangle ABC ; prove that forces in the direction of and proportional to GA , GB , GC , will keep it at rest . 14. A ring R is attached to the end of a thread AR , which is fastened at A ; BRW is another thread passing through the ring ...
... triangle ABC ; prove that forces in the direction of and proportional to GA , GB , GC , will keep it at rest . 14. A ring R is attached to the end of a thread AR , which is fastened at A ; BRW is another thread passing through the ring ...
Стр. 29
... triangle in terms of the sides . 8. Prove the logarithmic formula for determining any two angles of a spherical triangle in terms of the opposite sides and third angle . 9. Investigate the algebraic solution of the cubic equation x3 + ...
... triangle in terms of the sides . 8. Prove the logarithmic formula for determining any two angles of a spherical triangle in terms of the opposite sides and third angle . 9. Investigate the algebraic solution of the cubic equation x3 + ...
Стр. 30
... triangle , prove that 2 sina sin sin c tan r.tan R = sin ( a + b + c ) 17. Solve the equation 4 cot 20 cot 20 - tan 20 . = 18. Eliminate 0 from the equations sin 0+ sin 20a , cos 0+ cos 20 = b . 1. Prove that B. MR . STUBBS . A cos 20+ ...
... triangle , prove that 2 sina sin sin c tan r.tan R = sin ( a + b + c ) 17. Solve the equation 4 cot 20 cot 20 - tan 20 . = 18. Eliminate 0 from the equations sin 0+ sin 20a , cos 0+ cos 20 = b . 1. Prove that B. MR . STUBBS . A cos 20+ ...
Стр. 37
... triangle perpendiculars be let fall on the bisectors of the vertical angle , their rectangle equals the square of half the sum of the sides the square of half the difference of the sides ? 5. Prove that the rectangle under the chords of ...
... triangle perpendiculars be let fall on the bisectors of the vertical angle , their rectangle equals the square of half the sum of the sides the square of half the difference of the sides ? 5. Prove that the rectangle under the chords of ...
Стр. 38
... triangle are 13 , 17 , 21 ; calculate , to three decimal places , the radius of its inscribed circle . 8. In the same case , calculate , to one place of decimals , the distance between the centres of its circumscribed and inscribed ...
... triangle are 13 , 17 , 21 ; calculate , to three decimal places , the radius of its inscribed circle . 8. In the same case , calculate , to one place of decimals , the distance between the centres of its circumscribed and inscribed ...
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acid Æneid ancient angle Aristotle Articles beam Beginning Butler's Cæsar calculate centre Cicero circle cloth coefficient conic curve deduce Demosthenes Describe determine diameter Distinguish Edition ellipse Ending Enumerate equation equilibrium Euripides Explain expression Find the locus following passage force formula Give an account Give some account given point gravity Greek Prose Hallam Hebrew Herodotus History Ibid inclined inclined plane inscribed intersection Julius Cæsar LONGFIELD meaning Mention method original passage into Greek passage into Latin passages into English Pentateuch perpendicular Phædo polar pressure princeps senatus principle PROFESSOR prove ratio respect Roman Rome Sanskrit Scripture sides solution Sophocles square STUBBS surface tangents temperature Tertullian Testament theory Thucydides tion Translate the following triangle Trimeters velocity verb vertical vols weight words Write a note δὲ ἐν καὶ μὲν μὴ τῆς τὸ τῶν
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Стр. 195 - The glories of our blood and state Are shadows, not substantial things ; There is no armour against fate ; Death lays his icy hand on kings : Sceptre and Crown Must tumble down, And in the dust be equal made With the poor crooked scythe and spade.
Стр. 3 - God knows, my son,\ By what by-paths and indirect crook'd ways I met this crown ; and I myself know well How troublesome it sat upon my head.
Стр. 128 - The march begins in military state, And nations on his eye suspended wait; Stern Famine guards the solitary coast, And Winter barricades the realms of Frost; He comes...
Стр. 234 - That thence the Royal actor borne The tragic scaffold might adorn : While round the armed bands Did clap their bloody hands. He nothing common did or mean Upon that memorable scene, But with his keener eye The axe's edge did try; Nor call'd the Gods, with vulgar spite, To vindicate his helpless right ; But bow'd his comely head Down, as upon a bed.
Стр. 104 - Cowards die many times before their deaths ; The valiant never taste of death but once. Of all the wonders that I yet have heard, It seems to me most strange that men should fear; Seeing that death, a necessary end, Will come when it will come.
Стр. 3 - WE all of us complain of the shortness of time, saith Seneca, and yet have much .more than .we know what to do with. Our lives, says he, are spent either in doing nothing at all, or in doing nothing to the purpose, or in doing nothing that we ought to do; we are always complaining our days are few, and acting as though there would be no end to them.
Стр. 43 - He, only, in a general honest thought, And common good to all, made one of them. His life was gentle; and the elements So mix'd in him, that Nature might stand up, And say to all the world, This was a man!
Стр. 128 - His fall was destined to a barren strand, A petty fortress, and a dubious hand ; He left the name, at which the world grew pale, To point a moral, or adorn a tale.
Стр. 127 - Truth is always consistent with itself, and needs nothing to help it out ; it is always near at hand, and sits upon our lips, and is ready to drop out before we are aware ; whereas a lie is troublesome, and sets a man 's invention upon the rack,' and' one trick needs a great many more to make it good.
Стр. 234 - Next Marlowe, bathed in the Thespian springs, Had in him those brave translunary things That the first poets had ; his raptures were All air and fire, which made his verses clear ; For that fine madness still he did retain Which rightly should possess a poet's brain.