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Стр. 19
... radius of curvature is equal to the normal . 6. Find the centre of gravity of the portion of the area of an ellipse contained between two conjugate semidiameters and the curve . MR . F. PURSER . 7. A chain 15 ft . long rests on a rough ...
... radius of curvature is equal to the normal . 6. Find the centre of gravity of the portion of the area of an ellipse contained between two conjugate semidiameters and the curve . MR . F. PURSER . 7. A chain 15 ft . long rests on a rough ...
Стр. 51
... radius , so that the area of the polar triangle with respect to this circle of a given triangle shall be a minimum . 8. Show how to find the position of a point , such that it will be the centre of mean distances of the feet of the ...
... radius , so that the area of the polar triangle with respect to this circle of a given triangle shall be a minimum . 8. Show how to find the position of a point , such that it will be the centre of mean distances of the feet of the ...
Стр. 61
... radius the mean proportional between the principal radii of curvature at the extremities of that axis ; prove that the quadrics of revolution round this axis , and touching the spheres , determine by their intersection with the ...
... radius the mean proportional between the principal radii of curvature at the extremities of that axis ; prove that the quadrics of revolution round this axis , and touching the spheres , determine by their intersection with the ...
Стр. 62
... radius vector meets the two sheets of the wave surface . 10. Prove that one sheet of the wave surface is the polar reciprocal of the other sheet with respect to a certain ellipsoid . II . Give the principal steps by which Clebsch ...
... radius vector meets the two sheets of the wave surface . 10. Prove that one sheet of the wave surface is the polar reciprocal of the other sheet with respect to a certain ellipsoid . II . Give the principal steps by which Clebsch ...
Стр. 100
... radius of small circle . 1. The angles of a triangle are A = 47 ° 46 ' , B = 65 ° 12 ′ , C = 67 ° 2 ′ , and the radius of inscribed circle is 10 feet ; determine the sides . 2. From a vessel which is pursuing a due easterly course , two ...
... radius of small circle . 1. The angles of a triangle are A = 47 ° 46 ' , B = 65 ° 12 ′ , C = 67 ° 2 ′ , and the radius of inscribed circle is 10 feet ; determine the sides . 2. From a vessel which is pursuing a due easterly course , two ...
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Часто встречающиеся слова и выражения
angle axis Beginning Butler calculate centre character circle coefficient conic cubic curve Describe determine DOWDEN Dublin ellipse Ending English EURIPIDES Explain expression feet find the locus Find the value fixed point following passages force French German Give an account Give some account given Greek horizontal Ibid intersection Kant L. C. PURSER Latin MAHAFFY means Mention method Mill's Name nature PANTON parabola particle perpendiculars plane position principal PROFESSOR prove PURSER quadric quod radius relation respect right line Roman roots sides sphere surface syllogism tangent theory Thucydides tion Translate into Greek triangle Trinity College University of Dublin velocity Verse vertical W. R. ROBERTS WALTER SMITH words Write a note Write a short αὐτοῦ γὰρ δὲ εἰς ἐν καὶ μὲν τὰ τε τὴν τῆς τὸ τὸν τοῦ τοὺς τῶν ὡς
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Стр. 146 - Yet a few days, and thee The all-beholding sun shall see no more In all his course; nor yet in the cold ground, Where thy pale form was laid, with many tears, Nor in the embrace of ocean, shall exist Thy image.
Стр. 68 - In Xanadu did Kubla Khan A stately pleasure-dome decree: Where Alph, the sacred river, ran Through caverns measureless to man Down to a sunless sea.
Стр. 221 - Now, when they saw the boldness of Peter and John, and perceived that they were unlearned and ignorant men, they marvelled ; and they took knowledge of them, that they had been with Jesus.
Стр. 104 - KEEP thy foot when thou goest to the house of God, and be more ready to hear, than to give the sacrifice of fools : for they consider not that they do evil.
Стр. 232 - Wherefore, the grant of repentance is not to be denied to such as fall into sin after justification: After we have received the Holy Ghost, we may depart from grace given, and fall into sin, and by the grace of God, rise again, and amend our lives.
Стр. 221 - Again the next day after, John stood, and two of his disciples : And looking upon Jesus as he walked, he saith, Behold the Lamb of God ! And the two disciples heard him speak, and they followed Jesus.
Стр. 277 - The breezy call of incense-breathing morn, The swallow twittering from the straw-built shed, The cock's shrill clarion, or the echoing horn, No more shall rouse them from their lowly bed. For them no more the blazing hearth shall burn, Or busy housewife ply her evening care: No children run to lisp their sire's return, Or climb his knees the envied kiss to share.
Стр. 277 - How bowed the woods beneath their sturdy stroke! Let not Ambition mock their useful toil, Their homely joys, and destiny obscure; Nor Grandeur hear with a disdainful smile The short and simple annals of the poor. The boast of heraldry, the pomp of power, And all that beauty, all that wealth e'er gave, Awaits alike the inevitable hour: — The paths of glory lead but to the grave.
Стр. 274 - Shepherds, weep no more ! For Lycidas, your sorrow, is not dead, Sunk though he be beneath the watery floor. So sinks the day-star in the ocean bed, And yet anon repairs his drooping head, And tricks his beams, and with new-spangled ore Flames in the forehead of the morning sky...
Стр. 232 - Remember now thy Creator in the days of thy youth, while the evil days come not, nor the years draw nigh, when thou shall say, I have no pleasure in them...