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Ergebnisse 1-5 von 37
Seite 19
... fixed at their other extremities to two smooth joints in a vertical line : find the stresses at the joints . 14. Two equal smooth spheres are placed inside a smooth hollow cy- linder open at both ends , which rests on a horizontal plane ...
... fixed at their other extremities to two smooth joints in a vertical line : find the stresses at the joints . 14. Two equal smooth spheres are placed inside a smooth hollow cy- linder open at both ends , which rests on a horizontal plane ...
Seite 42
... fixed point . De- termine the equation of the locus described by the vertex . 9. State and prove Sturm's theorem for the case of an equation which has no equal roots . 10. If λ , μ , v denote the roots of Euler's reducing cubic for a ...
... fixed point . De- termine the equation of the locus described by the vertex . 9. State and prove Sturm's theorem for the case of an equation which has no equal roots . 10. If λ , μ , v denote the roots of Euler's reducing cubic for a ...
Seite 50
... fixed points shall be given . Under what circumstances will the problem become impossible ? 12. Through a fixed point P within the legs of a fixed angle , show how to draw a line forming with them a triangle of minimum area , and prove ...
... fixed points shall be given . Under what circumstances will the problem become impossible ? 12. Through a fixed point P within the legs of a fixed angle , show how to draw a line forming with them a triangle of minimum area , and prove ...
Seite 51
... fixed concurrent lines , and a fixed point 0 , two circles are described touching the other two lines in T , T ' ; prove that the ratio of the rectangles PT . OT ' , PT ' . OT is constant . 12. Prove that a circle which cuts two given ...
... fixed concurrent lines , and a fixed point 0 , two circles are described touching the other two lines in T , T ' ; prove that the ratio of the rectangles PT . OT ' , PT ' . OT is constant . 12. Prove that a circle which cuts two given ...
Seite 52
... fixed coaxal circles . Hence prove that if the distance of a point P from a given fixed point O exceed by a constant difference the length of the tangent from P to a given circle , the sum or difference of the distances of P from two ...
... fixed coaxal circles . Hence prove that if the distance of a point P from a given fixed point O exceed by a constant difference the length of the tangent from P to a given circle , the sum or difference of the distances of P from two ...
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Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 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...
Seite 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...