Examinations Papers1896 |
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Σελίδα 43
... fixed point its middle point traces out a second para- bola whose latus rectum is half of that of the first parabola . 4. If a chord of an ellipse be parallel to a fixed line , shew that the sum of the eccentric angles of the ...
... fixed point its middle point traces out a second para- bola whose latus rectum is half of that of the first parabola . 4. If a chord of an ellipse be parallel to a fixed line , shew that the sum of the eccentric angles of the ...
Σελίδα 47
... fixed point , shew that the curve is plane . 9. Give the theory of the solution of the equations dx X dy = Y = dz Z where X , Y , Z are given functions of x , y , z . Solve the equations dx bz - = dy -- απ ay CX cy dz - bx 10. Shew how ...
... fixed point , shew that the curve is plane . 9. Give the theory of the solution of the equations dx X dy = Y = dz Z where X , Y , Z are given functions of x , y , z . Solve the equations dx bz - = dy -- απ ay CX cy dz - bx 10. Shew how ...
Σελίδα 52
... a vertical plane with the line of cusps uppermost and horizontal is attached by a light elastic string which lies along the cycloid to a fixed point , shew that the oscillations will be simple harmonic if the 52 EXAMINATION PAPERS .
... a vertical plane with the line of cusps uppermost and horizontal is attached by a light elastic string which lies along the cycloid to a fixed point , shew that the oscillations will be simple harmonic if the 52 EXAMINATION PAPERS .
Σελίδα 53
... fixed points and the sum of the forces , which are all vertical , at the intermediate angles , find graphically these forces and the stresses in the polygon . 6. State and prove a set of necessary and sufficient conditions for the ...
... fixed points and the sum of the forces , which are all vertical , at the intermediate angles , find graphically these forces and the stresses in the polygon . 6. State and prove a set of necessary and sufficient conditions for the ...
Σελίδα 54
... fixed together so as to form in section a rectangular cross of equal arms . Shew that they will float stably upright if b2 > 12。( 1 — σ ) 2 where σ is the sp . gr . of the laminae . 11. Prove Bernoulli's theorem that p + { q2 + w = C Ρ ...
... fixed together so as to form in section a rectangular cross of equal arms . Shew that they will float stably upright if b2 > 12。( 1 — σ ) 2 where σ is the sp . gr . of the laminae . 11. Prove Bernoulli's theorem that p + { q2 + w = C Ρ ...
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Άλλες εκδόσεις - Προβολή όλων
Δημοφιλή αποσπάσματα
Σελίδα 25 - In consecrated earth And on the holy hearth The Lars and Lemures moan with midnight plaint ; In urns, and altars round, A drear and dying sound Affrights the Flamens at their service quaint ; And the chill marble seems to sweat, While each peculiar Power forgoes his wonted seat.
Σελίδα 324 - He feels from Juda's land The dreaded Infant's hand; The rays of Bethlehem blind his dusky eyn; Nor all the gods beside Longer dare abide, Not Typhon huge ending in snaky twine : Our Babe, to show his Godhead true, Can in his swaddling bands control the damned crew.
Σελίδα 42 - There were hills, which garnished their proud heights with stately trees ; humble valleys, whose base estate seemed comforted with the refreshing of silver rivers: .meadows, enamelled with all sorts of eye-pleasing' .flowers ; thickets, which being lined with most pleasant shade were witnessed so...
Σελίδα 63 - Perhaps there is no more impressive scene on earth than the solitary extent of the Campagna of Rome under evening light. Let the reader imagine himself for a moment withdrawn from the sounds and motion of the living world, and sent forth alone into this wild and wasted plain. The earth yields and crumbles beneath his foot, tread he never so lightly, for its substance is white, hollow, and carious, like the dusty wreck of the bones of men. The long knotted grass waves and tosses feebly in the evening...
Σελίδα 190 - Namque canebat, uti magnum per inane coacta semina terrarumque animaeque marisque fuissent et liquidi simul ignis; ut his exordia primis omnia et ipse tener mundi concreverit orbis...
Σελίδα 213 - Whosoever is delighted in solitude, is either a wild beast or a god : '' for it is most true, that a natural and secret hatred and aversion towards society in any man hath somewhat of the savage beast ; but it is most untrue that it should have any character at all of the divine nature, except it proceed, not out of a pleasure in solitude, but out of a love and...
Σελίδα 440 - Fame is the spur that the clear spirit doth raise (That last infirmity of noble mind) To scorn delights and live laborious days; But the fair guerdon when we hope to find, And think to burst out into sudden blaze, Comes the blind Fury with the abhorred shears, And slits the thin-spun life. "But not the praise...
Σελίδα 328 - Le style ne peut donc ni s'enlever, ni se transporter, ni s'altérer : s'il est élevé, noble, sublime, l'auteur sera également admiré dans tous les temps; car il n'ya que la vérité qui soit durable, et même éternelle.
Σελίδα 204 - Were you the earth, dear love, and I the skies, My love should shine on you like to the sun, And look upon you with ten thousand eyes, Till heaven waxed blind, and till the world were done.
Σελίδα 49 - C'est faute de plan, c'est pour n'avoir pas assez réfléchi sur son objet, qu'un homme d'esprit se trouve embarrassé, et ne sait par où commencer à écrire.