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Dublin Problems; A Collection of Questions Proposed to the Candidates for the Gold Medal at the General Examinations, from 1816 to 1822 Inclusive. Which Is Succeeded by an Account of the Fellowship Examination, in 1823. a Collection of Questions Pr

Dublin Problems; A Collection of Questions Proposed to the Candidates for the Gold Medal at the General Examinations, from 1816 to 1822 Inclusive. Which Is Succeeded by an Account of the Fellowship Examination, in 1823. a Collection of Questions Pr


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About the Book

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1823. Excerpt: ... 2J. Three pencils are attached to the extremities and an intermediate point, in a ruler of a given length, and the ruler is so moved that the extreme pencils describe right lines given in position to find the line described by the intermediate pencil. 22. If the same ruler be so moved that the extreme pencils describe two circles given in magnitude and position, to determine the line described by the intermediate pencil. 23. Find two mean proportionals by the conchoid of Nicomedes. 24. Trisect an angle by the same curve. 25. Find the evolute of the parabola. SECOND EVENING. PHYSICS. 1. Expression of the velocity in a trajectory described round a fixed centre of force. 2. What is the constant of this integral? 3. Given ff and r' the angle and distance of projection, the force varying inversely as the third power of the distance, find the velocity, such that the orbit may be the hyperbolic spiral. 4. Equation of the spiral thus described. 5. The ratio of the velocity in it to that in a circle at the same distance. 6. The angular velocity in this spiral is equal to the angular velocity in a circle at the same distance. 7-The centrifugal and centripetal forces are equal in it. 8. Shew that the paracentric velocity is uniform, and determine its value. 9. Determine the ratio of the area to the time, and shew that it is the same for all hyperbolic spirals round the same pole. 10. Determine the value of the same ratio in the logarithmic spiral..... ', '-.' 11. Determine in this curve the ratio of the velocity to the velocity in a circle at the same distance. 12. Determine the time of the body in this spiral, describing 180, and shew that the times of describing each 180 are in geometrical pro gression. 13. Determine the equation of the curve described by a repulsi...


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Product Details
  • ISBN-13: 9781151314055
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Height: 246 mm
  • No of Pages: 34
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1151314056
  • Publisher Date: 02 Feb 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 82 gr


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Dublin Problems; A Collection of Questions Proposed to the Candidates for the Gold Medal at the General Examinations, from 1816 to 1822 Inclusive. Which Is Succeeded by an Account of the Fellowship Examination, in 1823. a Collection of Questions Pr
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Dublin Problems; A Collection of Questions Proposed to the Candidates for the Gold Medal at the General Examinations, from 1816 to 1822 Inclusive. Which Is Succeeded by an Account of the Fellowship Examination, in 1823. a Collection of Questions Pr
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Dublin Problems; A Collection of Questions Proposed to the Candidates for the Gold Medal at the General Examinations, from 1816 to 1822 Inclusive. Which Is Succeeded by an Account of the Fellowship Examination, in 1823. a Collection of Questions Pr

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