The Messenger of Mathematics Volume 7

The Messenger of Mathematics Volume 7

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1878 edition. Excerpt: ...Arctic Expedition. Prof. Osborne Reynolds.-On the rate of progression of groups of waves and the rate at which energy is transmitted by waves. The sum of 100 was granictl to the Committee on Mathematical Tables for commencing the calculation of a factor table for the fourth million, in continuation of Buickliardt.'s tabla of the first three millions. Dase's tables extend from 6,000,000 to 9,000,000 so that there is a gap of three millions which it is now proposed to fill up. The whole sum granted on the recominendation of Section.4 was 240. A committee was appointed to invite reports on different special branches of science. The Association adjourned on Wednesday, August 22, till Wednesday, Aiigust 14, 1878, at Dublin. Mr. W. Spottiswoode is the President elect. In 1879 the meeting of the Association will be held at Nottingham; and it is probable that the meeting will be held in 1880 at Swansea, and in 1881 at York, the city where the meeting of the Association took place fifty years before. J. W. L. G. ON A SIMPLE PROOF OF LAMBERTS THEOREM. By Professor J. C. Adams, MA, F.R.8. THE following proof of Lambert's theorem, which I find among my old apers, appears to be as simple and direct as can be desired). Let a denote the semi-axis major and e the eccentricity of an elliptic orbit, n the mean motion and y. the absolute force. Also let r, r' denote the radii vectores, and u, u' the eccentric anomalies at the extremities of any arc, Ia the chord, and t the time of describing the arc. Hence we see that if a, and therefore also n, be given then r+ r', k and t are functions of the two quantities u--u' u + u' and e cos 2 The first two of these equations give /3 +a and B-or in terms of r +...
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Product details

  • Paperback | 36 pages
  • 189 x 246 x 2mm | 82g
  • United States
  • English
  • black & white illustrations
  • 1236962389
  • 9781236962386