Mathematical Questions and Solutions in Continuation of the Mathematical Columns of "The Educational Times" Volume 8
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Mathematical Questions and Solutions in Continuation of the Mathematical Columns of "The Educational Times" Volume 8

Mathematical Questions and Solutions in Continuation of the Mathematical Columns of "The Educational Times" Volume 8


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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. 1868 Excerpt: ...of five points is made at random?" It would appear to me that in making this animadversion Professor Whitworth had not given the subject that attention which he might have done on assuming the office of a critic. Where the number of possible selections is infinite, he ought to have satisfied himself that it is virtually the same whether the five points are selected separately or as a group, and that the ambiguity he fancied was a myth of his own imagination. Before concluding these few lines I may observe that Professor Whitworth and myself are in perfect agreement as to the general interpretation and usually defined signification of the phrase "at random;" and it is only right to add that I am obliged to Professor Whitworth for having suggested the inadvertency in the enunciation of Question (2420). 2359. (Proposed by Exhumatus.)--A point is taken at random in each side of a triangle AEC, so forming a second triangle DEP; determine the locus of those points within ABC which have a given probability p of being enclosed within the triangle DEF. Similarly, when E and F lie on CM and AN, the favourable positions are II. Solution by MoBOan JenkIns, B.A. Let P be a point within the triangle; a, b, c the points in which AP, BP, CP meet BC, CA, AB, respectively; D any point in Ba; F any point in BA; -, /the points in which DP, FP meet AC. Then if F be in Bo, the favourable cases will be when E falls within if; bnt if F be in cA, the favourable cases will be when E falls within Cd. Now, using triangular coordinates, the several points may be denoted as follows: --2397, (Proposed by Professor Whitwoeth.)--If a body of homogeneous fluid be thoroughly shaken and allowed to come to rest again, the chance that no particle of the fluid now occupies its or...


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Product Details
  • ISBN-13: 9781130640168
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 28
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1130640167
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 68 gr


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