Mathematical Questions and Solutions in Continuation of the Mathematical Columns of "The Educational Times" Volume 23
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Mathematical Questions and Solutions in Continuation of the Mathematical Columns of "The Educational Times" Volume 23

Mathematical Questions and Solutions in Continuation of the Mathematical Columns of "The Educational Times" Volume 23


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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. 1875 Excerpt: ...from the centres of o, 0, 7, the perpendiculars from the centre of S on the asymptotes of F are double tangents to the quartic, whoso points of contact lie on the circle which cuts S orthogonally. In the particular case in the Question, o, 3, 7 become points, for the equation of the quartic we have Pa + m403 + -V-2W-U-UWay-Imhtyy = 0, the tangential equation of F is l + + -c = 0, from which we easily deduce the trilinear equation in question; finally, the equation of S' is P(P-m2--2)of m? (m-P-n") P + n3 (n?-P-m?)y = 0, from which we immediately find the required position of its centre, and value of radius. 4581. (By the Rev. M. M. U. Wilkinson.)--A witness whose statement is what he opines once in m times, and whose opinion is correct onee in - times, asserted that the number of a note, issued by a bank universally known to have issued notes numbered from B to B + A--1 inclusive, was B + P, where P is either 0, 1, 2, or A--1. Prove (1) that the probability that the note in question was that note is--(1 + m)(n) mn A--1 ) The above witness also said that the note was signed by X, it being universally known that X has signed one note, and Y the remaining A--1 notes; find (2) the probability that this last statement was correct. I. Solution by the Rev. T. J. Sanderson. 1. The chance that he both opined correctly and stated his opinion is--. mn The chance that he opined incorrectly, and did not state his opinion, i- (1----(1 V The chance that in the latter case he moreover chose m) n) a particular statement out of the A--1 at his disposal is (-=)(-)( .)' hence the whole chance required is the sum of the above, or 2. As before, the chance that he opined correctly and stated his opinion =-;the chance that he opined incorrec...


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Product Details
  • ISBN-13: 9781236146397
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 32
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1236146395
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 77 gr


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