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The Leeds Correspondent Volume 1; A Literary, Mathematical and Philosophical Miscellany

The Leeds Correspondent Volume 1; A Literary, Mathematical and Philosophical Miscellany


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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. 1815 Excerpt: ...1048576 Cpnsequently, if all the probabilities be collected, we shall have "9783+ 152280 + 28620+ 1440+ 15 1048576 372138 tjje probability 0f A winning. 1048576 J 8 Therefore 1-372138 = 6?6438 the proba 1048576 1048576 bility to the contrary; hence the odds are as 676438 to 372138, or nearly as 1.8 to 1, or as 9 to 5. Now, according to the nature of the thing, one of the three following events must happen, namely, that A must win, or B win, or be even; but the probability of D--372138 X 2 744276 either A or B winning is _ = _! ' 1048576 1048576 therefore 1-744276 = 304300 the proba 1048576 1048576 bility of being even; but for the match to be even, one of the five following events must take place, namely, that both A and B must miss all five, or both kill one pre cisely, or two or three, or four, or five; but the probaof both A and B missing all five is 1024 1024 1048576 the probability of being even, as before. 304300 1048756 It was also answered by Mr. Babies. (42) By Mr. J. H. Swale, Brunswick-Place, Liverpool. The lines ABD, ACE, are indefinite tangents to a given circle BCT, and P a given point; it is required to draw the third tangent DTE such, that drawing PQ, making with DTE a given L, the ratio DQ: QE shall be given. Solution by the Proposer. A Suppose the tangent DTE drawn as required. To R the centre of the circle., draw AR, DR, ER, PR, QR, CR, TR; let a triangle similar to DAE, and having its angles H, I, L upon the lines DR, AR, .ER, be circumscribed by the circle HILM: draw FG parallel to QP meeting RP in G; join TP, KG, IG; produce IR, IG to the circle at M, N, join ML, MN and draw M V parallel to RG meeting IN in V. The points F, H, O, being the intersections of RQ, RT, RC with HL and LI, we have obviously RQ: RF = RT: RK =; RP: RG and RK...


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Product Details
  • ISBN-13: 9781236262226
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 74
  • Spine Width: 4 mm
  • Width: 189 mm
  • ISBN-10: 1236262220
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 150 gr


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