Questions in Mathematics by John C Smith at Bookstore UAE
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Questions in Mathematics

Questions in Mathematics


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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. 1889 edition. Excerpt: ...figure will make up the number of places of figures in the required root, as indicated by the pointing off of the figures of the given number, and assuming the number thus formed to be the number of the edge of a regular tetrahedron, find the number of octahedra contained in such regular tetrahedron. Then from the quotient of the given number divided by 6 subtract the number of octahedra thus found, and set down the remainder. Find then the difference between the number of octahedra so found and the number contained in a regular tetrahedron of the next succeeding edge, and divide the remainder found as above by such difference. The quotient as a whole number (disregarding fractions) resulting from such division, if it shall consist of places of figures equal in number to the number of placesof the required figures of the root, will be such required figures; but if it be less, then prefix thereto one or more ciphers, as may be necessary to make up such number of places, and such cipher or ciphers with the quotient will be such required figures. Find now the number of octahedra contained in a regular tetrahedron of edge equal to the whole root as thus found, and multiply such number of octahedra by 6, and to the product add the number of the root. The sum, will be equal to the given number if the latter be a perfect third power; but if such sum be less, then subtract it from the given number and the remainder will be the excess of the given number over and above the greatest third power therein contained. To illustrate.--Let it be required to find the third root of the greatest third power and remainder over, if any, contained in the given number 1.006012009. By pointing off the figures of the given number, the first figure of the root is..


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Product Details
  • ISBN-13: 9781151806031
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 36
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 115180603X
  • Publisher Date: 01 Apr 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 82 gr


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