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An Introduction to Algebra. to Which Is Added an Appendix Containing a Synopsis on Variable Quantities by S. Maynard

An Introduction to Algebra. to Which Is Added an Appendix Containing a Synopsis on Variable Quantities by S. Maynard


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About the Book

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. 1836 Excerpt: ...the unknown quantity, noting the results that are obtained from each. Then, as the difference of these results is to the difference of the two assumed numbers, so is the difference between the true result, given by the question, and either of the former, to the correction of the number belonging to the result used; which correction being added to that number when it is too little, or subtracted from it when it is too great, will give the root required, nearly. And if the number thus determined, and the nearest of the two former, or any other that appears to be more accurate, be now taken as the assumed roots, and the operation be repeated as before, a new value of the unknown quantity will be obtained still more correct than the first; and so on, proceeding in this manner, as far as may be Midged necessary. The above rule of Double Position, which is much more simple and commodious than the one commonly employed for this purpose, is the same as that which was first given at p. 311 of the octavo edition of my Arithmetic, published in 1810. To this we may further add, that when one of the roots of an equation has been found, either by this method or the former, the other roots may be determined as follows: Bring all the terms to the left-hand side of the equation, and divide the whole expression, so formed, by the difference between the unknown quantity (je) and the root first found; and the resulting equation will then be depressed a degree lower than the given one. Find a root of this new equation, by approximation, as in the first instance, and the number so obtained will be a second root of the original equation. Then, by means of this root, and the unknown quantity, depress this second equation a degree lower, and thence find a third root: and so on, til...


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Product Details
  • ISBN-13: 9781236019110
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 42
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1236019113
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 95 gr


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An Introduction to Algebra. to Which Is Added an Appendix Containing a Synopsis on Variable Quantities by S. Maynard
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An Introduction to Algebra. to Which Is Added an Appendix Containing a Synopsis on Variable Quantities by S. Maynard
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