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Rational Analysis

Rational Analysis


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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. 1846 edition. Excerpt: ...powers and roots of numbers.) Then suppose the distance at which the fall is to commence to be lessened to l-60th part, and consequently that the number of units of spaces described in the given moment will be increased to 3600, made up of the sum of the odd numbers in their order. Now perhaps no proposition can become more manifest in its solution than that the amount of force expended in the given moment, is just the square root of the amount of the space described; for the force being uniform, will of course, in order to correspond with the number of spaces, be divided into 60 parts; the same amount being expended in describing the three spaces next succeeding the first, as is expended in the first; and consequently the amount of force expended in describing the first space is equal to that expended in describing an equal space or the unit space at 60 times the distance; and consequently, in either case, the amount of force expended is the square root of the amount of the space described; and hence the conclusion is inevitable, that the rate or intensity of the force is inversely as the distance. And now, aside from demonstration, whether such consideration of the subject be more or less rational or satisfactory to the mind, than that which has so long received the popular sanction, remains to be determined, viz. whether physical force or whether passive time, which has no physical agency in the matter, shall have the credit of performing the operation, viz. that of urging a body of ponderous matter over a given space; for the fact will not be controverted for a moment by any one, that by the popular determination in respect to the law of falling bodies, time is a far more efficient agent than force; and that if one body commence falling at...


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Product Details
  • ISBN-13: 9781150898501
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 122
  • Spine Width: 7 mm
  • Width: 189 mm
  • ISBN-10: 115089850X
  • Publisher Date: 10 Jul 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 231 gr


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