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Text-Book of Algebra Volume 1; With Exercises for Secondary Schools and Colleges

Text-Book of Algebra Volume 1; With Exercises for Secondary Schools and Colleges


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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. 1898 edition. Excerpt: ... when hm_d and m1mi. Such a result shows that the assumption that the couriers meet to the right of B is untenable, since, as we have seen, in that case the result is positive. If we substitute--x for x in equation (1), we obtain This equation is satisfied by a positive root having the same absolute value as the root of equation (1). It is readily seen that the new equation corresponds to the assumption that the meeting of the couriers takes place to the left of B, either at the point Cj or at the point C'3 (Fig. 10). That this assumption is in accord with either of the two sets of conditions, namely, that hmd and mjmi, or that Anid and tami, will be evident from the following considerations: If we suppose that the meeting takes place at C2, the first courier in d--x passing from A to C'2 travels d--x miles in--hours; the second m2 of the numbers of hours, according to the condition of the problem, must be equal to A. This condition is, in fact, expressed by equation (2). If, on the other hand, the couriers meet at Cs, the distance from Cj to x--d A being x--d miles, it takes the first courier hours to travel from x mi Ca to A, and the second courier--hours to travel from C3 to B. From m2 x x--d the condition of the problem it follows that--must exceed----by A. We therefore have m m' x x--d. x, d--x.--= n, or 1 A. mj mi ni ri This equation is identical with equation (2). That under the assumed conditions the couriers can meet only at some point to the left of B can also be inferred from the following considerations, which are independent of the negative result: If Ami d, the first courier has passed B when the second courier is seen at that station; that is, the second courier is behind the first at that time. And since also...


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Product Details
  • ISBN-13: 9781234933920
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 108
  • Spine Width: 6 mm
  • Width: 189 mm
  • ISBN-10: 1234933926
  • Publisher Date: 01 Oct 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 209 gr


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Text-Book of Algebra Volume 1; With Exercises for Secondary Schools and Colleges
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