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A System of Useful Formulae; Adapted to the Practical Operations of Locating and Constructing Railroads

A System of Useful Formulae; Adapted to the Practical Operations of Locating and Constructing Railroads


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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. 1851 Excerpt: ... the deficiency of such papers, or to refresh his memory, where, perchance, he may be somewhat in doubt. In the following formula we shall use the symbols by which we represent the triangle under consideration. Tan. X = ."Hieo-An(r+d)c-. and x + (180--A) = C; andX--J (180--A) = C. And sin. C: r + d:: sin. A: a = J -- .. -(40) or, by way of proof, we have sin. C which, if our previous computations have been correctly performed, the results of this and the preceding analogy will be alike. (40) Having solved the small triangle, we next endeavor to find the magnitude of the frog angle, and its relative position in the main track. For the accomplishment of which object, we have in the triangle CFC the three sides, to obtain their angles. Having obtained their angles, we then, by the solution of the triangle C A F, obtain the chord, which we shall represent by ch, and which will give us the distance of the frog angle in the main track from the mouth of the switch upon the outside rail of the turnout, or from A to F. We also give the following formula, without going into a general investigation, using the symbols by which we represent the lines of the present triangle under consideration. Eepresenting the guage of Hhe track by h, we have, in the triangle CFC, the line C C = a, obtained by (40;) the line C F = r + i h, which we represent by b; the line C F = r + h, which we represent by c. sin. i(180--C--Ca) or, probably, in practice, the following may be substituted with convenience, viz., E: 2c:: sin.l (C--C2): ch = sin. (C--C'2) 2c (42) (41) The next step in our investigation will be to ascertain the reversing point, M; and the terminus of the reverse curve, T. For this purpose, in the triangle C C C" we ...


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Product Details
  • ISBN-13: 9781130287882
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 34
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1130287882
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 82 gr


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