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The Analyst Volume 8

The Analyst Volume 8


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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. 1881 Excerpt: ...of the parallel of latitude goo; what is the longitude 10 of the point Pon this parallel so that the course APB shall be the shortest course from A to B which does not pass north of this parallel?" SOLUTION BY R. S. WOODWARD, DETROIT, MICH. Since the course APB is to be a minimum, AP and PB must be arcs ot great circles. Designate them by s1 and s, respectively. Then Mr. George Eastwood has given an extended discussion of, and demonstration of the afiirmation contained in, the Query at the foot of p. 31, but the space at our command will not permit its publication in this number; we hope, however to be able to present it to our readers in a future number. We take this opportunity to notify our readers that, in consequence of our intended absence from home during the fore part of June, No. 4 will probably not be mailed to subscribers until about the 10th of July.--Ed. PROBLEMS. 346. By Prof W. W. Hendrickson.--Chords of the parabola y = 4a: v are drawn through the fixed point (h, lo); required the locus of the intersection of' normals drawn at the extremities of the chord. 349. By Prof. W. W. Johnson.--From any point B of a circle, whose radius is a, a perpendicular BR is drawn to a fixed straight line whose distance from the centre is b; and from R a perpendicular RD is drawn to the tangent at B. Produce RD to P making DP = RD. Find the rectangular equation of the locus of P, and of the evolute of this locus. This is a re-statement of 321, as the solution of that problem by Prof. Casey indicates that it was not understood as Prof. Johnson intended. 350. By Request.--A series of circles touching each other at a point are cut by a fixed circle; show (by third Book of Euclid) that the intersections of the pairs ot. tangents to the latter, at the points wh...


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Product Details
  • ISBN-13: 9781231965344
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 54
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1231965347
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 113 gr


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