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Home > Transactions of the Academy of Science of Saint Louis Volume 7: (English)
Transactions of the Academy of Science of Saint Louis Volume 7: (English)

Transactions of the Academy of Science of Saint Louis Volume 7: (English)

          
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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. 1895 Excerpt: ...c = (n2--1)tt. For the n, /" tangent equation (2) becomes m m co', =--, a----r (n, --1) 7r (23). Equations (21), (22), and (23) show that the number of branches passing through A is m, "" "" " "A' is in, "- "asymptotes is m + m, "angle at A between adjacent branches is The dashed line (Fig. 3) is the limiting line, and separates the region having branches passing through A, from that having branches passing through A'. The angle which the asymptote to the limiting line makes with OA is by equation (13) m m' 7T = 7T--77," m + m' m + m' m' in which--, v ld the angle which the asymptotes to a m + m branch passing through A', make with each other. (6) The curve representing a line of force proceeding from a system consisting of two electrified points, is the locus of the intersection of two straight lines rotating in the same plane about parallel axes, passing through those points, in such a manner that the versines of their angles of inclination to the plane of the axes change at uniform but different rates. Suppose A and A' (Fig. 1) to be the centres of two small spherical conductors having charges +m and--m', respectively. The number of lines of force leaving the mass m through the circular cone whose vertex is at A and whose semi-angle is a is N = 2-rrm (1--cos m). The number of lines of force converging to--m' through the circular cone whose vertex is at A' and whose semi-angle is to is N' = 2irm' (1--cos a'). The number of lines proceeding to the right through the circle of intersection of the two co-axial cones is iV--If' = 2-rrm (1--cos at)--2irm' (1--cos m). The locus of all such circles of intersection is a tube of force, and the meridian curve of such a tube must bo a line of force. If in the a...


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Product Details
  • ISBN-13: 9781130998658
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 142
  • Series Title: English
  • Weight: 268 gr
  • ISBN-10: 1130998657
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Spine Width: 8 mm
  • Width: 189 mm


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