Mathematical Questions and Solutions in Continuation of the Mathematical Columns of "The Educational Times" Volume 59
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Mathematical Questions and Solutions in Continuation of the Mathematical Columns of "The Educational Times" Volume 59

Mathematical Questions and Solutions in Continuation of the Mathematical Columns of "The Educational Times" Volume 59


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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. 1893 Excerpt: ...the locus is evidently the part of the arc of the circle between A and the point where it cuts MN and the are extending the same distance in the opposite direction from A. The circle is the locus of the foci corresponding to the directrix MN only. and others. Solution by the Proposer; Professor Zerr; and others. Let - lines of length -, -2, &c, forming a closed polygon, angles ol, a2, &c. with a given fine. make 11678. (artemas Martin, LL.D.)--A wooden hemisphere floats in water, vertex down, with l-n"' of its axis immersed. Find the specific gravity of the hemisphere. Solution by H. W. Curjel, B.A. The volume immersed =---(3---1), where R is the radius of the 'in3 hemisphere; volume of hemisphere = irr3; therefore specific gravity v (3--l) 3-3 v '3--l Hence (3), if y, y4 = y2y3, the linear differential equation, of which the complete solution is y-Cii/3 + Cy, + Cy, where C, C2, C3 are arbitrary constants, is V = o. Solution by the Pkoposer. Substituting for y, in (a) and (4), yl andy3 respectively, and remembering the relation y, y3 = 1, we easily find, by elimination, 2A2 + 2(P1-P2)A + Q1 + Q2=0 (a), where A =--. 9-1. yl dx Differentiating and eliminating--=-1 between the result and dx 11682. (Professor Haughton, F.R.S.)--Let there be three chemical atoms o, $, y, placed at the angles of a certain triangle ABC, and let, n, v be the coefficients of attraction between $, y. 7, o; a, 0. If the triangle revolve in steady motion, in its own plane, round the common centre of gravity of a, $, 7, prove (1) that the species of the triangle is given by the proportions a3: b2: c3 = A, n, v; and find (2) the other conditions of steady motion. Solution by the Proposer. Let the accompanying figure show the general...


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Product Details
  • ISBN-13: 9781130914016
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 30
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1130914011
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 73 gr


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