Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times. Volume 46
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Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times. Volume 46

Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times. Volume 46


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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. 1887 Excerpt: ...the fluid in contact with a plane is assumed to move with the plane. Solution by D. Edwarbes. Taking the origin in tbe fixed plane, the z-axis in the direction of the vibration, and y-axis perpendicular to the planes, the equations of motion 8583. (By J. Biull, M.A.)--If p denote the pressure at any point in a homogeneous incompressible fi aid which is in irrotational motion of a two-dimensional character, subject to the action of a field of force whose Solution by D. Edwardes; Prof. Siroom, M.A.; and others. If p be the velocity potential, so that and the result follows at once by differentiating, observing that V!- = 0, v2- = 0. 8568. (By Rev. T. R. Terry, M.A.)--Three equal circles (radius a) pass through a point O and intersect two and two in the points A, B, 0. Three circles are drawn each passing through O and one of the points A, B, C, and cutting the third circle orthogonally in the points D, E, F. Show that (1) the circles AD, BE, CF have a common radical axis; and (2) the circle drawn through the points D, E, F touches the circle whose centre is O and radius 2a, and which touches the first three circles. Solution by the Proposer; Prof. Ignacio Beyens; and others. In a plane triangle ABC it is well known (1) that three perpendiculars AD, BE, CF meet in a point; and (2) the circle through the points D, E, F tonches the inscribed circle. Invert the whole figure with respect to the centre of the inscribed circle, and we obtain the given theorems. 8590. (By Professor Bordaoe.)--An isosceles triangle ABC l.oing given, tind in its base BC two points D and E, and in the sides AB, AC two points F, G, such that the pentagon AFDEG shall have equal s: dod. Solution by Ilev. James White, M.A. Let A'B'C be any triangle, take an angle BAC = the angle B'..


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Product Details
  • ISBN-13: 9781130003505
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 32
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1130003507
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 77 gr


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Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times. Volume 46
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