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Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times Volume 33 download torrent

Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times Volume 33 download torrent

Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times Volume 33 by Books Group

Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times Volume 33
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Author: Books Group
Number of Pages: 32 pages
Published Date: 01 Mar 2012
Publisher: Rarebooksclub.com
Publication Country: Miami Fl, United States
Language: English
Format: Pdf
ISBN: 9781130325287
File Name: Mathematical.Questions.and.Solutions.in.Continuation.of.the.Mathematical.Columns.of.the.Educational.Times.Volume.33.pdf
Download Link: Mathematical Questions and Solutions in Continuation of the Mathematical Columns of the Educational Times Volume 33
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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. 1880 Excerpt: ...without calculation; for the chance that the mixture contains not less than i (m + n) wine must be equal to the chance that it contains not more than i (m + n) wine, that is, J. 5167. (By Prof. Seitz, M.A.)--A point is taken at random in the surface of a given circle, and from it a line equal in length to the radius is drawn, so as to lie wholly in the surface of the circle; find the chance that the line intersects a given diameter. Solution by Rev. H. J. Day, M.A.; E. B. Elliott, M.A.; and others. Let p be the distance of the random point P from the centre of the circle C; c the radius of the circle; and p the inclination of CP to the given diameter. Then the whole range of the angles at which the radius can be drawn as prescribed through p, is 2cos-1--, and the number that cut the dia2c meter in that set is, evidently, This expression does not seem to admit of integration in finite terms. 5758. (By Rev. H. Q. Day, M.A.)--If A, B be two fixed points, and P a variable point in the line AB, and if with A, P as foci an ellipse of eccentricity -i be drawn, and with B, P as foci an ellipse of eccentricity c2, intersecting the former in Q; prove that the locus of Q is an ellipse with A, B as foci. 4817. (By Professor Sylvester, F.E.S.)--In a school of 15 girls, a rale has heen laid down that they shall walk out every day in rows of threes, but that the same two girls shall never come together twice in the same row. The rule is supposed to have heen carried out correctly during the six working days of the week, but when the time comes for their going to church together on Sunday it is found to be absolutely impossible to continue it any further. Investigate whether the rule can have been correctly carried out during the six previous days; and if so, show how...

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