Mathematical Questions and Solutions Volume 73 - Bookswagon
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Mathematical Questions and Solutions Volume 73

Mathematical Questions and Solutions Volume 73


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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. 1900 Excerpt: ...line be drawn from the figure X to the figure XII on a clock, and another from the fitrure IX to the figure. I, all the figures being supposed on the circumference, prove that the area of the dial between the straight lines is one-sixth of the whole area. 14417. (J-A-Third, D.Sc.)--The locus of the centre of a variable inconic K of a triangle is a conic having (imaginary) double contact with the maximum inscribed ellipse on the line 2acos A = 0, if the 1oc of the point of concurrence of the lines joining the points of contact of K with the sides to the opposite vertices is the envelope of a system of similar circumconics. intersection of OG OG?, OGs OG with F, F H2, F3H3, .., F H, they will lie on the circumference of the circle described on OA' as diameter. Solution by Professor A. Droz-farny. Dans le quadrilatere inscriptible ABOC, Gi est le point de coupe des paires de cotes opposes. 11 en resulte que le triangle FH, est autopolaire par rapport a la circonference; Grl se trouvant sur BC, sa polaire Fi passe par le pole A' de BC. En outre OGi est perpendiculaire sur FiH, ce qui demontre les deux dernieres parties. 14317. (G. H. hardy, B.A.)--Prove Frullani's theorem J-()-(0) log alb, extending it to apply to the cases in which (1) p (x), while possessing a determinate integral near any value of x, has a discrete set of infinities in the range (0, oo); (2) only the principal value of the integral is deter 14239. (B. N. Cama, M.A. In continuation of Quests. 14177 and 14207.)--If OP OQ1Q2... be two vectors including a right angle, meeting an equiangular spiral (pole O) in the points P P2. Q Qj, show that the parabolas drawn to touch the curve at P1Q1, Pjqj, and ...


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Product Details
  • ISBN-13: 9781231309988
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 26
  • Spine Width: 1 mm
  • Width: 189 mm
  • ISBN-10: 1231309989
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 68 gr


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