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Text-Book on Practical Solid or Descriptive Geometry

Text-Book on Practical Solid or Descriptive Geometry


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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: ...which is the elevation of the spheroid, and makes 45 with X Y. The flan of the axis of the cylinder is " distant from the centre of the circle which is the plan of the spheroid, and makes 30 tvith X Y. To draw the projections of the intersection of these two solids. The ellipse which is the horizontal trace of the cylinder may be determined as in Problem 112, p. 47. Pig. 155. Take any circular section, a b, a'bf, of the spheroid, and imagine a line to move so as to always meet this circle and be parallel to the axis m n, m'n' of the given cylinder. This moving line will describe the surface of a cylinder every horizontal section of which will be a circle equal to a b, a'V. G2 The axis h o, h'o' of this auxiliary cylinder will be parallel to m n, raW, and a circle with the horizontal trace of h o, h'd for centre and a diameter equal to that of a b, a'V will be the horizontal trace of this cylinder. The points r and s in which the horizontal trace of the auxiliary cylinder meet the horizontal trace of the givon cylinder are evidently the horizontal traces of the lines of intersection of these two cylinders. The plans p r and q s of these lines will be parallel to m n, and their elevations pW and gV will be parallel to mV. The points p and q, where the lines p r and q s meet the circle a b, are the plans of points on the intersection required, and the points p'q', where the elevations of these lines meet a' b', are the elevations of the same points. But the student will observe that the lines p r and q s each meet the circle ab in two points. The question, therefore, arises, are all the four points thus obtained points on he intersection required? and, if not, which ones mast we take? The answers to these questions will appear from the following considera...


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Product Details
  • ISBN-13: 9781231305379
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 46
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1231305371
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 100 gr

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