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Practical Geometry, Perspective, and Engineering Drawing

Practical Geometry, Perspective, and Engineering Drawing


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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. 1884 Excerpt: ... plan of the base) are the plans. The elevations t, t'2 of tt and t2 (obtained by projection) determine the indices 46 and 31 of tx and t2 respectively. It remains merely to determine two planes, one containing v 7, i 41-4, and tx 46, and the other containing v 7, i 41-4, and t2 31 (Prob. IV., Chap. IV.). The scales of slope of these planes are shewn in the figure. Note a. The points tv and t2 should be determined by one of the construc tions of Plane Geometry. Note b. The problem may be solved in another way without using the base of the given cone. If a sphere of any radius is inscribed in the given cone, and a second cone with the given external point as vertex is determined, also enveloping this sphere; then the required planes must touch both cones and can be determined as in Prob. I. of this chapter. Determine planes to touch a given cylinder and be Problem parallel to a given line. III. If the given line is parallel to the axis of the given cylinder the Note, problem is indeterminate. In all other cases there will be two planes fulfilling the required conditions, but if the given line touches the cylinder one of the planes must contain it. In Fig. 60, Pl. XVI., a 27, b 5 is the plan of the axis Fig. 60, Pi. of the given cylinder. On the line a b, taken as a XVIground line of level 5, an elevation dJIh'g') of the cylinder is made. Again, s--8-5, t 50-3 is the plan of the given line, and s t' is its elevation on a b. Now all planes tangent to the cylinder must be parallel to its axis; hence if a plane is determined containing S T the given line and parallel to A B the axis of the cylinder, the required planes will be parallel to this plane, and must therefore cut the plane of the base of the cylinder in lines parallel to that in which the plane contain...


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Product Details
  • ISBN-13: 9781236032065
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 66
  • Spine Width: 4 mm
  • Width: 189 mm
  • ISBN-10: 1236032063
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 136 gr


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