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Descriptive Geometry Volume 1

Descriptive Geometry Volume 1


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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. 1907 Excerpt: ...by revolving the lines to a position parallel to V, about an axis perpendicular to H and passing through point a. (/) To find the intersection of two planes, when each is determined by two lines, intersecting or parallel (application of the preceding case). Let it be required to find the intersection of the limited plane surfaces AB and CD, Fig 165. The intersection is a straight line connecting the two points in which two lines of either plane pierce the other plane. To find where the line A, of plane AB, pierces the plane CD, pass through A a plane, X, perpendicular to H. The plane X intersects plane CD in line ef. The line A pierces ef in point g. Pass through the line B a plane, Y, perpendicular to H. The plane Y cuts the plane CD in the line jk. It will be seen that, in order to find the point, m, where B cuts jk, it is necessary to produce the latter; that is, to produce the plane CD. Connecting the projections of points g and m gives line gn, the required intersection. 38. Visibility. This term signifies whether, in the case of planes and solids regarded as opaque, particular points, lines, and surfaces are visible or hidden, the same being determined by inspection or otherwise. Let the two planes, Fig. 165, be considered opaque, and let it be supposed that there is doubt as to which of the lines 6nv and pvgv is visible. Since the lines A and C in space do not intersect (Art. 29), it is evident that the point in which the projections Av and C intersect represents two points, p and o, one in A, the other in C. The visibility of ovnv or pvgv depends upon whether p or o is nearer the eye; that is, which point is in front of the other. Projecting from the intersection of Av and C to Ah and Ch, respectively, it is evident that o is in front of p; pn is th...


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Product Details
  • ISBN-13: 9781231147580
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 32
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 123114758X
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 77 gr

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