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Descriptive Geometry as Appeares to the Drawing of Fortification and Stereotomy

Descriptive Geometry as Appeares to the Drawing of Fortification and Stereotomy


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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. 1873 edition. Excerpt: ...; th.ere obtains CD: Cm:: od: on; that is, the line joining the points D and d passes through the point 0. JEtwnwrk. This surface is a right conoid of which the horizontal plane is ih& plane director. Prob. 6. To construct a tangent plcme and a normcd w to the conoid at any point:, as n, n7. Draw the projections of the element Om, o'm' of the surface at the given point. Find where the tangent to the directing ellipse at the point m, m' pierces the horizontal plane. Join this point I) with 0. Through n draw a parallel to CD) and where it cuts OD, at $, draw a line i"T parallel to Om. This is the horizontal trace of the tangent plane at n n'. For the tangent line at the given point to the ellipse projected in.'a'b pierces the horizontal plane at d, this is therefore one point of the horizontal trace required, and as the element of the surface is contained in the tangent plane and is horizontal the trace XY will be parallel to Om, . The line zv drawn through n perpendicular to 2LY is the indefinite projection of the normal to the surface at n n'. JProb. 75 (PI. A) Fig. 6.) To draw a tangent plane and a normal line to a helicoidal surface at a given point on the surface, Suppose XYZ, the involute of any given curve wyz, to be the base of a vertical cylinder; and let the line Zy', tangent to this curve at Z, be the horizontal trace of a plane tangent to the cylinder along the element projected in Z; and in this tangent plane, revolved on the horizontal plane, let any inclined line Zy" be drawn through the point Z. If the tangent plane be now returned to its vertical position, and be wrapped around the vertical cylinder, the inclined line Zy" will form a helix on the cylinder, and the points y'', m," &c., in their position on the cylinder, will be...


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Product Details
  • ISBN-13: 9781151528667
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 30
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1151528668
  • Publisher Date: 08 Jul 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 73 gr


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