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The Elements of Descriptive Geometry, Shadows and Perspective (Volume 2); With a Brief Treatment of Trihedrals, Transversals, and Spherical, Axonimetric and Oblique Projections for Colleges and Scientific Schools

The Elements of Descriptive Geometry, Shadows and Perspective (Volume 2); With a Brief Treatment of Trihedrals, Transversals, and Spherical, Axonimetric and Oblique Projections for Colleges and Scientific Schools


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About the Book

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. 1877. Excerpt: ... CHAPTER II. DEVELOPABLE SURFACES. Definitions. 30. Proceeding with ruled surfaces (22), we come to single curved surfaces, of which developable surfaces, as the simplest, are considered first. The only developable surface of revolution is the cone, including the cylinder of revolution as one of its extreme cases. The cone of revolution is generated by the revolution of a straight line about an axis which it intersects at any angle. 31. The opposite extreme cases of the cone are, first, that in which this angle is nothing, when the generatrix (19) is parallel to the axis, and the surface becomes a cylinder of revolution, and, second, that in which the same angle is a right angle, when the cone becomes a plane (23). 32. The intersection of the generatrix of a cone with its axis is called its vertex. As the generatrix is of indefinite extent in both directions from this point, in an immaterial or purely geometrical cone, the complete conic surface consists of two equal and opposite parts, of indefinite extent, on each side of the vertex. These are called the two nappes. 33. The base of a cone of revolution is any plane section of it, usually understood as a circular one, at which its elements are supposed to terminate, or at which it rests upon some plane. Thus the horizontal trace of any cylinder or cone is also often called its base. Circular sections of surfaces of revolution generally, are called parallels, and are in planes perpendicular to the axis of revolution. Planes containing the axis are called meridian planes, and the sections in them, meridians. A--Projections. 34. As already seen (Theor. III.), the projections of circles seen obliquely are ellipses. Such, therefore, will be one or both of the projections of the base of a cylinder or cone whose...


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Product Details
  • ISBN-13: 9781154332636
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Height: 246 mm
  • No of Pages: 86
  • Spine Width: 5 mm
  • Width: 189 mm
  • ISBN-10: 1154332632
  • Publisher Date: 06 Feb 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 168 gr


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The Elements of Descriptive Geometry, Shadows and Perspective (Volume 2); With a Brief Treatment of Trihedrals, Transversals, and Spherical, Axonimetric and Oblique Projections for Colleges and Scientific Schools
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