The theory of engineering drawing by Adler Alphonse Andrew 1881-

Author:Adler, Alphonse Andrew, 1881- [from old catalog]
Language: eng
Format: epub, pdf
Tags: Mechanical drawing
Publisher: New York : D. Van Nostrand company
Published: 1915-03-25T05:00:00+00:00

CLASSIFICATION OF SURFACES

177

A circular ring raade of round wire, and known as a torus, is an example of a doubly concavo-convex surface.

1023. Revolution of a skew line. An interesting surface is the one generated by a pair of skew lines when one is made to revolve about the other as an axis. Fig. 180 gives such a case, and as no plane can be passed through successive elements, it is a warped surface. While revolving about the axis, the line generates the same type of surface as would be generated by a hyperbola when revolved about its conjugate axis. The surface is known as the hyperboloid of revolution of one nappe, and, incidentally, is the only warped surface of revolution.

1024. Meridian plane and meridian line. If a plane be passed through the axis of a doubly curved surface of revolution, it will cut from the surface a line which is the meridian line. The plane cutting the meridian Une is called the meridian

plane. Any meridian line can be used as the generatrix of the surface of revolution, because all meridian lines are the same. The circle is the meridian line of a sphere, and for this particular surface, every section is a circle. In general, every plane perpendicular to the axis will cut a circle from any surface of revolution, whetlier singly or doubly curved.

1025. Surfaces of revolution having a common axis. If two surfaces of revolution have a common axis and the surfaces intersect, tangentially or angularly, they do so all arountl in a circle which is common to the two surfaces of revolution. Thus, the two surfaces sliown in Fi<»;. ISl intersect, angularly, in a circle having ab as a diameter, and intersect, tangentially, in a circle having cd as a dianuMer.

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