Elements of descriptive geometry, with applications to isometric projection and othe forms of one-plane projection; a text-book for colleges and ingineering schools by O. E. Randall.

180

DESCRIPTIVE GEOMETRY

CASE 3. To develop the surfaces.
The surface of the cylinder and the curve which lies upon it
may be developed by methods previously given (see Section 377).
The surface of the cone and the same curve which also lies upon
this surface may be developed by the method given in Section 421,
yet to be explained.
406. Problem 276. To find the intersection of two cylinders, to

t,.

FIG. 160

draw a rectilinear tangent to the curve of intersection, and to develop
the surfaces.
CASE 1. To find the intersection.
Analysis. Pass the auxiliary planes parallel to the axes of the
two cylinders.
Construction. Let the two cylinders be represented with their
two bases on H, as shown in Fig. 160. The axis of one cylinder
is represented by A-B, and the axis of the other cylinder is represented by C-D.