A Manual of Descriptive Geometry With Numerous Problems

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Construct the base of the cone and the rq. tangent. By counter-revolu- tion the two necessary intersecting lines will appear.
Peob. 66. Consider the gn. pt. the vertex of a cone of rev- olution whose axis is -L to the gn. plane and whose elements make the ^ fi. with that plane. Find the axis of this cone, the radius of its base and the pt. where its axis pierces the gn.
plane. In the developed position of the gn. plane find the pt.
in which the base of the cone cuts the gn. line. By counter- re
...volution two pts. wiU appear for determining the rq. line.
In general, two solutions.
Peob. 67. Designate the face 2(^s by a, p, y, then- opposite dihedral ^ s by ^, B, C. Assume one face ^, as /3, in if with the edge between a and /3 _L to G*. Construct the ^ a in if adjacent to and on one side of /3 ; the ^ y in fl" adjacent to and on the other side of y8. Let the common vertex of a, ^, y, be 0. This will be the vertex of two cones of revolution, any pt. besides (0) in whose common element is sought.


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