Descriptive Geometry

Cover Descriptive Geometry
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Place the line also in the position ad (a h d h, a v d") parallel to H, where a h d h (equals a v c v ) equals the true length of the line and makes with GL the angle, /?, which the line makes with V. Revolve this line about an axis through a perpendicular to V, by drawing the projections, K" and K h, of the arc in which d revolves.
The point b (b h, b v ), which determines the projections of the required line ab, is found at the intersection of the two paths of revolution J and A". Note that t
...his point is independently determined in each projection; hence as a check on the work the projector b v b h should be perpendicular to GL.
CHAPTER IX SOME SIMPLE INTERSECTIONS — DEVELOPMENTS 84. Simple Intersections of Solids of Revolution. In generat- ing the surface of a solid of revolution, each point of the gener- ating line describes a circle which lies in a plane perpendicular to the axis, and whose center lies in the axis (§ 74). If the axis of the surface be placed perpendicular to H (or V), these circles will project on H (V) in their true shape and size, and on V (H) as horizontal straight lines which are the edge views of the planes containing the circles (§ 75).


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