The essentials of descriptive geometry . Fig. 116. two elements from the cylinder. These intersect at E and B,two more points on the curve. Auxiliary plane T locates pointsD and C, and in this maimer the entire curve may be located. 119. Proposition 37. Given any surface of revolution to findits intersection with a cone. SURFACES OF REVOLUTION 149 Discussion. See Article 116. Construction. In Fig. 117 is a cylinder of revolution with ahemispherical top, intersected by a cone with a circular a study of the figure it will appear that the auxiharyplanes should be passed parallel to H, f
The essentials of descriptive geometry . Fig. 116. two elements from the cylinder. These intersect at E and B,two more points on the curve. Auxiliary plane T locates pointsD and C, and in this maimer the entire curve may be located. 119. Proposition 37. Given any surface of revolution to findits intersection with a cone. SURFACES OF REVOLUTION 149 Discussion. See Article 116. Construction. In Fig. 117 is a cylinder of revolution with ahemispherical top, intersected by a cone with a circular a study of the figure it will appear that the auxiharyplanes should be passed parallel to H, for in this direction each. Fig. 117. plane cuts a circle from each surface. Thus, plane R cuts fromthe cone a circle whose radius is yl and from the other surface acircle whose radius is x2. These two circles intersect at A andB two points on the required curve. By passing other planesparallel to R the curve of intersection may be completely deter-mined. ISO ESSENTIALS OF DESCRIPTIVE GEOMETRY 120. Proposition 38. Given any two surfaces of revolutionwhose axes intersect to find the curve of intersection of thesurface.
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