The essentials of descriptive geometry . Fig. 95. Construction. When the axis of the cone is oblique to H andV, the base being any plane curve. In Fig. 96, S is the given plane cutting the cone whose apexis Q. Pass auxihary planes R, \J, V, etc., through 0 perpendicu- I20 ESSENTIALS OF DESCRIPTIVE GEOMETRY lar to H. The auxiliary plane R cuts from the cone one elementand from the plane S the line OM. This Une OM intersects thiselement at F, one point on the curve of intersection. In likemanner the plane U determines the point E of the curve. Now. Fig. 96. in problems of this character it gener
The essentials of descriptive geometry . Fig. 95. Construction. When the axis of the cone is oblique to H andV, the base being any plane curve. In Fig. 96, S is the given plane cutting the cone whose apexis Q. Pass auxihary planes R, \J, V, etc., through 0 perpendicu- I20 ESSENTIALS OF DESCRIPTIVE GEOMETRY lar to H. The auxiliary plane R cuts from the cone one elementand from the plane S the line OM. This Une OM intersects thiselement at F, one point on the curve of intersection. In likemanner the plane U determines the point E of the curve. Now. Fig. 96. in problems of this character it generally happens that theaiixiUary planes run off the paper, as, for example, V, making itimpossible to find points common to the V traces, as m and avoid the difficulty which arises the following method offinding the intersections of S with the cutting plane is convenient. CONICAL SURFACES 121 Since the auxiliary planes all pass through the apex of thecone and are perpendicular to H, they will have a line in com-mon which passes through Q perpendicular to H. Now thisline pierces the given plane S in a point which is common to Sand all the auxihary planes. This point, therefore, is commonto all the lines cut from S by the auxiliary planes. Through thispoint and the intersections of the H traces lines of intersectionbetween the planes may be drawn without using the V point in the given case is 0. To find it assume a point 0in the plane S, having its plan view at q (Article 26). Since theline common to all the auxiliary planes
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