Descriptive geometry . 160 DESCRIPTIVE GEOMETRY [XVI, § 145 respectively. Draw crs2 and crs3. The angle between theselines equals the required angle, 6, between the given planes. Additional examples are given in Figs. 242 and 243. Eachof them falls under the general case, but they differ in themethod of finding the line of intersection of the planes. In Fig. 242 the line A passes through the point s„ inwhich HQ, HR, VQ aud VR intersect. A second point is. R is in quadrants I and 3,30° with H Fig. 242. Fig. 243. obtained by means of the auxiliary plane X (Prob. 12, SpecialCase 5, § 118). The se
Descriptive geometry . 160 DESCRIPTIVE GEOMETRY [XVI, § 145 respectively. Draw crs2 and crs3. The angle between theselines equals the required angle, 6, between the given planes. Additional examples are given in Figs. 242 and 243. Eachof them falls under the general case, but they differ in themethod of finding the line of intersection of the planes. In Fig. 242 the line A passes through the point s„ inwhich HQ, HR, VQ aud VR intersect. A second point is. R is in quadrants I and 3,30° with H Fig. 242. Fig. 243. obtained by means of the auxiliary plane X (Prob. 12, SpecialCase 5, § 118). The secondary projection Ax passes throughs1 and the secondary projection of b. Figure 243 is similar to Figure 242 in that the traces HQ, HR,VQ, and VR intersect in a common point s^ A second pointb, in the line of intersection A, is here obtained by means ofthe profile plane P (Prob. 12, Special Case 6, § 118), and thesecondary projection Axv passes through sx and the secondaryprojection, b^, of b. In other respects the constructions ofFigs. 242 and 243 follow that of Fig. 241. Special Case I. The line of intersection of the givenplanes is parallel to H or V Let Q and R, Fig. 244, be thegiven planes, with HQ and HR parallel. Then the line of in-tersection, A, is parallel to H (Prob. 12, Special Case 1,§ 118). Pass the auxiliary plane Z perpendicular to A. Since XVI, § 146] PROBLEMS ON THE LINE AND PLANE 161 A is parallel to H, the plane Z is perp
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