Descriptive geometry . Fig. 234. Fig. 235. ahbh. Further explanation of the construction is omitted,since, for the line in question, the solution is of doubtful ad-vantage as compared with the general solution. If, however, the given line is a profile line, the simplest solu-tion is obtained by the use of an additional projection. Special Case II. The given line lies in a profile ab, Fig. 235, be the given line, and c the given point. Findthe profile projection, apbp, of the line ab. Project c on to P,and find the profile projection cp. From cp draw, perpendicu-lar to apbp, the profi
Descriptive geometry . Fig. 234. Fig. 235. ahbh. Further explanation of the construction is omitted,since, for the line in question, the solution is of doubtful ad-vantage as compared with the general solution. If, however, the given line is a profile line, the simplest solu-tion is obtained by the use of an additional projection. Special Case II. The given line lies in a profile ab, Fig. 235, be the given line, and c the given point. Findthe profile projection, apbp, of the line ab. Project c on to P,and find the profile projection cp. From cp draw, perpendicu-lar to apbp, the profile projection, cpdp, of the required perpen-dicular. From eZpfind the projections d and dh; then c*dA andcvdv are the required projections. The true length of cd (, § 80) is the required shortest distance. XVI, § 144] PROBLEMS ON THE LINE AND PLANE 155 144. Distance between Two Lines. If two lines are not in thesame plane, that is, neither intersect nor are parallel, there isbut one line that is perpendicular t
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