Descriptive geometry . e previous the horizontal projecting plane X of lineA (Art. 8, page 7), intersecting plane iV inline 0 (Art. 50, page 35). Lines A and C in-tersect in point c?, the required point of pierc-ing of line A and plane A^. Fig. 99 is the solution of the same problemby the use of plane Y, the vertical projectingplane of line A. 60. Case 3. When the given line is parallelto P, thus necessitating the use of an auxiliaryprofile plane containing the line. Construction. Fig. 100. Let A be thegiven plane and line ab, parallel to P, the givenline. Pass an auxiliary profile
Descriptive geometry . e previous the horizontal projecting plane X of lineA (Art. 8, page 7), intersecting plane iV inline 0 (Art. 50, page 35). Lines A and C in-tersect in point c?, the required point of pierc-ing of line A and plane A^. Fig. 99 is the solution of the same problemby the use of plane Y, the vertical projectingplane of line A. 60. Case 3. When the given line is parallelto P, thus necessitating the use of an auxiliaryprofile plane containing the line. Construction. Fig. 100. Let A be thegiven plane and line ab, parallel to P, the givenline. Pass an auxiliary profile plane P throughthe given line ab^ intersecting plane A in the PIERCING OF THE LINE AND PLANE 43 line C, having C^ for its profile projection profile projection of the required point of (Art. 54, page 38). Also determine a^h^, the piercing of line ah and plane N. The vertical profile projection of the given line ( 21, and horizontal projections of this point are page 14). C^ and a^h^ intersect in dp, the d and d^.. Fip-. 97.
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