Descriptive geometry for students in engineering science and architecture; a carefully graded course of instruction . Y 1 2. Find the distance of the point A from the plane RST at D. 3. Find the projections of the intersection line in each of the cases at E, F, G and H whereplanes are arranged so as to intersect each other. Work to a large scale. CHAPTER VIIIPARALLEL PLANES Section 16. It needs no demonstration to realize that planes parallel to oneanother will meet the planes of projection in parallel trace lines. In Fig. 56 at (i) two vertical planes are shown, and it is evident that the dis
Descriptive geometry for students in engineering science and architecture; a carefully graded course of instruction . Y 1 2. Find the distance of the point A from the plane RST at D. 3. Find the projections of the intersection line in each of the cases at E, F, G and H whereplanes are arranged so as to intersect each other. Work to a large scale. CHAPTER VIIIPARALLEL PLANES Section 16. It needs no demonstration to realize that planes parallel to oneanother will meet the planes of projection in parallel trace lines. In Fig. 56 at (i) two vertical planes are shown, and it is evident that the dis-tance between these planes is not the distance between their Vertical Traces,which may be, for these planes, a varying distance apart according to the angle. Fic. 56. at which they meet the , but the distance between them is the distance betweentheir Horizontal Traces, because they meet the perpendicularly. In the case at (ii) the distance between the planes is the same as that betweentheir , because in this case the planes meet the perpendicularly. At (iii) the parallel planes are oblique, and the method of Imding the distancebetween them is to start a jcrpendicular line from som£_4iiiLnt in one of them,say, PQZ. and find where it intersects the other plane RST, then fmd the lengthof the line from one to the other. To do this, take any point in the of theplane PQZ, as at aa, and from it set up a perpendicular, marked with arrow-headsin the figure. Now consider this line to be in a vertical plane , and find the 52 DESCRIPTIVE GEOMETRY intersection of LMN with RST, giving a line whose elevation is VH and whichcontains point P shown at pp. Find the true length of AP at ap2 This is thedistance between the two gi
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