Practical engineering drawing and third angle projection, for students in scientific, technical and manual training schools and for ..draughtsmen .. . )ectionthat the edge clearedthe other solid entirely,^>„ as is the case with s h,,,-- / sh, in the present in-stance. By using shas an auxiliary planethe student will get agraphic proof of failureto intersect. (b) Auxiliary planevertical. This case isillustrated by using v g as the trace of an auxiliarj vertical plane containing the edge vg,r(/. Thinking this edge maypossibly meet the face sba we proceed to test it on that assumi^tion. The pl
Practical engineering drawing and third angle projection, for students in scientific, technical and manual training schools and for ..draughtsmen .. . )ectionthat the edge clearedthe other solid entirely,^>„ as is the case with s h,,,-- / sh, in the present in-stance. By using shas an auxiliary planethe student will get agraphic proof of failureto intersect. (b) Auxiliary planevertical. This case isillustrated by using v g as the trace of an auxiliarj vertical plane containing the edge vg,r(/. Thinking this edge maypossibly meet the face sba we proceed to test it on that assumi^tion. The plane vg crosses »a at I, and sb at p; these project to / on sa and to p on »b;then pl meets vg at </, which is a real instead of an imaginary intersection since it lies betweenthe actual limits of the face considered. From q a vertical to vg gives q. The order of obtaining the points. The start may be with any edge, but once under way theprogress should be uniform, and each point joined with the jDreceding as soon as obtained. Thus,supposing that q was the point first found, a look at the i^lan would show that the edge sa of. THE IXTERSECTIOX OF SIXdLE CURVED SURFACED. 163 the oblique pyramid would be reached before vh on the other, and the next auxiliary plane -n-ouldtherefore be passed through •:<« to find u u; then would come vh and -s r/. Running clown fromm on the face * f/ r we find the positions such that insj^ection ^^?ill not axail. and the only thing todo is to try. at random, either a plane through c /; or one through -s- *?; and so on for theremaining points. The dcvrkipmcnU. No figure is furnished for these, nearly all tliat the student requires forolitaining them has been set furtli in Art. 396, Case 6. The only additinnal points to which attentionneed lie called are the cases where the intersection falls on a fan instead of an edge. Forexample, in developing the mi leal pyramid we would find the develoi:)ment of j by drawing vj,prolonging it to o,
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