This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1883 Excerpt: ...cone.) Ex. 2. Let the cylinder be parallel to the ground line. (Then use an auxiliary plane perpendicular to the ground line.) Ex. 3. Let its axis be parallel to either plane of projection and oblique to the other. Problem LII. To draw a plane, tangent to a cylin der, and parallel to a given line, token the axis of the ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1883 Excerpt: ...cone.) Ex. 2. Let the cylinder be parallel to the ground line. (Then use an auxiliary plane perpendicular to the ground line.) Ex. 3. Let its axis be parallel to either plane of projection and oblique to the other. Problem LII. To draw a plane, tangent to a cylin der, and parallel to a given line, token the axis of the cylinder is a biparaUel. In Space.--A plane either through the axis, and parallel to the given line, or through the given line and parallel to the axis, will be parallel to the required plane. The trace of the latter, on any auxiliary plane, P, will be tangent to the traces of the cylinder (148) on the same plane, and parallel to the trace of the auxiliary parallel plane upon the plane P. In Projection.--PI X., Fig. 88. Let ABG--C'D'G' be the projections of the cylinder, and IiK--IT'K7, those of the given line. P'K'--PIT are the traces of an auxiliary parallel plane containing the given line. PQP; is a profile plane, perpendicular to the axis of the cylinder. Let this plane be revolved about its horizontal trace PQ into the horizontal plane of projection, then the trace of the parallel plane upon it will appear at PP"; and the circle, or trace, ur--pqvill tae ne position of the circle whose centre is c." nNy drawn parallel to P"P, and tangent to this circle c," is the revolved position of the trace of the tangent plane upon PQP'. By making the counter revolution of the plane PQP', the trace riN will take the position ISTN', and will pierce the planes of projection at the points N and W. Hence MJST and M'N' are the traces of the required tangent plane. Examples.--1. Let the axis of the cylinder be oblique to both planes of projection. Ex. 2 Let it be in any other than the first angle, Ex. 3. Let the given line cross thefou?y...
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