Elements of Machine Construction And Drawing Or Machine Drawing With Some Ele

Cover Elements of Machine Construction And Drawing Or Machine Drawing With Some Ele
Elements of Machine Construction And Drawing Or Machine Drawing With Some Ele
S Edward Samuel Edward Warren
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XXYL, Fig.. 5, be placed in the paper at d'd", Fig. 6. Then make d'a=d'A = the arc da. Or 6?A, Fig. 5, and let it be similarly divided on both MACHINE CONSTRUCTION AND DRAWING. 229 figures. D'c-=dc in Fig. 5, Af=Af, etc. Then make vertical lines at those points, and project g', Fig. 5, on Ag, at , Fig. F> ; y, Fig. 5, on Jp, Fig. 6, and so on, and the curve, ag, will be the development of the expanding helix ag a'g'.
In like manner are found qdt, the development of gt q'D't' ; AG, the developme
...nt of AG A'G', and LZ, the development of L L7' in Fig. 5. The two latter helices, being on the back half of the cylinder, d'd" represents, for them, the vertical ele- ment at D, each way from which the cylinder is developed into the paper.
PROBLEM XXII.
To make the projections of a helicoid of radially expanding pitch.
PI. XXVL, Fig. T, where, for convenience, the plan is over the elevation. Here the pitch is proportional to the distance from the axis, O O'O" and the initial position of the genera- trix is OA O'A', which after a helical semi-revolution, comes to the position OC B'C', (176) where B', on CB', happens to co- incide with B' as the vertical projection of B, a point in front of the axis, on the outermost helix.


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