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driving belt, as before. The fastest speed with the back-gears in mesh is somewhat slower than the slowest speed when driving direct or with the back-gears out of mesh; hence, with this particular lathe, a series of ten gradually increasing speeds is obtained. Changes of feed for the turning tool are also required, and these are obtained by shifting the belt operating on pulleys _p_ and _p_{1}_ to different-sized steps. On some lathes these feed changes are obtained through gears which can be shifted to give different ratios. Many lathes also have gears in the headstock for changing the speeds. [Illustration: Fig. 4. Rear View of Lathe Apron] Front and rear views of the carriage apron, which contains the feeding mechanism, are shown in Figs. 3 and 4, to indicate how the feeds are engaged and reversed. The feed-rod _R_ (Fig. 1) drives the small bevel gears _A_ and _A_{1}_ (Figs. 3 and 4), which are mounted on a slide _S_ that can be moved by lever _r_ to bring either bevel gear into mesh with gear _B_. Gear _B_ is attached to pinion _b_ (see Fig. 3) meshing with gear _C_, which, when knob _k_ (Fig. 1) is tightened, is locked by a friction clutch to pinion _c_. The latter pinion drives gear _D_ which rotates shaft _E_. A pinion cut on the end of shaft _E_ engages rack _K_ (Fig. 1) attached to the bed, so that the rotation of _E_ (which is controlled by knob _k_) moves the carriage along the bed. To reverse the direction of the movement, it is only necessary to throw gear _A_ into mesh and gear _A_{1}_ out, or _vice versa_, by operating lever _r_. When the carriage is traversed by hand, shaft _E_ and gear _D_ are rotated by pinion _d_{1}_ connected with handle _d_ (Fig. 1). The drive for the cross-feed is from gear _C_ to gear _F_ which can be engaged through a friction clutch (operated by knob _l_, Fig. 1) with gear _G_ meshing with a pinion _H_. The latter rotates the cross-feed screw, which passes through a nut attached to slide _D_ (Fig. 1), thus moving the latter at right angles to the ways of the bed. The cross-feed is also reversed by means of lever _r_. As previously explained, lead-screw _S_ is only used for feeding the carriage when cutting threads. The carriage is engaged with this screw by means of two half-nuts _N_ (Fig. 4) that are free to slide vertically and are closed around the screw by operating lever _u_. These half-nuts can only be closed when lever _r_ is in a central or neutral position, so that
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