Appletons' cyclopaedia of applied mechanics: a dictionary of mechanical engineering and the mechanical arts . pin-gearing also furnishes two cases differing materially in appearance. If the innerwheel be the driver, the construction is as shown in Fig. 20S8, the elementary tooth P E being the in-ternal epicycloid generated by rolling the outer pitch-circle upon the inner, and the radius of the pinbeing determined as in Fig. 2085, the lettering corresponding throughout. If the annular wheeldrive, as in Fig. 2089, the face of its elementary tooth is the hypoeycloid generated by rolling thepitch-

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Appletons' cyclopaedia of applied mechanics: a dictionary of mechanical engineering and the mechanical arts . pin-gearing also furnishes two cases differing materially in appearance. If the innerwheel be the driver, the construction is as shown in Fig. 20S8, the elementary tooth P E being the in-ternal epicycloid generated by rolling the outer pitch-circle upon the inner, and the radius of the pinbeing determined as in Fig. 2085, the lettering corresponding throughout. If the annular wheeldrive, as in Fig. 2089, the face of its elementary tooth is the hypoeycloid generated by rolling thepitch-circle of the pinion within that of the outer wheel; and the general construction will be readily GEARING. 11 seen by comparing this figure with the preceding one and with Fig. 2085. If the diameter of theinner wheel be half that of the annular one, the teeth of the latter become radii of the pitch-circleif the pin be a mathematical point; and when it is made of sensible diameter, the derived outlineof each tooth of the annular wheel is a line parallel to its primitive radius. The arc of action may 20S9.. in this case be made so long that three or even two pins are sufficient to drive the outer wheel con-tinuously, the whole combination in the latter case assuming a very curious aspect, as shown in Fig.2090 ; the pins turning in blocks which slide back and forth in the two slots at right angles to eachother, which are the disguised teeth. Spur-Wheek with Involute Teeth.—Next to the cpicycloidal, the form of tooth most extensively