Generally, circular arc profile gears are mainly used in wristwatches, because of their very small size and that minimun number of teeth of pinion is 6 sometimes, but we have not been able to standardize the excelent cutter of gears. Recently, involute curve is being used gradually for gear profile of wristwatch and small machine gearing. In this case, its production is formed by milling cutting (shaping) methcds, but not generated in our company, so we have had to simulate involute cueve with circular-arc. We had establised 2 arcs simulation for involute curve according to the past records. However, cycloid profile gear is useful for a few teeth gear. Therefore, if gearing is requsted to be miniaturized in the future, it seems that cycloid is more imporfant than involute. In this case, we must replace cycloid curve by a few circular arc. In this paper, we clarified 3-arcs simulation for cycloid curve with very small error. For example, simulation errors are ±0.3[μm] in case pitch circle radius (c.r.)= 0.6, rolling c.r.= 0.5, outside radius (r.) = 0.8[mm]; ±0.5[μm] in case pitch c.r. = 0.6, rolling c.r.= 0.5, outside r.= 0.9[mm]; and ±1[μm] in case pitch c.r.= 0.6, rolling c.r.= 0.3, outside r.= 0.9[mm].
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