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A handbook on the teeth of gears, their curves, properties, and practical construction (1890)

Grant, George B. (George Barnard), 1849-1917 · Lexington, Mass., Lexington Gear Works · leaf 51

An illustration from A handbook on the teeth of gears, their curves, properties, and practical construction, 1890, leaf 51
f t=12, and sin. F=.25, we have a=f, sothat the common involute, Fig. 28, is limitedto the addendum «^=f, and the additionalbc=^ of the full addendum must be cut off orgot out of the way by rounding off as muchof it as would interfere with a twelve-toothpinion. This additional five-eighths is not… … pitchline <* Action ofCorrected Involute Tooth The only true correction, the only devicethat will allow of a full addendum of unity,retain the true involute for any part of it, andpermit a rack to run in a pinion of less thanthirty-two teeth, would be to correct the racktooth by rounding over…

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