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 46
When the tracing point is any ordinarypoint on the roller, the curve traced will be atright angles to the pitch curve, but when itis the pole of a spiral it may cross at anangle. Fig. 22. Although rolled curves and odontoids areidentical, they cannot readily be consideredthe same, for the cycloid… … Holled segment Rolled curve The involute can be formed by rolling athe curvature of the pitch line 0 K, they are logarithmic spiral on the pitch line, but that the same for the same arc 0 K on all curves,and therefore all odontoids traced on thesame side of any number of different pitch-curves by…
Gearing
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