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
from the tracing point Pto the point of contact K^ is always rotating,for the instant, about ^ as a center, thecurve 0 P will always be at right angles to itat P, and it is, therefore, always a normal tothe curve. As each one of the normals isseparate from the preceding and following,and the normal… … 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…
Gearing
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