A handbook on the teeth of gears, their curves, properties, and practical construction (1887)
Grant, George B. (George Barnard), 1849-1917 · [Boston] · leaf 51
that is acurious combination of polar spirals that canbe discussed only by the use of the highermathematics. The properties of the odontoid can gen-erally be more easily developed and clearlyexplained if it is considered as a special caseof the enveloping curve, than if it is treatedas a rolled… … The Segmental System.—If a circular arcbe drawn from a center A, Fig. !?4, on a lineat an angle, E 0 A^ with a rack pitch line,0 F, its normals P Kio the pitch line, willsatisfy the law of the odontoid, and the seg-ment 0 D F will be a rack tooth that willform an interchangeable or conjugate set…
Gearing
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