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Anonymous

"Watch and Clock Escapements A Complete Study in Theory and Practice of the Lever, Cylinder and Chronometer Escapements, Together with a Brief Account of the Origin and Evolution of the Escapement in Horology"

For delineating the curved impulse faces of the
escape-wheel teeth we draw from the point _e_ and at right angles to the
line _b g_ the line _e o_. We next take in our dividers the radius of
the arc _k_, and setting one leg at either of the points _b_ or _n_,
establish with the other leg the point _p'_ on the line _e o_, and from
the point _p'_ as a center we sweep the arc _b v n_, which defines the
curve of the impulse faces of the teeth. From _A_ as a center through
the point _p'_ we sweep the arc _p_, and in all instances where we
desire to delineate the curved face of a tooth we locate either the
position of the point or the heel of such tooth, and setting one leg of
our dividers at such point, the other leg resting on the arc _p_, we
establish the center from which to sweep the arc defining the face of
said tooth.

ADVANTAGES GAINED IN SHAPING.
The reason for giving a curved form to the impulse face of the teeth of
cylinder escape wheels are somewhat intricate, and the problem involves
several factors.


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