edge OO,
with the circle G H, and is shown through AC2, which intersects these
circles at that point. In the case of the disengaging pallet, PP
illustrates the path of the discharging edge; the loss is measured as in
the preceding case where GH is intersected as shown by AD2. It amounts
to a different value on each pallet. Notice the loss between C and C2,
on the engaging, and D and D2 on the disengaging pallet; it is greater
on the engaging pallet, so much so that it amounts to 2deg., which is
equal to the entire lock; therefore if 8 1/2deg. of work is to be
accomplished through this pallet, the lifting plane requires an angle of
10 1/2deg. struck from AC.

Let us now consider the lifting action of the club tooth wheel. This is
decidedly a complicated action, and requires some study to comprehend.
In action with the engaging pallet the wheel moves _up_, or in the
direction of the motion of the pallets, but on the disengaging pallet it
moves _down_, and in a direction opposite to the pallets, and the heel
of the tooth moves with greater velocity than the locking edge; also in
the case of the engaging pallet, the locking edge moves with greater
velocity than the discharging edge; in the disengaging pallet the
opposite is the case, as the discharging edge moves with greater
velocity than the locking. These points involve factors which must be
considered, and the drafting of a correct action is of paramount
importance; we therefore show the lift as it is accomplished in four
different stages in a good action. Fig. 9 illustrates the engaging, and
Fig. 10 the disengaging pallet; by comparing the figures it will be
noticed that the lift takes place on the point of the tooth similar to
the English, until the discharging edge of the pallet has been passed,
when the heel gradually comes into play on the engaging, but more
quickly on the disengaging pallet.

We will also notice that during the first part of the lift the tooth
moves faster along the engaging lifting plane than on the disengaging;
on pallets 2 and 3 this difference is quite large; towards the latter
part of the lift the action becomes quicker on the disengaging pallet
and slower on the engaging.

To obviate this difficulty some fine watches, notably those of A. Lange
& Sons, have convex lifting planes on the engaging and concave on the
disengaging pallets; the lifting planes on the teeth are also curved.
See Fig. 11. This is decidedly an ingenious arrangement, a