to it two different movements, one along the longer axis of the ellipse,
traveled by the point, A, and one through its minor axis up and down,
these movements differing as to time, and corresponding with the part of
the movement of the valve required for lap and lead, and that part
constituting the port opening for admission of steam.

[Illustration: JOY'S REVERSING AND EXPANDING VALVE GEAR.]

The former of these is constant and unalterable, the latter is
controllable by the angle at which the curved slide, J, may be set with
the vertical.

It will further be evident that if the lever, E, were pinned direct to
the connecting rod at the point, A, which passes through a practically
true ellipse, it would vibrate its fulcrum, F, unequally on either side of
the center of the curved slide, J, by the amount of the versed sine of the
arc of the lever, E, from F D; it is to correct this error that the lever,
E, is pinned at the point, D, to a parallel motion formed by the parts, B
and C. The point, D, performing a figure which is equal to an ellipse,
with the error to be eliminated added, so neutralizing its effect on the
motion of the fulcrum, F.

The "lap" and "lead" are opened by the action of the valve lever acting as
a lever, and the port opening is given by the incline of the curved slide
in which the center of that lever slides, and the amount of this opening
depends upon the angle given to that incline. When these two actions are
in unison, the motion of the valve is very rapid, and this occurs when the
steam is being admitted. Then follows a period of opposition of these
motions, during which time the valve pauses momentarily, this
corresponding to the time when the port is fully open. Further periods of