from being performed too soon when the lead is great; but in all cases
there is far less lap on the eduction than on the steam side, very often
there is none, and sometimes less than none, so that the valve is incapable
of covering both the ports at once.

189. _Q._--What is the usual proportional length of stroke of the valve?

_A._--The common stroke of the valve in rotative engines is twice the
breadth or depth of the port, and the length of the valve face will then be
just the breadth of the port when there is lap on neither the steam nor
eduction side. Whatever lap is given, therefore, makes the valve face just
so much longer. In some engines, however, the stroke of the valve is a good
deal more than twice the breadth of the port; and it is to the stroke of
the valve that the amount of lap should properly be referred.

190. _Q._--Can you tell what amount of lap will accomplish any given amount
of expansion?

_A._--Yes, when the stroke of the valve is known. From the length of the
stroke of the piston subtract that part of the stroke which is intended to
be accomplished before the steam is cut off; divide the remainder by the
length of the stroke of the piston, and extract the square root of the
quotient, which multiply by half the stroke of the valve, and from the
product take half the lead; the remainder will be the lap required.

191. _Q._--Can you state how we may discover at what point of the stroke
the eduction passage will be closed?

_A._--To find how much before the end of the stroke the eduction passage
will be closed:--to the lap on the steam side add the lead, and divide the