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231

which the middle ones are unlaid
for purposes of knotting will have to
be replaced by equivalent turns of the
former in addition to the four turns
allowed to the long strands for knotting
and the four turns allowed for lengthen-
ing. Therefore the long strands will
require to be unlaid 8 turns + the no.
of ^axial turns equivalent to x - in this case
12 turns in all. Hence the points B
& C are determined. Therefore cut 1 at
B & unlay it to d & cut 2 at C &
unlay it to e. ^(fig 2.) (The right hand portions
of the strands 1, 2, 3 are referred to as
i, ii, iii respectively.) Now cut 3 at A,
and without unlaying it, draw the two
portions of the rope apart so that 3
& iii are divided by the width of 11
strands as in fig 3. If a piece of rope
of the same size as that being treated
is cut to correspond to x and is interposed
in the space shaded in fig 3 it will be