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Henry Bushby Transcription pages

VM533B94v4-p187.jpg

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see 1X.244. 187

Possibilities
Crossings may be represented as + for
over & - for under.
With y crossings there are 2y possi-
bilities. Thus with knot of 2
crossings there are 2 2 possibilities;
with3=y, 2 3; with 4=y, 2 4; &
so on, and this is true of every
[I n?]. Tables may be written out, e.g.
y=2 y=3 It will be
++ +++ observed in these
+- ++- tables, that
-+ +-+ taken in down-
[Reverse?] -- +-- ward columns
-++ in col i, the first
-+- half are + &
--+ The second half
[Reverse?] --- - ; in col ii the
first quarter are
+ & every succeeding alternate quarter are
-; in col iii, alternate eighths are +

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