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Henry Bushby Transcription Pages

VM533B94v6_265.jpg

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265
(v.) Any series, Kn, will show in
all the diagrams of knots belonging
to it, n parts lying around the
centre of a circle, n being a
positive integer.
(vi) These diagrams are the same
in any series Kn as in the
Plait series (ii. ad fin) Sn, except
that the crossings are governed
by different rules. Thus the forms
in the series K3 correspond, knot
for knot, with those in S3 (ii.)
(vii) It follows that the crossings
are the same in number, knot
for knot, in the two groups, S &
K.
(viii) The arcs in K equal the bights
of the corresponding knot in S,
and just as a knot in S can

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