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Henry Bushby Transcription Pages

VM533B94v6_003.jpg

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3
a second, third, fourth &c. time
after the overhand half knot has
been formed. Since the overhand half
knot has 3 crossings and 2 crossings
are added each time an end is put
through, a knot of the manifold
type with 5 crossings is a 2 - fold,
of 7 crossings a 3 - fold, of 9 crossings
a 4 - fold, and of n crossings an
(n-1/2 ) fold knot.
In mathematical treatises some
writers (e.g. Prof. Tait) [  ?] speak of
any knot of n crossings as an
n - fold knot, but this use of the
term is not employed by the present
writer.
Manifold Knots may be made ^with or against the lay as in the case of the
overhand, and in either case
in
2 different forms in addition to
the half knot form shown on p 1.
fig. 1. The first of these forms is
called by the writer the Quiper
form for a reason mentioned below
39893

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