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Henry Bushby Transcription Pages

VM533B94v2-p267.jpg

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267
it follows that, given C, the possible
values of [?] are to be found by adding
1 to the possible factors various measures of C from
1 to C. For example : C = 24. In what
series may such a ^[regular] knot occurs?
Possible Factors<or</s>Measures of 24 are : 1,2,3,4,6,8,12,24.
Values of [?] are 2,3,4,5,7,9,13,25.
and no others.
We know by x that S25 is a twist
knot, and as we now have have ascertained C& [?],
ascertained we can define the [regular]knots
with 24 crossings as S2 24B,/u> [over] 24C, S3 <u>12B [over] 24C,
S4 8B [over] 24C, S5 6B [over] 24C [?] of which the
last three are represented on pp237, 241,
& 246.
(xiv) A [?]regular knot, if on more than
one cord, is on a no. of cords [symbol equal to the
G.C.H. of the series index ([?symbol] & the no. of
[fights?], B. Where there is no G.C.H., i.e. where
[?symbol] & B are prime to one another, the knot is

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