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## Henry Bushby Transcription Pages

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268(follows p273.)

(xvii.) Given C & __z__ (a no. of cords greater than

unity) : how many *regular* knots are there with C

on z cords ?

By x & xvi the highest value of __n__ in this

case must be less than C + 1. (indicating a

twist knot on 1 cord.)

By] xiii [?symbol] = 1 + a measure of C

By xiv [?symbol] = G.C.H. of [?symbol] & C

[symbol of therefore] n = any ~~factor~~ *measure* of C *[less than C]* which, increased by 1,

is divisible by [symbol?].

Set out the ~~factor~~measure of C : increase them

by 1

& strike out all not divisible by __z__

Thus let C = 10 & z = 2

Measures of 10 are 1, 2, 5, ~~(10)~~

Augmented by 1, 2, 3, 6, ~~(11)~~~~Strike out 11 ([?-C+1])~~ leaving

2,3,6.

Strike out 3 (not divisible by 2.)

Indices of series are 2,6 & no others.

(see pp 233, 250 for diagrams.)

[This completes the theory of Regular Knots.]