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## Henry Bushby Transcription pages

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21.__Examination of I. K. of 6C.__

There is no r. k. on one cord of 6 C ex-

cept the Twist, because the factors of

6 are 1, 2, 3 & 6 giving __n__ as 2, 3,4 & 7,

all of which except 7, the twist, have

measures in common with 6. (the same

applies to knots of 1 & 2 C.)

It is known that a ~~[i?]~~ k. of

T. H. form corresponds to every no. of C.

of 3 & upwards (that of 3 being a~~n~~.

r. k. S_{2} ^{3b}/_{3c} & that of 4 being S_{3} ^{2b}/_{4c})

Hence there is a T. H. of 6 C. Further

the Granny, the Reef & the Weaver

(or Bowline, or Crossed Running Knot)

are other knots of 6 C. on one cord. __Tait__

says there are only 4 such knots.

Problem: To derive these 4 ks. From

r. ks. of 6 C.

From S_{2} ^{6b}/_{6c} the Reef is obtained

by joining 2,4; 1,3; 5,6; 12,7. In the

form of 2 dissimilar overhands on

and endless cord. From do. the Granny