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Henry Bushby Transcription pages

VM533B94v4-p045.jpg

Revision as of May 29, 2014, 10:11:07 AM
created by DPepper
Revision as of May 29, 2014, 10:13:06 AM
edited by DPepper
Line 1: Line 1:
45<br>an r.k.without obliterating<br>2c.<br>Of course this plait could be <br>obtained directly from S<sub>3</sub> <sup>4b</sup>/<sub>8c</sub> thus :-<br>Here on a 1z k. 2 adjacent bights<br>have been cut & the alternate parts<br>x & 2, 1 & 3, joined without alternate<br>crossings, producing an i.k. of<br>c – 1 crossings = 7 on 1z.<br>Therefore among knots of 7c are<br>S<sub>2 </sub> <sup>7c</sup>/<sub>7c</sub>,  the T.H; & this i.k. plait.<br>Presumably every 1z. k in S<sub>3</sub><br>could be similarly made to produce<br>an i.k. on 1z. with 1c. less than<br>the number. (S<sub>3</sub> <sup>5b</sup>/<sub>10c</sub> & S<sub>3</sub> <sup>7b</sup>/<sub>14c</sub>can.)<br>
+
45<br>an r.k.without obliterating<br>2c.<br>Of course this plait could be <br>obtained directly from S<sub>3</sub> <sup>4b</sup>/<sub>8c</sub> thus :-<br>Here on a 1z k. 2 adjacent bights<br>have been cut & the alternate parts<br>x & 2, 1 & 3, joined without alternate<br>crossings, producing an i.k. of<br>c – 1 crossings = 7 on 1z.<br>Therefore among knots of 7c are<br>S<sub>2 </sub> <sup>7b</sup>/<sub>7c</sub>,  the T.H; & this i.k. plait.<br>Presumably every 1z. k in S<sub>3</sub><br>could be similarly made to produce<br>an i.k. on 1z. with 1c. less than<br>the number. (S<sub>3</sub> <sup>5b</sup>/<sub>10c</sub> & S<sub>3</sub> <sup>7b</sup>/<sub>14c</sub> can.)<br>

Revision as of May 29, 2014, 10:13:06 AM

45
an r.k.without obliterating
2c.
Of course this plait could be
obtained directly from S3 4b/8c thus :-
Here on a 1z k. 2 adjacent bights
have been cut & the alternate parts
x & 2, 1 & 3, joined without alternate
crossings, producing an i.k. of
c – 1 crossings = 7 on 1z.
Therefore among knots of 7c are
S2 7b/7c, the T.H; & this i.k. plait.
Presumably every 1z. k in S3
could be similarly made to produce
an i.k. on 1z. with 1c. less than
the number. (S3 5b/10c & S3 7b/14c can.)