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53

On Pricking Touches and Peals by the Lmd-ends.

a linę underneath to show that this, the position of rounds, is fchat from which the changes are to start. Underthis 1234 write down the first treblc lead-end of Bob Singles, 1 3 4 ² which must be obtained by pricking the lead in fuli; this lead-end is 1342. Now it will be seen that ihe second beli has moved from its original position in second’s place into fourth's place, that the third has come into secontTs place, and the fourth into third’s place. Now it is evident that if another lead be prtcked, in which the changes are produced exactly in the same way, the same caitse that took the second beli inlofourth’s will now rnove the third beli into fourth’s place, and so on witli the other balls. If the alterations between the positions of the helis in rounds and at the first treble lead-end be examined, it will be seen that, to ohtain the next lead-end, the helis in third\s and fourth’s places must be moved into second¹ s and third’s, and thc beli in second’s into fourth’s place.

As, in pricking by the lead-ends, the treble will always be at the lead, it is unnecessary to write it down each time. It must, however, he remembercd that the first of the helis pricked will therefore be the beli in second’s place at the lead-end.

The way I commence to prick changes by the lcad-ends is by taking the first Jead-end and writing it down helów rounds. I then say to myself “3 4 2 ^M; now when I say “ 3 " 1 look at the beli in lhird’s place and write it down in second's place to 234 make the next lead-end; in this case I therefore move the 3 4 _£ fourth into second’s place. I then say “4,” and look al 423 the beli in fourlh's place (the second) and move it into 234 third's place, and then, saying “2,” move the beli (the third) into fourth's place. In this way the second lead-end 4 2 3 is found, and if the bells from that lead-end are again transposed in the same way (that is, the same way the first lead-end differs from rounds) the third Jead-end 234 will be thc result.