32 The Rev. Thos. P. Kirkman on 



derivates of G (l have become G 2S(Z and the 59 different 

 derivates of G^. We write our 2 over the 60 rectangles, and 

 (B^;, is complete before our eyes, with G.^ d not first but 47th. 



The reader easily sees that in dictating to his own or to 

 another ear for penning, he could, without displacing rows, 

 so pronounce the first substitution of every rectangle of 

 our paradigm, that after completion, under the so deranged 

 elements of these penned first substitutions of the vertical 

 rows headed by them in the paradigm, and after writing 

 our 2 unpermuted over all, Oto'a would be correctly written 

 down, with G 2 5,; as 47th rectangle. The 60 deranged first 

 substitutions have secured the position of every vertical row 

 of all the values under the proper index in 2, and every 

 product of each value is correct. 



Or, simpler still, for dictation by a little girl. The 

 reader, instead of disturbing the vertical rows of the values, 

 in order to place each under the right index in 2, could 

 over all the rectangles by one rule, so permute the indices 

 as to place the right one over every fixed vertical row. No 

 product in Gto'j would be altered by thus deranging indices 

 instead of vertical rows. 



In fact, this </> _1 names aloud, by place, the vertical rows 

 of every rectangle of the paradigm, over which you are to 

 write the first, second, third, &c, indices of the 2 that makes 

 GJ" into (3,!'", in order to turn that rectangle, as it stands, 

 into a value of Q.^a under that unaltered 2. Was ever the 

 reader's faith so tried before ? I hope they won't burn me 

 for a witch ! 



I have the right, and I beg permission here, to say, as a 

 very old clergyman under solemn ordination-vows, that the 

 real conjuring, which I am here doing, beats into fits that 

 ancient altar-conjuring which the clever craftsmen of my 

 cloth are now so triumphantly restoring. This conjuring 

 of mine will be both sacred and celebrated, when their 

 celebrations are all again historical rubbish. 



