245 



Annual Meeting, April 29th, 1862. 



J. P. JouLE^ LL.D., F.R.S.j President, in the Chair. 



Mr. Andrew Knowles was elected an Ordinary Member of 

 the Society. 



A Paper was read " On Non-Modular Groups," by the Rev. 

 T. P. KiRKMAN, A.M., F.R.S., and Hon. Mem. of the Literary 

 and Philosoj)hical Societies of Manchester and Liverpool. 



From the seven triads which exhaust the duads of seven 

 elements, 157 261 372 413 524 ^^h 746, we can write 

 twenty-one triads containing each a capital and two small 

 figures, thus : — 



157 571 715 261 612 126 372 723 237, &c. 



We can collect the triplets of these triads which contain the 

 same small letter, thus, the order of two small figures being 

 indifferent : — 



EllRATUM. 



Page 245, line 6 from bottom, for "every vertical" read 

 " everv first vertical." 



^.>^ v»vy« «"-! **ii AO-x ^it JL^O iSiO J.:iO S(5iO 



413 143 134 524 314 254 536 356 356 536 



where every triad and every vertical row containing three 

 figures is one of the seven fundamental triads. We have thus 

 formed twenty-eight triplets of triads, and have exhausted 

 3'7-4 of the 21*10 couplets possible with the 21 triads, 157, 

 571, &c. 



PaooEBDiNGS— Lit. & Pjijl. Society— No. 16.— Session 1861—62. 



