TWENTY-STXTH ANNUAL MEETING. 



55 



4th Arr. 

 (16 4 7? 

 < S 3 5 2 ; 



No. 19. 



5th Arr. 

 14 6 

 8 5 3 



u 



6th Arr. 

 14 7 6 

 S 5 2 3 



No. 21. 



From the 4th, 5th and 6th arrangements (figs. 30, 31, and 32, respectively,) 48 

 more squares may be constructed, making in all so far 96 harmonic squares. 



Series 2. — Subharmonic Squares. 



In this series the squares add equally, vertically, horizontally, diagonally, and 

 many other ways, but not quite so many as in the first series ; yet they will un- 

 doubtedly give perfect satisfaction. 



In this series of trial arrangements, the lines add 18 each ; the four extremes 

 add 18 ; the four means 18 ; the first four 18 ; and the last four 18. The result- 

 ing squares will be very harmonic, but rather less perfectly so than in series 1, 



F'irst Group. 



{ i 



7th Arr, 

 8 5 4? 

 2 3 6) 



8th Arr. 

 18 5 4 

 6 3 2 7 



9 th Arr. 

 5 1 8 3 6 

 i 7 2 5 



u 



11th Arr. 



(18 2 7? 

 t 6 3 5 4 J 



10th Arr, 

 < 1 8 3 6 ? 

 ) 4 5 2 7 J 



12th Arr. 

 18 2 7? 

 4 5 3 6 J 



No. 27. 



