OF THE MAGIC CYCLOVOLUTE. 



23 



His method "ives but one form: mine will lead without difficulty to every form of which 

 the arrangement is susceptible ; and should it be made the basis of an increased magic 

 cyclovolute, we might determine its varieties. The remark here made applies to the 

 square of Dr. Franklin. A number of similar and generalized forms may be obtained by 

 imitating the elementary squares, (d), (if), ccc. 



This supplemental^- note has extension adequate to every purpose intended. It em- 

 braces the essential principles on which depend the construction of the magic cyclovolute, 

 and that of the magic circle; and, in the way of generalization, exhibits no unfavourable 

 instance of contrast. Although the author has long regarded it as a necessary appendage 

 to his paper; and as possessing some novel interest on a curious subject; he has perhaps 

 been rather too indifferent as to the advantages usually attributed to an early publication. 



Fundamental ar ran "emails for varieties of the Magic Cyclovolute. 



FIRST CLASS. 



A' 



B' 



(.7/?) 



(*•*) 



(•«'*') 



(BW) 



(,ur) 



(fl\7) 



(,TB) 



1U 



