232 



rians rest is the anterior ambulacral side of their body, considered 

 homologically with reference to all other Radiates ; while the side on 

 which Spatangoids rest, is their posterior interambulacral side. 



These are only special cases of the transformation of our general 

 formula. 



Having thus shown that there is a general formula to which all 

 animals built upon the plan of radiation can be reduced, — that this 

 plan of radiation is carried out in a special manner in the three 

 classes of which this type is composed, — that the formulae which I 

 make to represent three different classes are nothing but a different 

 method of carrying out the general formula of radiation, — and that 

 each of these formuliB can be transformed into the other, — we can- 

 not fail to come to the conclusion that these general formulae for the 

 plan of radiation, and for the peculiar manner in which it is carried 

 out in the three classes of Radiata, are formulse which really exist 

 in nature, and not simply representations of any ingenious manner in 

 which long study would enable me to combine them, and are there- 

 fore indications of thought in the plan of their creation. 



The Corresponding Secretary read tlie following letters, 

 viz. : — 



From Maj. Amos Binney, Washington, Sept. 11th, in acknowledg- 

 ment of the vote of the Society communicated to him ; from Mr. 

 Edward Norton, Farmington, Conn., Sept. 10th, and October 12th, 

 concerning a paper which he proj)Osed to offer to the Society ; Mr. 

 C. A. White, Medina, Ohio, Oct. 6th, on a similar subject ; Lyceum 

 of Natural History, New York, Sept. 16th, and Entomological Soci- 

 ety, Philadelphia, Sept. I8th, acknowledging the receipt of the 

 Society's publications. 



Prof. Sanborn Tenney, of Auburndale, and Mr. Francis J. 

 Campbell, of NTewtonville, were elected resident members. 



