589 



January 6, 1859. 



Sir BENJAMIN C. BRODIE, Bart., President, in the Chair. 

 The following communications were read : 



I. Letter to Dr. SHARPEY, Sec. R.S., from Dr. THOMAS WIL- 

 LIAMS, F.R.S., dated Swansea, Dec. 12, 1858. 



In my paper entitled " Researches on the Structure and Homology 

 of the Reproductive Organs of the Annelids," lately published in 

 the Philosophical Transactions, the following passage occurs in a 

 note at page 113: "Some of these demonstrations have been 

 recently witnessed by Mr. Busk and Dr. Carpenter." 



Some time after the publication of my paper, I received a letter 

 from Mr. Busk, observing that when taken in connexion with the 

 context, the above allusion to his name and that of Dr. Carpenter 

 might lead to the supposition that they acquiesced in the views 

 which I ventured to advocate in my paper. 



If permitted, I should be glad to state, that although I had shown 

 to Mr. Busk and Dr. Carpenter certain of my dissections, and 

 although I was favoured at the time with what I believed to be 

 their concurrence and approbation, I am most anxious at present to 

 explain that in referring to their names, I had no intention whatever 

 to implicate them in the opinions which I entertained. 

 I remain, &c., 



THOMAS WILLIAMS, M.D., F.R.S. 



II. "A Sixth Memoir on Quanties." By ARTHUR CAYLEY, 

 Esq., F.R.S. Received November 18, 1858. 



(Abstract.) 



I propose in the present memoir to consider the geometrical 

 theory : I have alluded to this part of the subject in the articles 

 Nos. 3 and 4 of the introductory memoir. The present memoir 

 relates to the geometry of one dimension and the geometry of two 

 dimensions corresponding respectively to the analytical theories of 



