126 



properties, imparts to it further generality. He finds 1536 magic 

 circles with his own additional improvement here implied; 7680 of 

 Dr. Franklin's limited construction; and finally 55296 magic circles, 

 with further limitation, including, however, the chief property of the 

 sixteen radii, and all the properties assigned to the twenty-eight prin- 

 cipal and secondary rings of the magic circle. 



The principles on which are founded the preceding results, the 

 author judges of moment in respect to the magical combination of 

 numbers; and mentions, as an instance, their immediate application 

 to the extensive series of 256 numbers 1, 2, 3 — 256, first magically 

 combined by Dr. Franklin, and afterwards by Mr. Dalby, professor 

 in the Royal Military College, as cited by Dr. Hutton. For the 

 purpose of comparison and remark on this subject, a new perfect 

 magic square is given. It embraces the preceding series, and is ca- 

 pable of being made the basis of an enlarged magic cyclovolute. A 

 corresponding arrangement is alluded to in case of a generalized 

 magic circle, the number and varieties of which, as well as those of 

 a magic cyclovolute, however extensive, the author conceives to be 

 within the design and general scope of his solution. 



Mr. Walker, from the Committee on the Solar Eclipse ap- 

 pointed at the last meeting, reported progress, and stated, that 

 he had received letters from Professor Pierce of Harvard Uni- 

 versity, Professor Loomis of the New York University, and 

 Professor Barnard of the University of Alabama, containing 

 the observations on the eclipse made by those gentlemen. 



A paper, containing Tables of the Moon's rising and setting, 

 by Mr. Dudley Leavitt, was read by the Secretary, and refer- 

 red to a Committee, consisting of Mr. Walker, Dr. Patterson, 

 and Professor Kendall. 



Mr. Justice stated, that glasses of immense magnitude for 

 telescopes were now fabricated at Paris, — a circumstance on 

 which doubt had existed in the minds of members when it was 

 first mentioned at the meeting of the Society of the sixteenth 

 of August. He also referred to interesting observations on 

 the Moon's surface, made with the telescope of Lord Rosse, 

 and with the refractor at the High School observatory of this 

 city; — the latter distinctly exhibiting the same appearances as 

 had been observed with the former. 



A communication was read from Mr. J. P. B. Maxwell, 



