Proceedings of the Albany Institute. 275 



and 2, and from this data we can compute the squares 

 of all numbers up to 30 millions. In the same manner, by 

 giving the machine the numbers 1, 7, 6, 6, we can pro- 

 duce a table of cubes, the limit being 15 figures. 



The same principles apply in the computations of Logar- 

 ithyms, or any series of numbers whatever. 



Prof. Hough closed by giving an invitation to the mem- 

 bers of the Institute to call and examine the machine, which 

 is now in operation at the Dudley Observatory, and ex- 

 hibited specimens of its work printed on both paper and 

 plates of lead. 



Dr. S. D. Willard read a brief biographical notice of 

 Dr. Elias Willard, a former member of the Institute. 



Elias Willard was born in Harvard, Mass., on the 17th 

 of January, 1756. He was present at the battle of Bunker 

 Hill, and served duriug the war of the revolution, either as 

 regimental or hospital surgeon; subsequently, he settled 

 in Saratoga county, and in 1801 in Albany, where he died 

 March 20, 1827, at the age of seventy-one years. He was 

 a man of marked piety and patriotism. 



Dr. "Willard also read a biographical notice of Dr. Lewis 

 C. Beck, contributed for his work by Mrs. Pierre Van 

 Cortlandt, the surviving daughter of Dr. T. Romeyn 

 Beck. 



Lewis C. Beck was the youngest brother of Drs. T. Ro- 

 meyn Beck and John C. Beck, and was born in Schenec- 

 tady, October 4, 1798. He was largely instrumental, with 

 his brother, in the organization of the Albany Institute, 

 in the transactions of which are several of his valuable 

 papers. He filled professorships in several colleges, the 

 last being at Rutgers College, New Jersey, and the Al- 

 bany Medical College. He was the author of several 

 medical works, and of many scientific articles ; an inclus- 



