PROCEEDINGS. 
607 
57th Meeting. February 5, 1890. 
The Chairman, Mr. Gore, presided. 
Present, nine members. 
Mr. C. H. Kummell began a communication on The Method 
of Continued Identity in its Application to the Solution of Equa¬ 
tions and Expressing Functions in Highly Convergent Forms. 
Published in full in the Annals of Mathematics, 4to, University 
of Virginia, Va., vol. v, 1890, pp. 85en 98. 
58th Meeting. February 19, 1890. 
The Chairman, Mr. Gore, presided. 
Present, seven members and one guest. 
Mr. C. H. Kummell continued his presentation of the com¬ 
munication begun at the previous meeting. 
59th Meeting. March 19, 1890. 
The Chairman, Mr. Gore, presided. 
Present, sixteen members and guests. 
By invitation Mr. G. N. Saegmuller exhibited the drawings 
of the new telescope now in process of construction for the Cham¬ 
berlain Observatory, at Denver, and explained the novel features 
that he has introduced in its mounting. 
Mr. C. E. Dutton made a communication on Some Remark¬ 
able Transcendental Equations. 
60th Meeting. April 2, 1890. 
Mr. G. W. Hill presided. 
Present, fifteen members. 
Mr. R. S. Woodward made a communication on Some Special 
Laws of the Diffusion of Heat in Homogeneous Spheres, in which 
