PROCEEDINGS. 
409 
562d Meeting. January 31, 1903. 
President Gore in the chair. 
Twenty-four persons present. 
Mr. A. N. Skinner, by invitation, spoke on Progress in the 
zone-observations of the Astronomisclie Gesellschaft. He traced 
the history of star catalogues from the earliest times. The first 
one based on the use of a telescope is due to Flamsteed in 1725. 
The great work of Argelander at Bonn, published in 1860, gave 
the approximate places for all stars visible with a 3-inch tele¬ 
scope from 2° S. to 90° N. declination, comprising 324,198 stars; 
his successor, Schonfeld, extended this to 23° S. declination, 
adding 133,569 stars. The Astronomische Gesellschaft, founded 
in 1865, proposed to determine the places of all stars down to 
the 9th magnitude between 2° S. and 80° N.; the work was 
divided among 15 observatories, and nearly all the results are 
published. Later it was planned to carry the observations to 
23° S.; the Naval Observatory undertook the zone 14° S. to 
18° S., and had published the Journal of its observations. [Not 
published.] 
Messrs. Hagen and Gore discussed the paper. 
Mr. F. G. Radeleinger presented the Report postponed from 
the last meeting on The analytic representation of complex 
functions. It was mainly a synopsis of the results published dur¬ 
ing the last three years by Mittag-Leffler. These analytical de¬ 
velopments are in the form of series n times infinite, which can 
be transformed into singly infinite series of rational polynomials, 
the convergency of which has been investigated. [Published in 
this volume, p. 227.] 
Mr. R. A. Harris pointed out The uses of a drawing-board 
and scales in trigomometry and navigation. The board assumed 
is about 40" x 20" with a scale of angular graduations on the 
edges radiating from the center of one long side. Separate scales 
divided to give tangents, secants, etc., may be applied with their 
zero-points on this center, and so the sides of plane triangles may 
be constructed on the board to correspond to any desired trigo¬ 
nometric function of the sides of a spherical triangle, and thereby 
the latter may be solved. [Published in Science, vol, xviii, p. 
704 (1904).] 
