= 
= 
¥ od 
‘ , 
42 Proceedings of the American Philosophical Society. 
-acareful examination by Mr. James Sowerby, to assimilate very closely 
“to those of the oolitic beds,” &c. 
Mr. Lea’s paper contains descriptions of the following species : ! 
Orthocera Humboldtiana, Ammonites Tocaimaensis, Ammonites occi- 
dentalis, Ammonites Gibboniana, Ammonites nuxemensis, Ammonites 
conceived the ultimate object of their peculiar logic.” The second sec- 
tion is on the ‘‘ Continuity of Functions,” and the division of this con- 
tinuity into classes; a subject heretofore touched upon only incidentally 
by other writers. The principal object of the paper is presented in the 
third section, which treats of “ Functions considered in the order of their 
magnitude,” and. particularly of “Taylor’s Theorem ;” and the author 
discusses this subject with the care demanded by a theorem which forms 
the basis of the differential and integral calculus, and which acts so im- 
portant a part in all the higher mathematics. 
Mr. Walker, from the committee on making and collecting observations 
of celestial phenomena, reported in part, that they had received observa- 
tions of Lunar Occultations of the fixed stars, which are given in the 
mean time of the respective places of observation, being a continuation of 
the list published in No. 6, pp. 71, 72, of the Society’s Proceedings, (Vol. 
xxxvut, p. 177, of this Journal ;) and, on motion, the report was ac 
cepted. 
The longitudes and latitudes of the American places of observation, a8 
far as they can be determined from a reduction of these and former Amer 
ican observations, have been furnished by Messrs. Walker and Kendall, 
as follows : 
