1818.] Lacroix's Differential and Integral Calculus. 209 



z t + 2 n + 1 ( a + c s n )m + i — a (r + 2 n + 1) . I 

 c{mn + 3n + r+ 1) 



K = 



&c. 

 Where ;• is continually increased by n. 

 And 



f + l (a + cj" ) m + » + (m + 1) n a . G 



mn+n+r+1 

 f + j (a + c z» ) m + * + (m + 2) n a . L 



mn+2n+r+l 

 z r + l (« + c« n ) m + 3 + (m + 3) n g « M 

 mn+3n+r+l 

 &C. 



Where ?ra is continually increased by unity. 



L = 



M = 



N = 



Article IX. » 



Account of the Weather at Bombay. 

 (To Arthur Aikin, Esq.) 



DEAR SIR, Foster-lane, May 28, 1818. 



The inclosed register of the weather at Byculla, Bombay, 

 has been transmitted to me by Mr. Benjamin Hoton of that 

 settlement. If you think it will be interesting to the readers of 

 the Annals of Philosophy, it is much at your service for that 

 purpose. Yours truly, 



Richard Knight. 



Annual Statement of the Observations on the Weather, made at 

 the Rooms of the Literary Society of Bo?nbay from July, 

 1816, to June, 1817. 



Date. 



1816. 



July 



August. ... 

 September. 

 October . .. 

 November . 

 December . 



1817. 

 January . . . 



February. . 



March 



A|>ril 



May 



June 



Thermometer. 

 Mean. Highest. Lowest. 



80° 

 78± 

 79£ 

 83* 



79| 



78J 



76* 



79 



63* 



65* 



84° 



81* 



82* 



87 



86* 



83* 



83 



82 



82* 



88* 



90 



89 



77" 



76* 



75 



80 



78* 



76 



74 



70 



75 



80 



82 ' 



7T 



Mean. 



Barometer. 

 Highest. Lowest. 



riches. 



29-80 



29-82 



29-905 



30035 



30-07 



30-075 



30135 



30-10 



30065 



29-99 



29-95 



29-885 



Inches. 

 29-89 

 29-99 

 3004 

 30-19 

 30- 19 

 30- 18 



30-19 

 30-22 

 30-19 

 3012 

 30-09 

 29-99 



Inches. 

 29-64 

 29-71 

 29-79 

 29-95 

 29-96 

 30-01 « 



30-01 



29-96' 



3001 



29-94 



29-76 



29-62 



Vol. XII. N° III, 



