solar tables required by Mr. South’s observations. 69 
6 z= a: -j-y X 10,9 -J- 2: x 14,69 
5,05 = ^ ^ X 12,3 + » X 13,86 
4,65 = or 4. J X 13,5 + Z X 13,09 
5,85 = jr 4 X 13,7 + ^ X 12,89 
4 = - 1 ^ + X 16,7 + ^ X 10,2 
6,07 = JC + j X 17,3 + 2: X 9,43 
6,96 = jc -f ^ X 18,5 + 2: X 7,59 
6,72 = X jy X 18,7 + 2: X 7,31 
5,05 = jc + jy X 18,8 4-2r X 7,02 
2,07 z= JO ^y X 20,3 + 2; X 2,9 
2 = j; -j- jy X 20,4 + ^ X 2,6 
4,7 = :r 4 -jy X 20,5 + % X 1,72 
3,53 = X 20,5 4 - 2; X 1,09 
6,23 = jT 4-;; X 20,5 4- 2; X 0,47 
Grouping together those equations in which the sun’s 
anomaly is included between 1" 30® and 4® 30°, between 4® 30® 
and 7* 30°, between 7® 30° and lo" 30°, and between 10* 30° 
and 1® 30°, as marked by the divisions above, we have the 
following results. 
Summer of 1821. 
110.42 = io.r— y X 175,3 4 ^ X 64,81. 
Autumn of 1821. 
207.43 = 20 j: — y X 82,2 4 ^ X 302,51. 
Winter of 1821-1822. 
53,01 = 8 X 4-y X 150,9 z X 35,69. 
Spring of 1822. 
46,37= 7 - 1 ^ 4 - .y 37,5 — 2? X 101,48. 
Summer of 1822. 
250,2= 23 jr —y X 394,9 — 2; X 20,68. 
Autumn of 1822. 
57,71= 8 a? 4-y X 13,7 4 ^ X 108,52. 
Winter of 1822. 
47,33 = loa: 4 y X 192,2 4- 2; x 50 , 33 . 
