SOLAR ECLIPSE OF MAY 14, 15, 1836. 391 



Rejecting Nos. (41) and (44), which differ most from the mean, 

 and taking the mean of the remaining numbers, there results, 



'^(O— J)) = + 0"-1566 + 0-0619 X A^ 



(b) 



A/3 = +0-7121 + 0-1193 X A 'r 



The sum of the equations Nos. (1) to (11), inclusive, rejecting Nos. 

 (16) and (10) from the United States observations, give (c), and the 

 equations from the European observations, rejecting Nos. (17), (18), 

 (20) and (45) give (J), as follows : 



(c) . . = 50"-86 + 43-6745 X a (© + D ) + 14-2733 X a ^ — 5-1156 X A !r 



(d) . .0 == 113 -19 + 101-1848 X a (q + 3)) — 5-1929 X A /2 4. 13-7391 X a^ 



Equations (b), (c) and (d), give, 



A (O + DY'^ = — l-*-3972 +0-0781 X a =? 

 A (O + 3))(") = — 1 '0823 —0-1297 X a^ 



and, 



A (o + 3) = — l"-279 



A (o — 3 ) = +0 -250 



A ^ = + -893 



Att = + 1 -516 



But according to Ruraker's letter, 



A' (O + d) = — l"-000 



A' (o — 3) = —2 -000 



A' g = —7 -630 



a'^ = 0-000 



whence, denoting by d the sum of the corrections respectively denoted 

 by A and A', we have, 



f^(0 + D) = ~2"-279 



d {Q — D) = — 1 -750 



d = — 6 -736 



dTT = + I -516 



VI. — 4 X 



