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Transactions of the Boyal Society of South Africa. 
which exceeds Hanson's " Darlegang " value by 4-ll'0", the correction 
deduced by Newcomb, so that the correction to be used becomes 22-83". 
Tables were then formed of the necessary corrections to the quantities 
T, L, Z, P, Q, and the arguments I., II., . . . VIII., at the different 
epochs in order to reduce these factors to the values corresponding to the 
adopted theoretical basis. From this amended data there were calculated 
the complete values of T, L, Z, P, Q, log^j, logg, log AL, and fi'^ ; and in 
turn from these were computed the values of ^, logy, G, H, sing, cos g, 
sin k, cos k, and n employed in the calculation of the path of the shadow 
of the moon. Finally the line of central totality was computed according 
to the formula on p. xxii of the " Canon der Finsternisse." 
The results obtained were as follows : — 
Latitude of Central Path of Totality on the Meridian of Babylon. East 
Longitude 44-40". 
- 1-235 
May 26th 
0 = +32-43° 
-25-69AZ 
- 8-39AB 
-2-28AA 
+36-39Ar 
-1217 
June 5th 
-+32-76 
+ 10-89 
- 6-67 
-0-58 
- 4-87 
-1210 
July 18th 
= + 9-46 
+20-69 
+ 5-25 
+0-94 
-27-82 
-1163 
July 8th 
= +27-16 
+ 1-54 
- 5-61 
+0-19 
+ 4-43 
-1135 
June 28th 
= +41-31 
+ 15-61 
+ 8-40 
+0-39 
-25-76 
-1123 
May 18th 
= +41-09 
- 7-36 
- 5-34 
+0-41 
+13-62 
-1116 
June 28th 
= +22-53 
- 1-86 
+ 5-13 
+0-09 
- 3-51 
-1069 
June 30th 
= +18-41 
-17-29 
- 6-06 
+0-30 
+ 25-07 
-1062 
July 31st 
= +36-33 
- 2-25 
+ 3-44 
-0-18 
- 1-27 
-1014 
July 11th 
= +36-36 
+ 12-38 
- 8-32 
+0-48 
- 7-20 
- 956 
May 31st 
= +43-25 
-25-06 
-10-69 
+ 1-27 
+38-28 
- 947 
May 22nd 
= +43-98 
-19-00 
+ 8-01 
+ 1-51 
+10-78 
where Al, AB, aA are corrections to the adopted mean longitude, longi- 
tude of Node, and longitude of Perigee at epoch of Eclipse expressed in 
degrees of arc ; and where — 
(p = Latitude of centre of path of totality on crossing the meridian of 
Babylon. 
The latitude of Babylon may be taken as 32-57° North, with an uncer- 
tainty of about half a degree, as it is quite uncertain from which of the 
temples in or near Babylon that the eclipse was observed. 
Within what limits of latitude must the central line of totality be 
brought on crossing the meridian of Babylon before it can be held to 
satisfy the record of the observation ? 
The semi-width of the path of totality may be taken as from one-half 
to three-qaarters of a degree of latitude ; the uncertainty as to the place 
of observation amounts to about half a degree more, whilst the doubt as 
to the true values of the terms of very long period renders the true value 
of the moon's motion in mean longitude sufficiently doubtful as to make 
the true path of totality uncertain by fully a degree of latitude. Hence it 
