OF AGATHOCLES, THALES, AND XERXES. 
Points on the limits of the total shadow. 
195 
Northern Limit. 
Southern Limit. 
East Longitude. 
North Latitude. 
East Longitude. 
North Latitude. 
O / 
O / 
O ! 
O / 
?4 35 
40 29 
21 37 
39 2 
26 38 
39 53 
23 25 
38 32 
28 56 
39 12 
25 24 
37 58 
31 39 
38 20 
27 37 
37 18 
35 9 
37 9 
30 14 
36 29 
42 14 
34 36 
33 33 
35 22 
39. From the Elements with Variation, the following numbers are obtained: — 
2\ 
Moon’s Longitude 
Moon’s North Latitude 
Moon’s Right Ascension 
Moon’s North Declination 
59 23 38-6 
18 1-1 
57 3 12-0 
20 35 16*4 
_ 0 * n 
60 1 32*3 
21 31-4 
57 41 55-5 
20 46 55-7 
Greenwich Mean Solar Time of conjunction in R.A. —584, May 28*^, 2*' 25"' 53®. 
R.A. of Sun and Moon at conjunction 57° 19' 54"T. 
Sun’s North Declination at conjunction 20° 20' 18"'7. 
Moon’s North Declination at conjunction 20° 40' 18"’l. 
Greenwich Mean Solar Time of Middle of General Eclipse . ... 2*1 15"^ 24®. 
Coordinates of Points on the central path of the shadow. 
Greenwich Mean Solar Time. 
East Longitude. 
North Latitude. 
h m s 
O ! 
3 48 0 
24 36 
40 22 
3 49 0 
26 39 
39 46 
3 50 0 
28 57 
39 5 
3 51 0 
31 41 
38 12 
3 52 0 
35 13 
37 1 
It will be remembered that the term “Variation” here has the technical sense of 
“increase of the mean argument of latitude by 20'.” And it must be remarked that, 
to find the positions of the path of shadow which correspond respectively to Condi- 
tions 1 , 2, 3, 4 in the eclipse of Agathocles, the effects of “Variation” must be 
multiplied by —0-63, -l-0'78, +P31, -1-2-72. 
40. In the second map which accompanies this paper (Plate XIII.), I have shown 
by a strong line the central path of the shadow corresponding to Unvaried Elements, 
and by an interrupted line the path corresponding to Elements with Variation of 20' 
in the Argument of Latitude ; and also, by finer continuous lines, the paths corre- 
sponding to Conditions 1, 2, 3, 4 in the eclipse of Agathocles ; together with those 
that correspond to Central eclipse on the Southern position of Agathocles and 
MDCCCLIII. 2 D 
