OF AGATHOCLES, THALES, AND XERXES. 
189 
Possible northern position of Agathocles'i ^ . 
at the time of the total eclipse . . . .j^atitude 37° 55'. Longitude E. 16° 30'. 
Possible southern position Latitude 36° 35'. Longitude E. 15° O'. 
28. The calculations of the places of the sun and moon are made in the manner 
described above, for the times —309, August 14, lO^* and 20*', Greenwich Mean Solar 
Time (or, in civil reckoning, b.c. 310, August 15, 7*' and 8*' a.m.). The following are 
the fundamental arguments of the moon’s place for —309, August 14, 20’*, G.M.S.T. 
u. 
X. 
t. 
z. 
y- 
Damoiseau’s Elements 
9 
149-64068 
-•25737 
9 
26-1319 
—•0554 
395-6437 
— 2574 
9 
283-4513 
9 
1-6953 
+ -1522 
Greenwich Corrections 
Greenwich Unvaried Elements 
149*38331 
26-0765 
395-3863 
283-4513 
1-8475 
Elements with Variation 
149-38331 
26-0765 
395-3863 
283-4513 
2-0475 
With the Greenwich Unvaried Elements, the following places are obtained : 
ig'*. 
goi*. 
Obliquity of Ecliptic 
23 43 42-0 
Sun’s Longitude 
136 33 57-6 
136 36 24-1 
Sun’s Right Ascension 
139 4 59-5 
139 7 24-7 
Sun’s North Declination 
16 3 39-0 
16 2 54-4 
Sun’s Semidiameter 
15 56-7 
Moon’s Longitude 
136 1 19-8 
136 38 52-6 
Moon’s North Latitude 
16 17-3 
19 45-6 
Moon’s Right Ascension 
138 37 44-4 
139 16 8-1 
IMoon’s North Declination 
16 29 3-3 
16 20 58-4 
IMoon’s Equatorial Horizontal Parallax 
61 1-4 
Moon’s Geocentric Semidiameter 
16 40-1 
Sun’s True Right Ascension, in time 
9I1 Igm OQS.gc 
Sun’s Mean Right Ascension, in time 
gii I 4 ra 10^-76 
From these, the following numbers are deduced : — 
Greenwich Mean Solar Time of conjunction in R.A. —309, Aug. 14*^ 19** 45“ 27®. 
R.A. of Sun and Moon at conjunction 139° q ' 49"-5. 
Sun’s North Declination at conjunction 16° 3' 5"‘2. 
Moon’s North Declination at conjunction 16° 22' 56"' I. 
Greenwich Mean Solar Time of Middle of General Eclipse .... 19*' 52“ 28®. 
Using ^ for the earth’s compression, the following coordinates of points on the 
earth’s surface are obtained ; which it must be remembered are deduced from Green- 
wich Unvaried Elements. 
Points on the central path of the shadow. 
Greenwich Mean Solar Time. 
East Longitude. 
North Latitude. 
h 
m 
s 
18 
20 
0 
7 
2 
34 
37 
18 
22 
30 
10 
56 
35 
29 
18 
25 
0 
14 
15 
36 
9 
18 
27 
30 
17 
10 
36 
41 
18 
30 
0 
19 
50 
37 
8 
2 c 2 
