688 
ary point) are given (the names of the months are indicated by 
their numbers in Roman figures, the years are those of the Seleu- 
cidian era), preceded by the time-interval according to the table and 
followed by the difference of the dates. This difference is always a 
year, increased by one or two months, increased or decreased by 
some number of days. 
ie | Interval between 
Time-interval | Year Date ine ites 
190 KT 
419 46! 5 | year +14 414 
191 XIII 22 
40 43 „ +2 —18 
193 II 4 
42 31 „1 12 
194 HI 16 
44 19 „25 
195 IV 1 | 
46 7 Ss aby = 
196 V iF 
47 55 Se peed 0 
197 VII 5 
49 43 „ +1 +20 
198 Vit. 25 
48 43.5 » +2 —12 
199 IX 13 
46 55.5 » +1 +1 
200 | IX 30 
Aava „ +2 —15 
201 XI 15 
43 19.5 ” + 1 oF 13 
202 XII 28 
41 31.5 » +2 —18 
204 | 10 
40 58 | » tl +11 
205 ak 21 
We see here immediately that the varying time-intervals from 
the first column have certainly been used, as the calculated intervals 
of the dates rise and fall simultaneously with them. The sum of 
all the time-intervals from the first column is 5794405, the interval 
between the first and last date is 14 years 2 months and 10 days, 
which, taking into consideration 5 inserted months (191, 194, 197, 
199, 202 were leap-years with 13 months) is equal to 175 months 
5799.67 
AA 
13 
and 10 days. The mean of these 13 time-intervals is 
175 <29.5306+10 _ 
13 to 
— 398.30, thus 437.93 more than a lunar year; here again, therefore, 
the tabular values for the time-interval appear to be 0%.7 greater 
than the excess of the actual synodic intervals above a lunar year. 
the mean difference between 2 successive dates is 
