586 Prof. B. Stewart on the Daily 



Table III. {continued). 



No. of 



Date of new 



















luna- 



moon 



beginning 



(0) 



(1) 



(2) 



(3) 



(4) 



(5) 



(6) 



(7) 



tion. 



lunation. 





















An 2" 























23 1. 



Si 



187 : 

 10/3. 



i7'6 



14-8 



117 



12-3 



i4"i 



1 3"o 



i3'6 



i4'3 



232. 



Sept. 



2 1 



)> 



i5'5 



22'3 



21-9 



15-5 



1 3'6 



i4"o 



i4'o 



l6'2 



2'33- 



Oct. 



2 1, 



)> 



I ro 



I2'2 



i5'5 



17-0 



12-8 



6-8 



81 



77 



234. 



Nov. 



20, 



" 



8"5 



I3'2 



IO-8 





7'3 



7'5 



8'4 



io"4 



235. 



Dec. 



19' 





9"2 



9'4 



8-9 



110 



10-8 



9 '4 



IO-8 



9'3 



236. 



Jan. 



18, 



187A 

 10/^. 



9'o 



10-8 



11-8 



8-9 



77 



96 



I2'6 



io'3 



237. 



Feb. 



16, 



" 



8-2 



I2-4 



io"4 



I2'6 



147 



15-0 



i4"5 



132 



238. 



Mar. 



18, 





12-8 



i4'5 



18-9 



15-8 



114 



i3'3 



15-6 



i3"o 



230. 



Apr. 



16, 



)> 



i4"i 



IQ'O 

 7 



21-8 



20'5 



177 



i4"9 



15-6 



13-6 



240. 



May 



T f 



>5 



I 5'2 



2 I "4 



189 



18-3 



18-5 



22-5 



23"I 



23*0 



241. 



June 



T A 



>> 



i8-!? 



1 3 '4 



17'I 



1 7'o 



1 2 "4 



161 



227 



24" 6 



242. 



.Till V 



T 'J 



*' 



19-8 



2 '^■6 



22" C 



17-8 



1 7'o 



17'? 



/ J 



I4'2 



i3"3 



243. 



Ausf 



1 2, 



5> 



I2'6 



1 5"3 



2I"9 



237 



20"6 



1 5-5 



12-3 



IO-8 



244. 



Sept. 



I 



>J 



1 3*o 



i4'5 



i6'o 



157 



i9"9 



17-8 



11-6 



14-1 



245. 



Oct. 



I 



?) 



1 4" 5 



1 1'5 



ii'i 



I2'3 



I I'O 



6-6 



9'4 



i4'6 



246. 



Nov. 



Q 



" 



1 3-4 



10 6 



lOT 



8'5 



7-8 



lO' I 



9-8 



III 



247. 



Dec. 









IO-6 



6-9 



5'o 



7-6 



7"9 



6-8 



90 



IO'2 



248. 





li 



1675. 



7'5 



8-0 



69 



6-8 



8-2 



8-4 



HI 



I3'2 



249. 



Feb! 



6, 





9"2 



6-4 



Q"0 

 -/ 



9-6 



6-1 



8-3 



6-3 



9-0 



250. 



Mar. 



7, 





12-4 



lO'O 



107 



1 1"9 



i3'i 



151 



11-9 



I 1*1 



251. 



Apr. 



6, 





117 



io"6 



IO-8 



22-5 



25"5 



19-8 



207 



i7"4 



252. 



May 



5. 







J 



21-6 



2I"5 



l6'2 



181 



I7'2 



2O'0 



7 



253- 



June 



3' 





24'0 



207 



i6"o 



12-8 



i5"o 



I9"2 



i8-6 



i4'3 



254. 



July 



3' 





i3'4 



14*0 



i3'5 



11-8 



10-5 



127 



i8-6 



21-5 



255- 



Aug. 

 Aug. 







19-4 



187 



14-9 





17-8 



18-4 



19-4 



17-3 



256. 



3o> 





167 



i8-3 



21-3 



17-4 



i8-o 



19-5 



i3"3 



II-4 



257- 



Sept. 



29, 





137 



14-1 



i4"o 



15-4 



i6-5 



II-3 



7-8 



9'5 



258. 



Oct. 



29, 





6-3 



7-9 



IO-8 





13-5 



I2"2 



9*5 



7"5 



259- 



Nov. 



2 7> 





5-7 



5-1 



6-6 



7-0 



8-8 



IO"6 



9' I 



9-1 



9. Making use of the whole series of lunations of Table III., we obtain 

 the following result : — 



Phase of lunation... (0) (1) (2) (3) (4) (5) (6) (7) 



Value of range 14-08 14-20 14-29 14-05 13-95 i3'83 14-04 14-17 (A) 



a series which presents the appearance of a double period. It will also 

 be noticed that the sum of the four left-hand numbers is larger than that 

 of the four right-hand numbers, the former being and the latter 



55-99. 



If we now divide the whole series into two parts, we obtain as 

 follows : — 



Phase of lunation .. (0) (1) (2) (3) (4) (5) (6) (7) 

 Eange (1855-65)... 13-93 14-11 14-13 13-82 13-79 ^r^9 ^373 i3"88 (B) 

 „ (1866-75)... 14-24 14-31 14-48 14-31 14-15 13-98 14-39 i4"49 (0) 



It will be seen that the order followed by the numbers in series (B) and 

 (C) is similar to, though not identical with, that followed in series (A), 

 and also that in series (B) and (C) the sum of the four left-hand num- 

 bers is greater than the sum of the four right-hand numbers. We may 



