294 MR EDWARD SANG ON THE TABULATION OF ALL FRACTIONS 
x 2200219 _7.19.'71.233 
ratio, we come, on the one hand, to 3506943 = 131767149 corresponding to 
365°242 199 for the length of the year; and, on the other hand, to 
cae ee corresponding to 365°242 241. 
The latter of these gives a train of very low-numbered wheels, with a re- 
tardation of the sidereal index by one decimal second in 152 years, or one com- 
mon second in 175 years. | 
As clocks showing both solar and sidereal time are coming into use, I sub- 
join a note of the approximations found in the course of this inquiry :— 
87292 4.139.157 











87531 3.163.179 238 494 
ataag = SESLRS 238 938 
ate = rae 238 970 
aa = we 239 264 
aeaeg = ariirsy 240 604 
B01 = Tots, 24084 
ares = Goer «240876 
55 003 e fee 241 774 
See ee in) PALES 
reat Sh 241,00 
srras = gatsiiey | 22184 
ee ES aby a 
areas =Trisas 22241 
tars hein poe 
an aoe cea 72a Beebe 
Soe = es 242 301 
761.165. 5AIATION + sonson 
763 249 ~ 17.17.19.139 
