22 Prof. W. M. Hicks on the 



Notes. — m = 2. The F lines are in the unobserved red 

 region. There appear no simple e, u, v links. That sug- 

 gested is very problematical. 



m = 3. The separation 19*41 suggests 156^ on the sequent,, 

 which gives 19 - 09. 2E X on the limit gives 18*24 and 

 is too far out. In connexion with F } there appeal- 

 several lines which suggest displacement. 



(5)33522-63 

 f (33586*45) = F X 72 96 2£ on limit gives 73-12 



\ (1)33595-59 (-SjF,. 



*• 32-88 (2r)33619-33 (-3^^ (-5^) gives 3377 



3360 

 6648 (2«) 33652-93 (-6SJF, (-10^) g^es 67*54 for 66*48 



7662 

 (4») 33729-55 



m = 4. The only directly observed line is F,. A precisely 

 similar line lies next before it separated by 45*35,. 

 which is 5S 1 ( = 45'70) on the limit. They are clearly 

 associated, but whether in this way, or with concomitant 

 displacement in the sequence cannot be definitely 

 settled with this order ?« = 4 as the change per oun in 

 the sequent is so small. 



m = 5. Here again there appear several sets of displaced 

 lines. The different separations 257, 242, show that 

 the sequents in the F 2 set are different from those of 

 Fj — in other words, the sequent in F 2 has experienced 

 a change ±(257*17 -242'78) = 7-20. As 5S = 206\ 

 produces 7*40, it may be this. It makes the actual 

 separation 249*98. 



m = 6. The separation of the associated F : lines, 18*39, is 

 exactly due to a 26\ displacement on the limit. 



The set given for m = S is not in step for this order. The 

 denominator of its sequent is 8*872840, and is smaller than 

 Ave should expect, although it is possibly in step with a rapid 

 decrease foreshadowed in m = 7, and analogous with D lines 

 of highest order in the alkalies. It is given, however, as 

 illustrating the general remarks on these series above. As 

 an example of another set in this neighbourhood may be 

 taken : 



(1 n) 27972-50 

 24542 

 (5)25249-65 26733-78 (28217*92) = (d x ) (3)28227-06 



