566 DR J. HALM ON 
Helium—continued. Helium—eontinued. 
3rd SUBSIDIARY SERIES, 
log a, = 4'95930 — 10 
2nd Sussiprary Series (2nd Component). 
log a, = 496066 —10 
= : = 271/82° 
log 6, =3°40436, — 10 Yo = avene ie log 6, = 2°60712, — 10 10 
(m+p)|  v obs. v comp. ee K-R. (m+ m)|  v obs. v comp. Con K-R. 
2°7 14153°3 | 14153°7| —0°4 — 48: 3°0 14973°4 | 14973°6| —0-2 0:0 
37 21216°7 | 212160) +0:7 0-0 4:0 20316°7 | 20316°5] +02 . 0-0 
4:7 242661 | 24267-:0| -—0-9 0:0 5:0 22789:0 | 22788°6| +0°4 0-0 
5-7 25855°9 | 25856°6| -—0-7 0-0 6:0 24131-°7 | 24131:-4} +0°3 00 
6°7 267881 | 26788:-9| -—0°8 + 14 70 24941:2 | 24940°9| +03 00 
(her 27381°2 | 27381:8}' —0°6 + 3:5 8:0 25466°5 | 25466°3) +0°2 +01 
8-7 27781-°9 | 27782°2| -—0:3 + 55 9-0 25826°3 | 25826°5| -—0°2 -O 
oT, 28065:3 | 28065°3 0:0 a VG 100 26084°4 | 26084:2} +0:2 — 0-2 
10°7 28272°7 | 28272-7 0:0 + 9-3 11:0 26274:7 | 26274:7 0-0 — 0:2 
117 28429°4 | 28429-3| +01 +10°7 12-0 26420:0 | 26419°7) +0°3 — 03 
12°7 28550°7 | 28550°3| +0-4 +12°7 13:0 26531°9 | 265325] -—0°6 — 0-4 
13-7 28647°3 | 28645°8| +1:5 +14:1 14:0 26621°9 | 26622°0) -0O-1 - 01 
14:7 28722:5 | 28722°5 0:0 + 14:0 
2nd Principau SERIES, 
log a, = 4-96161 — 10 ee 4th SuBsipiaRy SERIES. 
log b, = 3°40531 — 10 ee log a, = 495932 — 10 ye = 27181-7 
log 6, =3°67610, - 10 
Obs. — 2 
m+ v obs. v comp. K-R. | 
oD) P| Comp. (m+p)| vobs. | v comp. Coal K-R 
3°0 19936°8 | 19936°4| +0°4 0-0 
4:0 95221-1 | 25221°1 0-0 0:0 233 13732°8 | 13732°8 0:0 —158 
5:0 MAIER) MAGEE || Ors 0:0 312 19810:9 | 19810°77; +02 0-0 
6:0 29004°5 | 29004:9; -—0-4 +0:2 473 22534°2 | 22534:6| -—0-4 0-0 
7:0 29809°3 | 29808°8} +0°5 +0°7 543 239861 | 23986°1 0:0 0:0 
8:0 30331°3 | 38330°8) +0°5 +0°7 632 24849°4 | 24850°1| -0°7 + O04 
9°0 30690°7 | 30688°7| +2°0 +1°5 742 25405'°9 ,; 25405°6| +0°3 + 10 
10:0 30947°1 | 30944°8| 42°3 +1:8 843 25784°7 | 25783°9| +08 + 13 
11:0 31136°4 | 311384°3) +2°1 +2:1 gi3 260537 | 26053°0| +07 + 18 
12:0 31280°7 | 31278°4| +42°3 + 2:0 1043 ses ao ae 
13:0 te Se a ae 1143 26401°8 | 26401°6| +0-2 + 2°3 
14:0 31480°7 | 31479°6| +1°:1 —0-4 1233 265200 | 265181; +19 + 44 
Reviewing the results of the foregoing computations, which embrace now all the 
line-series so far as known, we must admit that the RypBerc-THIELE formula is in many 
cases distinctly better than that proposed by Kayspr and Runes, and is never inferior 
to that equation. Its advantages become still more obvious if we investigate more 
closely the constants. Let us begin by testing the law mentioned before, according 
to which two subsidiary series of the same element possess common tails. In the 
following table we give for all cases in which two subsidiary series-have been found, 
