( o35 ) 



a iniuihoi' of (Mjiiatioiis from laltic I lo (IchM'iiiiiic Ihc cocriicic'iits 

 occuri'iii^- llici'c. Aldioiiii'li \\\o form of llial fiiiiclioii is mikiiowii, yt't 

 d' for ,/■ l)('h\('('ii O and / miisl hc r<'|ir('S(Milal)l(' hy a series of K()ri{iKi{. 

 1( may iio\n' I»(' asked whether it is possihh' within the linutsofthe 

 aceiu'acv given by the ohservutions. to represent d' by some terms 

 of a series of Koirikk. Therefore I have put : 



d — a J ros -y + ^ , '•^•^ -y- + "\ '•^•^' ~y- , 



where / is the length of tlie tnbe. 



The term ^/'„ is omitted, because, in eoiineetion with the eircnm- 

 stanee diat L i'epi-es(Mds the (Htfei-enee between Ihc; length of the 

 meirni'V cobimn and the mean h'ligth, we eoidd expect befoi'eliand 

 that it wonhl IxM'onu^ smaU. 

 '/ 



For — A = I (]' . (I r we tiien find, if we bear in mind tliat 



/' 

 (f — p =z III -\- L. wiiere A may be put small: 



( / , .T jt I 2jr Y + y 



4- ll „ I ■•<l>l /// -f A (V>X /// ; fOS ^ . . 12) 



\ ^t I / I / 2 / ^ ^ 



4- (-1 , •^''/' >'t -+- La Cos --- m ros , 



^ •' |8.T 2/ ^ 2/ i / 2 I 



b'or the case under coiisidci-atioii I =z h(), /// = 11.29, so tliat if 

 as in labh_' 1 we put : =: J7 : 



21 , jt n 



sin - in -j- L^ rits - m ] n» 



21 



21 



\ ^_ 7_+i' 



r 2 



jt 



A = (f', 11.05 + U.l»4 L ros M 



4 </., 10.37 I U.7G L ros M 



I ) 8jr 



-I- a\ i).28 4- 0.48 L ros — M 



(3) 



The data of table 1 now lead to the erpiations combined in table 

 IJl: first 1 have derived from tal»le 1 the \alnes of /> ïor M =z 10, 

 15 etc., as this olfei-s some advaidage in the calculations (the value 

 L with M = ().il() is kept, as it did not seem advisaide to me to 

 extrapolate as far as M = 5j. 



