( 283 ) 



(not mentioned in the cited paper) in which point M falls outside the 

 segment and an ciitin' segment is included by a third sphere. It is 

 easy to see that that eoniplcmentary term is obtained out of 



7'i = 2 I I ^- 2 ;r (A + « cos Of dh >W X sogmcnt , 



whii-h ])roduces after some reductions, 



Segmont boiiig equal to '/n n (2 R^—^j^ -K" r + '/s ''"J = Vs '^ ^' (2—3 v -f ;/■') : 



. .^ r fw (3 ^i--Vo) 



7', = V:3 ^" n' y (2-3 n + .^Oj [ ^, -^ + 



3^.2+1/2^(1 -4«^)-«"l/^^^, 3.r-2«2/ , -« „ , '1.2 W 



Of this integral we mention only the ivsult taken betwccMi the 

 ,. . , r l-2ni 



limits l/.C — ll'^ — ^-— ==:r to 



l/a-- 



.„2 _. — . / J — ,j2 / _;. f,.Q^j to 1 ) 



A 4(i-„2) ; 



It is evident that this integral relates only to the second ti^npo 

 (« = 1/2 i/3 to 1) . 

 We find : 



iS' r 



I\ = I/3 7i3 iJG (2 _ 3 n + n3j 1/, ,, _ 1/^, ^/3 (i _ „2^ _ 



-2l/'ï"^^(^«--^^7Y=-V3^)], . . (IÖ) 



by which most remarkably the above named value of 7^ is 

 considerably simplified and, with the omission of the factor 



iV 

 1/3 n R'' -p.-, passes into : 



h + /",_, = .T J— _ _ „ -f 7 n^ - 4 ?.'■ + —,,« j . . (IG) 



