260 



Fr\.\C.I'.CI BER^EfLI 



3 a 



i •*" NOV 



I . COS /I t — nl-t-s' — f}sin2v«7-+-e') 



o-/*'/' 



+00 



4 ' <i'2B(')cos/[«'t — nt-^E — e)sin2(n' t-t-e') 



•' -00 



. cosfn't — nt-*-e' — e^s'in"- (n't-t-s') 



m 



7'' < 



->-oo 

 ^|S /A(')sint(fi'«— nf-HE' — £)sin2(n '<-+-£') 



-•-00 



— i'^ a''BC')cosjYn '< — nt-*-e' — e)sm-(n't-*-e') 



^ —00 ^ \ / 



I -f-oo /^/A'0\ 



I — 4^ a'l 'cos/(«'« — nt-*-e' — e)sin\n't-^e') / 



•* -00 \ Ja' / 



1 4. Haec functionis perturbatricis evolulio ad formani magis 

 simplicem reduci potest , atqiie ita exiberi , ut duo genera inae • 

 qualitatum, periodicaruin scilicet, et secularium, facilissime ab 

 imicein secernantur . 



Brevitalis caussa ponatur 



(1) 



[ n't — nt-i-e — «=j; 



et primum factor exceatricitatis e in aeqiiatione (D) evadei 



H-00 



2 S /A(')sin/jsin(jc — e) 



—00 



I — S a I |cosj/cos(j: — o) 



-00 \ da I 



Al si litterae i omnes valores inlegros turn positives, turn 

 -^ negatives, nc excepto quidem valore i = 0, deinceps tribueris, et 



suinmam symbolo 2 indicatam confeceris, has aequalitates com- 

 peries 



(2) 2 S "*"*^/A(Osin;/sin(j:— «)= 22 /A(')cos(«j4-j:— o); 



— 00 — ^ 



^00 /d\{')\ _-t-oo ldk(i)\ ,. . 



3) . . . — 2 a( -— Jcos/>cos(x— o)=— S_^af — jcos(t/-t-x— »); 



posito igitur 



