266 P'RANCfSCI BERfELLI 



factor acquabllur quantitati 



(/) S'*^N(<)cos(y--,.2x— o— o')^s"^'^N('*)cos(//-HW— w')-+-S"^'^N(%os(i>— w-t-o'); 



quo, lU monuiinus, coefficientes N^'*\ W^^ eunidem valorem ha- 

 bebunt : si vero forma eliam eorum consideretur , aique deno- 

 minelur N^"*^ valor, quem mutalo i in — i sumit coefficiens 

 N^^) , erit 



(19) N(-5)=N(-i). 



18. Factor quadrat! e' (D) eodem prorsus modo converti- 

 tur, quo factor quadrat! e (num. 16) conversus fuit: termini 

 scilicet, quibus ille factor constat, evadunt 



(20) — 5,2"^°^«A(0sintysin2(j-Kr— o')=f2"*"'^/A(')cos{(/-H2)/-4-2a:— 2o'| ; 



"* —00 —00 



-t-00 



-4-CO. 



2 j'ACOcos f (/*2)r-.-2j?— 2o' > - 

 (21). . — 2i'z""^i^A(')cosiysm^(/-*-x -o')=< 



V -00 -^ 



(22) 2 ^■a'(— 7)sim/sin2(j-f-x-.o')=-2_J«'^-^jcos [{i^2)jr^2x—2a' ] ; 



(23)...-4E;;^«'('^^')sin.>cos2(j*x--«0=-40'f^)^ 



(24) i^'^'^«'^(-;^ jcosrrcos^(7-t-x -0')= 



^ 2;^«"^('^^)<^o^|('-^2)/-.2x~2^0{ J 



His terminis in unam summara collectis, tertioque terraino 



