Sa G. H. COSTJORDENS 



Hlc valor si integretur, quod facile ope serierura fieri potest, obtinebitur arei Secto» 

 ris ACM, et hinc invenitur tota Eiiipsis, uti supra id ostendimus in §. 4. Sect. I, 

 hujus Capitis. 



Cuin pro circulo sit a — b, erit , facta substitutione, area Sectoris ACN =s 



r ""('* ( V 



Porro sit XAX' Hyperbola easdem axes habens ac Ellipsis ABaAj ejus aequati» 



erit j'- = ^^(A«-.<,*). 



Est Sector ACR = CQR. — AQR. 



rf.ACR =: </.CQR. — rf.AQR 



CQR = JCQ X QR = I* . *-t/(**-«') = ^t/(^*-«') 



-f.CQR = ^^(</.^^x*_.^) + p^^r-f-;^) 



d . AQR = ydx = — i/(** — «*) ; adeoque : 



4/.ACR = rf.CQR — o^. AQR 



= t: (^-c^^-"') "+ ^fzi^i - =t/(^-«')) 



= ^vu--''^)(-^,_,.-x; 



a^ " "^ ' x^ — ar 



= —J^^rrrza. aT» adeoqne 



area ACR = — l dx — r-s r~ 



2«7 V (> — " J 



Q«i 



( Ccnf. CU J. 5. »«« Ar £^4 , l^.r*. /«/r* /«iiA paf. <f ei l«% 



