DE CALCFLO INTEGKALI. 155 



rr — l^xdx-\-{aa-xx) dN . TraAetur hasc remanens 

 sequatio , inftar praecedentis sequationis canonicae ; hoc 

 eft , dividatur -j aaxdx per xdx , quia ineft aequationi 

 menibrum-Nx^Ar,in quo aeftimatio litterae N quacritur, 

 prove- iet in quotiente quantitas conftans ^ aa , quare 

 pono N=iB-V-0. &^Nzr/;0, quibus in sequatione fuC 

 fe<Sis nafcctur -^aaxdxziz—Bxdx—Oxdx-^-eaa-xx^dOj 

 qunre flid-a B-zz-^aa , remanebit aequatio -O.r^.r-f- 

 (aa-xx) dQz^o, quare O & dO nihilo aequalia ponenda, 

 adeo ut ft Nzr B— -^^^ •, hinc derivatur M(^— 2h-N^ 

 z:zAxx-\-]^rzz—^xx--^aa. Adeoque u(zz.^^-^l) 

 zz-[(xx-\-2aa)V(aa-xx )']:'>,. 



ti.xeviplum 4. ' ' • 



Sitgenera]ius<//.'r=:vr""'-'^.r(^^-f-Z'.r"/ ■ 



Habemus ergo ^K=::.r"'"-V.r , V<.—a-\-hx^ Sc X— ^, 

 & sequatio generalis Canonica nunc nrutabitur in 

 Ar'""-V.r zz.(p-\- \)bm 'mx^'dx-^(a-\-hx'^)dm , & quia 

 in quantitate ^r-^i^^777Mvr'^V.r ineft .r"^'f?lr, dividatur 

 quavtitds x^^^^^dx per x^~^dx , quoticns reperieiur 

 ^n..-m ^ qy^j,^ ^^^j^ M=:Aar'^'"-"'-+-N , & dm=inm-m 

 Aa:'^"—"*" ^r-f-^N quibus in arquat caiiorc -i fufFedis h a- 

 betnr Ar^^^V.rzr (p-^-n) hmKx^^^^^dx-YCnm — mjah x 

 *^-'^-'dx-^(p-\-\)hm^x'^~'dx-\-[a\hx'^)d'^. Qua- 

 re fada Arr^^^^^^ , fiet [m—nm^aKx^^^^-^dx:^. 

 (p-|-i)Z'wN.r"-V.r-f-(^-4-Ar"' ) ^N. 



Fiat N— B.r^'^-"» -^O , & ^Nz=(?7w-2wl Ej? 

 •m_2m_-i ^x-\-dO.^ quibus in acquatione canonica ff cun- ' 



da, qu.r fiKccfft in lociim prim^ , furrogatis refultat 

 {vn—nm^aKx'"^-'^-^^— (^-4-«_,)/^;7;E.r"'"-'"-V,;r-H 

 (;/;«— o;;/}^B.T''"'~2'"-V;r -\- (j5-f-t) hm OA^^V/.r-f- - 



V Q. {a^ 



