nemiis , cariim fumma primo dabit 



/xdxlx I /■ dxlx inlr 



V(. — x3)= V(i_a:') 



fin aiitcm pofterior a priore fubtrahatur , orietur ifta ae* 

 quatio: 



/ X]d X l X __ r d xl X 1 TTff 



V(i— i-J- V(i — X)' 



Quoniam hoc modo ad expreffiones fatis fimphces fumus 

 perdudi , operae pretium erit ambas aequationes fub aha 

 forma repraefentare, qua binae partes integrales commode 

 in vnam coniungi queant ; ftatuamus fcilicet — ~— — z , 



V(.-«') 



vnde fit ~— — z z , ficque prior formula induet hanc 



V( '—x^y- 

 fpeciem:/'^-^— , pofterior vero iftam : /5-^^l£ ; tum vero 



liabebimus — — ~ z\ vnde fit .v^ rz: -^,, ideoque 

 lx — lz-klii-^z') — l _ — 2 



V( >-t-aJJ 



hincque porro 



d^ — d z zzdz d s 



X IT I + s' z, ( I -+-~z' ) 



quare his valoribus adhibitis prior formula integralis euadic 

 rzd^ j ^ -- - ; altera vero formula erit f4^,.l — ^ . 



V('-f-2n V('+an 



§ 45. Quoniam autem integralia ab x~o ad jf— i ex- 

 tendi debent, notandum eft, cafu xzio fieri s — o, at vero 

 cafu .v~i prodire s~cvi, ita vt nouas iftas formas a crro ad 

 Z — co extendi oporteat. Quo obferuato prior harum for- 

 mularum dabit 



/ zdz J g [- a 2 3:30 -] ttZ : 1 Trir 



i+s-. Lodsj— CNjJ — TT"! ■"• -7 



V(.-f-s;)» 



pofterior vero 



/ d z 7 2_ r a z ~ o -| TT ? T _ T ir 

 .+z» 3 ', Ladz— coJ Jy-j ' -^' 



V(.-4-s') 



Hinc igitur fumma harum formularum erit 



r dzi ' -f - )^ ^ 2_ _ _ ijnjj 



J < -t-s^ * r 3 V J 



V f ' -f- a' ) 



A^a Acad. Imp. Sc. Tom. 1. P. 11. D at 



