-^.^ ) 40 ( ^- 



tum cafu quaeruntur, quo poft integrationem fit .r =r x. 

 Hiinc in finem formula ^^, l^ ita repraefcntctur: 



I 



(1 -{- X X ) ^^ numerator {i -\~ x x) Mn fcricm con- 



y{i-xx) 



vertatur, quae crit 



T I V V _L ' ' V* ' * * v* 4- ' ^ * ' v* etc 



X — 5A.Jv-t"3.5.v — i • -i ' % '^ ^ a ' -4. ' K • V ^ — Ll«.. 



ita vt loco -p — '- — Ti fcripturi fimus hanc feriem: 



■ _[_ — ■ (i — iJf.v + j.iX" — i. + "sA' +2.4-6-B.*" — etC/ 



quo fa(ftor tam pro j quam pro i fcquentcs formulac in- 

 tegrandae occurrent: 



f d X f X X d X r x*,d x . .j. 



J V(i — X *)' ' V(i — 5C *)' ./ V(i — "x 5C)' 



§. 10. H.irum autem formularum intcgralia hic 

 non in gcnerc rcquiruntur, (cd tantnm pro cafn quo 

 poft integrationem ponitur x =z i. Hoc autcm ca(u no- 

 \imus, fi I : TT dcnotct rationcm diametri ad pcripheri- 

 am , cffe 



/ d X n r X X d X . — I ff 



v(i — XX) — '"» yvd — XX) i'»» 



/x* d X I j -n f x^ d X > j 5 TT 

 VF^ ilT) — 5 • * • '- ' y VO^x~T) — 5 • 4 • « • = ' 



€t ita porro, quibus valoribus fubftitutis primo cx formula 

 __ , X X d X ,x X d X {i -\- \ A-)~ ' 



colligimus forc 



fl — 5 <,i - ;T--4-rrr-7T.B — ^■;7.ji., + etc; 

 cx nltcra autcm fornuila s^/~^^, colhgitur longitu- 

 do totius arcus 



CA=: 



