SmAEkOlDlCO-ELLlPTICOKm. 107 



grali formula (^^«^^ ^4^) atque Meo pro 

 quantitate attra&ionis qnaefitae pun&i O ad centrum ellip- 

 fis AEBFA fequens orietur valor. vfefo g^ - c ' v . ^.^ -H 



bcciaa-b f ?,V(aa-\-cc) bc z (aa—bb) baa-bb) 



_ -. . 1 .. . . . . — . — — , \- etc. 



a\bB-fccc)l a\uo-\-<.c)k 2a(&a-\-ccl 



Vel cum ad applicationem ad computum expediat ipfts 

 feries retinere , quo fingulorum terminorum integralia al- 

 gebraice exhiberi queant , praecipue cafibus quibus a et b 

 non multum a le inuicem differunt , pono V(aa-\-cc) 

 •zzY(bh-\-cc-\-aa—bb) eritque V(aa-\-cc)~ V (bb-\-cc)-\- 

 i(aa-bb) i.i(aa—bb 2 -.1 .$(aa-bb) z 



&V (bb-\-cc) z.^.(bb-\-cc)l z.±.6{bb-\-cc)\ * ^- 

 inbftituto prodibit atractio quaefita ™ [) 

 Sib b(aa-bb) tb(da- b$f i.^Haa-bbf 



a a(ob-\-cc) \a(bb-\-ccf 4-.6aibb-+ccf 



-zbc bcc(aa-bb) \bc 2 (aa—bb) 2 1.1 bc^aa-bb) 3 



aV(ba-\-cc) a(bb-\-cc) za z (bh-\-cc) 2 1 .^a' (bb-\- cc) z 



bcHaa-bb) ^bc 4 (aa-bb) 2 i.'JrHaa—bb) x 



" a 3 (bb-\-cc)l ^a 5 (bb-\-a) 2 _ .+a\ bo-\-cJf 



b(aa-bb ) 3 bc 5 (aa — bb) 2 3.5 bc 6 (aa — bb\* 



2,a(bj-\-cc)l +a s (bj-\-cc)l ^..6a 7 (jj-\-cc) 1 



1 . 1 bc % ('ia — bb) 2 3 . 5 bc 7 (aa —bbf 



2 .+a z (bb -\- cc)f ^6a 7 ^)b^Tcc)l 

 1.1. 3bc(aa-bbY i.$.5bc s (aa-bb) z 



4.2. +a{bb + cc)\ 2.4.6^ (bb-\ cc)\ 



i.i.^.$b-(aa—bby 



4.. 2. 4.6 a (jj-\-a)l 



\.^.t.%.ibc(da-Wf 



, +.6.z.^.6a\bb-\-a)l 



O a Huius 



