6A, OBSERV ATIONES 



et (JLrrs vt habeamus hanc aequationem cubicam 

 j^— A-4-B/, cuius propterea vna radicum erit : 



—7 



jznA^+i.A-^B-f-oA B^-^f^ ^(f/^-iLiif A ^(?) 



-I.-I.IIaT^?)' -^.-|."-?.;.Ja"^(?; etc. 

 quae expreflio quo clarior reddatur fumamus A := ^' et 

 "BzL^b vt prodeat huius aequationis j''— 3^/ + a* radix 



7.+.1.-.S i' f . 16.13.10.7.4.1.2.5.8. 6'** etc 



2. 3. 4. 5.6. 7.8.9.10 a 9 



j' r: /3! -i-5--t- — . 5? -t- ri:T.5.6,7- a'» ^ 



2.* h^ 8.S.;,i.4. h^ _ M.n.^.S.?.!.*.? &£ _ 20. 17. n.iT.g.T.:. 1.4.7.10 &J^ px^ 



"^ zTs' O^ "" 1.3.4.5.6' a^' 2. 3.4,3.6.7.S.9' a'7 2.3. 4.5. 6.7,8.;, IO.II.I2' C^^ 



quae ita concinnius repraefentatur ; 



, J 1 1 h* i_\7»\0 6' I I 7.IO l ^.lS ^"^l.l 7,10 >?.TC ip. 32 &'* 



, jj ^ , 5., fes ^ , s^ 11-14 fc^ _ L £d ■ "'* ^IlI^ ^ etc 



XIV. 



Hae feries accuratiorem euolutionem mercntur, 

 ponamus ergo pro priore 



6. 7 



et cum efle debeat ^z^'-^^^\ —^' haec conditio 



M z n-i- 3 3 n -+- 4 



adimpletur hac aequatione diflerentiali fecundi gradus 

 ddszzi^x^ ddS'\-6xxdxds—2.xsdx^ 



quae commode per ^xds — sdx muhiplicata inte- 

 grabilis euadit \ reperitur enim integrando : 



X d s^— sdxds^Q d x^ziz^x'' ds^^—^x^ sdxds-^-xxssdx^ 



■vbi cum fumto x infinite paruo fiat sznx et j^:^i 



euidens eft capi debere Qzzo ita Yt fit 



{xds 



