PROBLEMATIS ISOPEKIMhTmcL ijp 



trahiitiir — bt. d. T q -{- r y d (T ~i- dT ) (q -^ dq) '^ po^ 

 fito ^ loco ^-(. Ponantur iam ^ S , § y q.z y d in aequa- 

 lia ipfis <7i^, bc., et cd^ et qu^Acratur diffcrentia ^ quae 

 ex \:iri:i rignificutione dT ct ddT oiitur. Eil Ycro 

 ipruiii LdSy tranrim taiflo ab eicmentis ^^, ^r, i-*^ 

 ad elementa <7(3 , ^Sy , y i, incrcmentum L.p;»— Lfc 

 ^|3, ipiuis M^j' vero M^j3. NVx non mutatur. Si- 

 mili modo iplios 2hds-+-d. Lds incrementum eft (L 

 ~\-dL)(^m-l^lJ.-cY) = (L-{-dL)i-dq. l^^-(q 

 -h dq) cy )^ et ipfius 2M ^7 -h </. M «/7 incrementum cft 

 — <M-|-^M)fy. His fmgulis incremcntis per ^r et 

 sd refpediue m.ultiplicatis , cum ante inuento rcfiduo 

 in vnam fummam coniedis , et r=o pofitis, prodibit ifta 

 aeqiwtio ^'^(-^.T q-^-Lqds-^^^ds-Ldsdq^-^cy 

 (d.{T-^dT)(q-^dq)-Lqds-Lqdds-qdLds- 

 Mds—M.dds— dMds)~o. Affumo hic autem Z^^; pro 

 ^i,eti-^pro ds-i-dds^ quia ab non occurrit.Si haec aequa-, 

 tio cum Fb^S — iF-^-dV^cy — O conferatur , reperic- 



r Ids^dq 



tur P — r'^''^^^^^ — Ndgd^v — Tdstjq ( ndx^—^dxdy—Tdsdq ^ .^^^ 



c fignificat numerum , cuius logarithmus eft i . Simi- 

 liter, fi formula propofita fuerit /Td^j, reperietur P 



__ r Idsdydq 



— f Jidx^-i-^dxds (^tdx^^dxdj^^ j^jc ^j fueritNz=» 



Ldx 



erit Vzn^ua- 



§. 24. Confideremus adhuc hanc vnicam formu 

 hm JXds^^dfdx'-'^-^ in qua X funclionem tan- 

 tum ipfius X dcnotat. Negledo igitur dx vt conftan- 

 ic, £rir Xa/r-.bW^-^fiX-i-dX^.bc^^.cN^^-h^X-^ 



S 2 2dX 



