PVKCTUM POSITIOKE DATUM 6h. ^j 



ct czr:i, {n v-::rzaz*-i-/7z-''', et haec cfl: prima aequa- 

 tio eariim quas Cel. Joh. Bernou/li dedit in folutio- 

 ncm Problcmatis, lcd rcliquae ejas acquationes me- 

 thodo hoc loco cxpolita non ciiciuntiir, earum ta- 

 men in locum ex infinities infinitis , quac omnes 

 problemati futis faciunt, adducam fcquentes. 



o P 3-1 ?-- P a-+-p ;d-: 2-+-p.ai 



i.az-\-l'jz-hO>'^ • • H-^T =« -f-f z 



io |3 P-i P-2 jJ a-»-,3 :a-: :-+-p.« 



2.rtS-|-^-f~ -f-t'.V.V2 . . -\-VX —Z -\--c- z 



o 3 3-' (3-1 (3-2 |3-2 p-2 p P a^+.,3 ;«.2 :_j.p.a 



Ex infinities infinitis tranfcentibus unam 



XI. Invenire curras AHD in quibus EC -\-F.R 

 facit ubique fummam conrtantem. Qjioniamf ^. IX. ) 

 Z'»rrQ-+-V'(Q(^-R) et z^-Q_-V(Q(l R) fict i^-l-s^ 

 -=(^, fac y)=a , erit Z^-f-s"— 2(^2^", quare 

 Q—c^ Surrogataquc hac litterae Q^acftimationc ia 

 aequationc Z^^-iQZ^iH-R— o , proveniet 2-^-2. «i* 

 H-Rzzo , et R^zic^^z^-z"-". Haec ctiam fuppcdi- 

 tat, infinities infinitas curvas quacitioni latibfacien- 

 tes, nam fi K—h-\-cm-h(in-^emm->[-fmn-\-gmi-\-8cc. 

 habebimus bz^=£yz^-' -\-dxz^- ' -\-eyyz^---\-fxrz'^'- 

 -f-^.v.vc*'- ' H- &c. ^—^.''z'"^^-^-'-^'^^ ?>ib,'d] e, /, 

 5&C — o, rt— I, et f in parte finillra aequationis 

 — 1, in partc vero dextra t— a, prodibit j — r.A--A-.v, 

 quae eft aequatio Cel. Job. Bernoiitn cum^ in ea nzz.i. 



Scd ipfa quoquc; — V..V-A-.V ex praeccdcntibus facile 



F 2 Uc- 



