So INVESTIGATIO CrRVAR. QJ^AE EFOLVTAE 



^. Ob arciis denique EM et EQ_ aeque amplos crit 

 V ~ Bf. Qiiamobrem habebnnair tres fequeiKes ^equa- 

 tiones : 



I. rdS — Kds . 



III. nSds^~rdr -\- bds . 

 quarum ,binae pofteriores ope primae transmutantur in has; 



II. nsds — — rdK—bds 

 III. nSdSzn^-Kdr^bdS. 



§. 47. Addamiii^ primum binas aequationes pofteriores 

 in forma priore , eritqiie fumma : 



. nscfS-h-nSdsiiz-KdK-rdr^Ifds-bdS 

 qnae integrata dat hanc aeqnationem 



znSsz::: ^aa — K^^ — r' -{- 2hs—2bS 

 feu K''-i-r''z=::2.a^ -{- 2b {s — S) —^nSs 

 Deinde addamus easdem aequationes in fbrma pofleriori, 

 erit nsds-^-nSdSzzi — rdK-Kdr-bds-^bdS cuius 

 integrale efl: ns^^nS''z:z.2a —2.Kr—2b {s-S) feu^Rr 

 zzz2a' ~2b[s-S) — n (/-f-S*J , quae cum illa coniunda 

 tum addendo tum fubtrahcndo praebet 



(r-|-R)':::=4^*-7? (/-fS)* atque 



{r-K)' = ^[s-S)-\-n[s-S)\ 

 quae aequationes ab il]i> , quas cafu praecedente inueni- 

 mus non differunt , nifi quod n habeat valorem nega-' 

 tioum. 



§. 48. Quodfi ergo ad curuam conftruendam faciamus 

 vt ante j + Szrp , j-S"^ ; r-{-R=:w, et r-Rz^i; 

 erit uzzzy{^aa-npp) et vzzzV^^bq+n^q) hincque per 

 aequationem primam rdSzzzz^Kds obtinebitur 



d p dq 



pcr 



