AFOVATIONIS. 3 



Monftrabo deinceps, quomodo per methodnm 

 praeterita aeftate exhibitam eadem aequatio tradari de- 

 beat ; ac deniqne tertium addam modum quo aequatio 

 refolui poteft, in difficilioribus qiioque egregio \fui fu- 

 turum. 



1. Fiant x~p-\-h, etj=rr/-|-/, ubi/)et ^ funt va- 

 riabiles, h et i vero quantitates conftantes , furrogando- 

 que in aequatione A-—adx-i'kIj-^cxcIX'-\-fxdy-{-e)'dx 

 '-\-gydy , in locum indetcrminatarum .r et y et elcmen- 

 torum earumi/.r, ct dy^ earum aeftimationes modo as- 

 fumtas earumque elementa, mutabitur aequatio A,in fe- 

 quentemB — - -i-ch dp-^-fhdq-^cpdp-i-eqdp-i-fpdq-i^ 



-\-ei -^gi 



gqdqzzo. 



2. Vt vero in aequatione B, duo prlma membra 

 euanefcant, oportet vt fiant ch-\-ei-\- a^nio, ttfh-\-gi 

 H-fcOj ex qui bus eliciuntur valores litterarum affumti- 

 imumh, et?, nempe /^^^^Bj, ^t i-^|;ipra vero 

 aequatio B abit in fequentem C-- cpdp-\-eqdp-\-fpdq 

 H-gqdq zzo 



3. Adulteriorem redudlionem aequationis C, as- 

 fumo qzzkp-^-t^ ubi t efl iterum variabilis k vero con- 

 ftans , adeo vt fit dqrzkdp-{-dt . Suffedis enim in ae- 

 quatione C, kp-^ty ct kdp-\-dt , pro q et dq refpediue, 



A 2. reliir- 



