24 De successiva mutatione 



^v 1 -*- v v </<> * = i * </r l ( I ^ ■+■ B) (i - }) - CQ+C7?) ; 



ubi ut parvitas mafias C pra: A -\- B clarius in oculos 



incu'rrat ponamus ^ = /z , ita uc n fit fra&io 



quam minima : induentque noftrx arquationes has 



formas : 



v*d<p t = xcL{A-><-B)dt>-{G — nP); 



dv l + vvc/<p = '3.aL{A+-B)dt l & — j — nQ + riR). 



XXX. 



Hinc jam commode exui poteft confideratio tempuf- 

 culi dj.-, fietque 



(G_ nP){dv'-t-vvdp)=sv*d^{{ — $-t-n(R~Q))i 



unde colligitur 



dv>{G — nP) = v<J<?*{±-} + n{R-Q)-[2=lL)i 



hincque porro 



±y[G-nP) = d<!^{\-^n{R-(Z)->^3)- > 



qua .xquatione relatio inter differentialta dv & d<p ex- 

 primitur, reliqua autem jam fupra ad dq> funt redufta: 

 turn vero nunc etiam tempufculum dt eodem revo- 

 catur ope a:quationis 



vvdi =dty/ 2 *(A-hB) {G — n P)i 



fi fra&io n plane evanefceret , hinc cognita: regular Ke- 

 pleriana: deduci folent. 



XXXI. 



Quo nunc moms determinationem ad fimilitudi- 

 nem regularum Keplerianarum perducamus, diftantix 



AZ = v 



