'^U^ ) 348 ( ^??<- 



clemciuis dirtantia OYri> ita determinatur, vt fit v r — ^-r-ii 

 Denique vero ex indole motus regularis conftar, vti dein- 

 ceps clarius patebit , rationem tcmporis ita in calculum 

 ingredi, vt fit ^(?--=^. 



§. 57. Cum igitur fit J^^ =r ^ , vltima conditio 

 ftatim dat V f~ v v ^ , vnde eri^o Hatim parametcr orbi- 

 tae innote(cit, dum eft fzzv^^t^ Hinc igitur erit v — — ^^— . 

 ideoque i -f- g cof. u — -y' ^'. Porro vcro quia quantita- 

 tes f ct 2 funt conftantes, differentiatio formulae v r —-^ — 

 d.bit ^ i; = (M^l:^ , vnde cum £.t d ^ - ?-^f^ ~ l^<-,ob 

 ^ coiiftans , erit J-^rr« — ^-^, vbi loco V/ pofito va- 

 lore vv'^, fiet tizn—^. Ante autem iam vidimus effe 

 j 4- ^ cof. w — i'' ^% ex quibus duabus acquationjbus) binae 

 quantitates incognitae g et w quaeri dcbent. 



§. 5 8. Cum fg'tur fit gC\n. ts^- u v v '^ et g cof. oj 

 rrri;'^'— I, colligitur fore fang. w — ^-^-. Sicque de- 

 terniinabitur anomalia vera o) , qua inuenta prb loco pe- 

 rihelii liabcbitur tt — Cp— to. Tum vero hinc etiain in- 

 notcfcit excentricitas grr 'i^Hi!i. Sicquc omnia quatuor 

 clementa: fcil. /, g, tu et tt funr rcpcrta , quibus oibita , 

 qu.^e quaeritur, perfe^fle determinaun. 



Yab X. § 59' Hoc problemate praeminb, contemplemur 



Fig. 2 cafum , quo corpus in Y praetcr vim folarem ~ ^, in 

 dircffionc Y agcntem, (oiricitatur a duabus viiibiis Y/)r/> 

 et Y q ±1 q y quandoquidem 'effc<flus tertiae vis r iain eft 

 dercfnVinatas. Ponamns igitur vt (upra binas coordinatas 

 b Xrr ^'c't-X Y^rrjc , St fit 1- V — X X -\-yy., lum vero 



hic 



