->3^.€ ) -^o ( ^- 



tuantur, prodibunt fcqucntes nouac aequationcs: 



_• (i-t-m)(dd 1- — vd <j!*) — _ _!!! i_ £:1:2! _ "" — rof tt * 



•* • JJ> — i,v "T" L» u^ '/» 



Hoc fcilicct modo non folum coordinatas x ct j', fcd ctiam 

 angulorum et tam finus quam cofinus ex calcu- 

 lo cxpulimus; interim tamcn hi ambo auguli ia angulo Tf 

 coutincncur, fiquidcm eft ?/ — (J) — ^. 



§. 10. Quoniam in his duabus formulis innume- 

 rae diucrfae motuum fpccics contincntur , videamus anic 

 omnia, vtrum inter eas ciusmcxJi dcrur fpecics, qua Luna 

 circa Tcrram vniformitcr in circnlo renolui quc.it , ncc 

 nc ? Hunc in fincm ponamus diltanriam Lunae a terra , 

 quac debct effc conflans, v — .r, ct cum cius ccleritas an- 

 gularis fit ~^^, faciamus ^^^ — « , ira vt fit d (p — n d 9 

 tt dd(^z:io. His autem valoribus introdu(fli$ ambae no- 

 ftrac aequationes cuadent: 



i". - annii -^m) — — p^-\-'-^- ^-r- cof. ?/ ct 



z.\ o — — ^i^ + fin. >! , vbi crit 

 K ~ y ( I — 2 fl cof 7/ -h fl a). 



§. II, Fx fccunda acquatinnc ftatim patet, cam 

 fubfiftcrc non pofTc , nifi fit vcl (\x).y\-o, vel « z i. At 

 vcro poflcrius ficri ncquit, nifi anguhis >) fit condans, prop- 

 tcrca quod cHb dcbcrct cof tj — [a. Qiiia vcro cft 

 d ^ - n d & y idcoquc Cp — « , crit ;/ — («— i ) d , qui 

 anguhis conllans c(i'c ncquit, nifi /; — i. Hic antcm cafus 

 iam in priorc continctur , qno cffc dcbct fin. 7/ — o, id 

 quod dupiici modo ficri potcl!, vcl (nmcndo 7/ — o, vcl 

 37 — 180% Qu.irc cum lit tf — {n — i) $, priorc calu dtbct 



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