S o 1 u t i o . 



Ciim initio nxis gyrationis fuerit horizontnlis , erit 

 f ~: 2. O — 90\ Dcnotante ergo e celeritateni progrelfi- 

 vam feciindiim dirc(flionL'm DIE, et e cclcrifatem angii- 

 larcm ciica nxcm lO, in fenfiim ZKTD, fit pro pnnc- 

 to () anmihii DZO — f), manente / rndio globi ec 

 M a a momcnto inertiae. Ex his erat initio ctkritas 

 xaucns 



k — y{e€-2eefCin.^-{-ttff) 



et pro cins diredione IQ angnius D Z Q zr <^ , Yt fit 

 fin. ^ - ziif-il et cof. ^ - L^^. 



His pro flaru initiali conflitiitis, elapfo tempore t cen- 

 tnim giobi defcripferit viam G I, vt iam fit in I, vbi eius 

 celeritas fccundum I R erit TaJ» IV. 



'v- V {e e -\- tLuJJ^f!l-J>^=-^ ^ ^^ $ g gt t), ^'^' ^- 



"vnde pofitis coordinatis G X zi: X, et X I — Y, ob 



tane. E I R = tang. Cp — __=L-L«:iI^_L£ii^ — . 

 erlt 



dX-edt-^-i^'J{sfrin.f)-e) et 

 ^Y==jLl1ai±1^^ ideoque 



G X = X - e ? + LLLt (e/fin. ^ - e) et 



X\ = Y-~^-^'J cof.^. 



Tum vcro pro motu gyratorio, qui iam fiat in fenfum Flg. a. 

 Z K T D celcrirate angulari — a circa pnlum O, exiHencc 

 Z O ir J , P Z O -- e ec D Z Q z= Cp -f- ^ , vbi I Q retert 

 diredionem celcrititis radentis, quia conitantcr ell Cp-t-i;-^, 

 feu uircdio IQ conltans, erit 



R 3 tang. 



