AD DVO CENTRA ATTRACTL 175 

 pro angvilo obtinetur : 



"4^ — {>-nii)(rr-iLii).A 



pro tcmpore vcro r : 



j a-^ma (r r — nn)dr 



drL- -^. K • 



41. Etfi autcm his duobus cafibus fupcrficies, 

 in qua corpus motum fuum peragit facillime afit>- 

 gnatur ^ cius tamcn vcra. via , quam percurret , \ix 

 algcbraice defiairi polTe videtur, proptcrca quod an- 

 guli CP finum ex formulis inuentis algebraice ex- 

 primere non licet : neque tamen adhuc aficucrarc 

 aufim , hoc nonnifi transccndenter praeftari pofle. 

 Pro motu quidem in cUiptoide fi ponamus;;^^^,, ~M, 

 angulus CP ita fimplicius exprimitur vt fit ; 



jA\ d 5 ^n n — s ;; V M 



"'r' (1 -ssjvf.vr, -is)(n — s)a_(-B(i — sO('!-+-i;'— M(;;n — ss)?5 



vbi quidem obferuo fi fit Brzo, quo quidem cafu 

 integrale aliunde patet fore t 



icof(^-Cl);-|-(;i«-i)fin {^-(^.y = ^j^f feu 

 cof . {^-^^^'^tdvT^Tir^t'— fi"e 



^^•\,h ^l - -^{XAnn-ijn.ii-ii) «-'■ ""-IS 4^J — V:A-(rin-i)M;(,-s5) • 



42. In gencre etiam , fi fncrit vel Acro \rel 

 B~o, quoniam motus corporis ad vnicum ccntrum 

 virium attraifti alg^braice aflignari poteft , necefle 

 eft vf formulae nolirae intcgrationem admittant , 

 ctianifi ratio integrandi minus pertpiciatur. Qiiani 

 ob rcm hic iple calus haud contemnendum vfum 



in 



