4f4 DE PERTVRBATIONE MOTVS 



tum , qiind vt quc maxime efllt nblurdum , vcrum 

 pcrpcndendum tll , hoc cafu angulum p, abire in t 

 et quia iam (upra vidimus ob conltantes inttgratio- 

 num , ingrcdi talem formam mdefiaitam A -\- h ( 

 ►+- C cof. ; -f- D fin. f , manifeltum elt illud infini- 

 tum conlhntibus C vel D tolli polTe. Ccterum hic 

 ipfo cafus ;« — I peculiarem merctur reiohitionem , 

 tum enim erit angulus p — t conlhns qui fit a, vq- 

 dc integrando erit 

 /fl'n2Vco(./-f-Ufin./)i^J|(Ufin.a-;con(p4-r)) 

 /a';(2Vfin./-Ucoi:/)-H(Ucof.a-:fin.(p4-0) 

 quamobrem hoc cafu confequimur 

 X-H(2cofp + U.fin. (/+«)-, corp)^;-2(Icofp+L/.fin.(/+a)) 

 Y'-if(-fin.;)+/cof(H-a;-;fin.p)-°-|(-ifin.;;-^/cof.(/+a)> 

 Vbi notandum his formuhs 



-; / fin. (/ 4- a) et / cof (/ + a) 

 fnotum iiphclii tcrrae innui. 



28. nadciuis tantum ad motum mcdium Ve- 

 neris refpexinus neglcda cxcentricitate , intcrim ta- 

 men operac prctium eft ctiain huius rationcm ha- 

 bcre , fit igifur k ifta cxctntricitas et anguhis q 

 anomalia n edia Veneris fiatque dq^ndt, quu po- 

 fito habebimus vti conlbt 



V — ^ (r -I- K col, q) ct (p — (^ — 2 K fi \ ,7, 

 dcnotantc ^ longitudincm n.cdiani , ita At lit ^ — /-^, 

 qnuni crgo lam fit 



^ — t ZLp — ZK fin. q 



crit 



