(i5o) == 



§. 10. Facile autem patet iftud integrale in genere 

 Jllitcr exhiberi non poiTe, nifi praefixo figno integnuionis: erit 

 igitur tcmpus vnius dimidiae olcillationis 



t I r y'{hk -\- a a -V - e c — a a c coj. (p ) ^) (h ^ W irr O j 



Verum fi ofcillationes fuerint valde paruae, ilhid tempus faci» 

 le ad quadraturam circuli reuocatur, quem ergo calum hic ao 

 curatius euoluamus. Cum fit cof. Cj) m: i — 2 fin. 2 Cp* , fimi* 

 liqne modo cof. -^ — i — 2 fin. l ^" , ponamus fin. l^ ~ If et 

 fln. n Cp ~ .f , vt fit cof. c, zrz 1 — 2 b b et cof (p — i — 2 i .f , 

 tum vero erit 3 (I) m — ~~ — , . Ouod fi iam breu. gr. fla- 



tuamus kk -}- (a — c/ ziz.h h formula nollra induet hanc for- 

 mam : 



v'2 a g •' y ( I — s s) [b b — f7) ' 



vbi notetur cffc b quantita^em valde paruam , et tempus fe- 

 mi-ofcillationis rcpertum iri , fl integralc ab j~o vsque ad 

 s — b extendatur. 



§. Ti. Cnm igitur b rcfpe^ffu vnitatis fit fradio valde 

 exigua, et variabilis s fratflioncm b nunquam exccdcrc queaf, 

 proxime erit 



— zz: I + 2 j j' et 



V ( I — J s ) 



l^ , ^ ,. r r\ ?, I ^n CS ! 



Y(hh-\-4,ac-s s) = h • "-"''' 



cx his valoribus crit 



' — vTTk J vibb-ss) ^'^ ^ — rb — '^ -^^ ' 

 ficque intco.rale conflat cx duabus partibus , quarum poflcrior 

 prac priorc cfl: quafi infinitc parua idcoqnc ita rcpraefcntari potel^: 



, ^h r d S I ^a c -i- h h r s S 9 S 



V^i-a^g J V[hb —77) '2 h\ ia g J t'(&'6'— . y J) ' 



\bi manifcftum cf^ cffc f-^TrP — A fin. ; , vndc , fumto 



