^ ab.k-k'^ \b^k-k ) ' ■> nincque 



^/ __ ^j-d k'{ d — d' ) + h d k { d'— d) ~b d^ 



ab ab[k — fe' I ab{k — k ) * 



Tum vero li pendulum a ftatu hoc initiali ad motum conci* 

 tetur, pro quouis tempore t inde elapio habebimus elongationeR 



-vizr (^flfin. ' ? H-XO-4-<2:'flrin. (?-f-XO i 

 et celeritates angulares 



|4zz:(£x(^-^)cor.(r-i-xo-i-e:'x'(F-^)cor.(r-t-xOr 



l^ z= e X « cof. ( ? -H X -^ ^' >^^ « cof. ( r -f- X • 



Applicatio ad cafum quendam determinatum. 



§. 13. Confideremus nunc primum cafum ab lil. Ber- 

 ftoiflli in DifTertatione citata tradatum , fintque penduli fila 

 a-b-i^js lin. parif , pondus vero corporis fuperioris Ar i(S 

 fcmi-vnciar. inferioris B = 9 fem<-vnciar. eritque fi-W^ k- 4.40, 

 ib^^riio linear. parif vnde ob ^1:15^ ped. par. =12178 lin. 

 crit X zr 3, 14*^4 ct X^=z <S, 2928 zi: 2 X , vnde tempus vnius 

 ofcillationis pro corpusculo fuperiore A erit ^ =: o, 998 minuf. 

 fecund. hoc efl: vnius proxime minuti fecundi ; inferioris vero 

 Tak VI corporis B tempus ofcillationis erit femiminuti fecundi. His 

 l%- 3. ftabilitis repraclcntet figura tertia huius penduli fl:atum initia- 

 lem , fitque pondusculum A a fitu verticali O V didudum ad 

 diftantiam A P = 48 lin. dum alterum pondus B libere pendet, 

 ita vt etiam B Q 1=1 48 hn. vnde ob d^ — d — ^^^ Yn\. crit 

 € — 57stl53 atque C^ =1 — -^j.^lj^ , confequenter 



^ - //, [ fin. ( ?+ X O 4- fin. ( ?-|- X' O ] i 

 vi r /j [ fin. ( r -h X O — fin. ( r-t- X'' O ] ; 

 |-f = ,|t X [ cof. ( r -f- % , ) _+- 2 cof. ( ? -I- X^ r ) ] J 



|J r ,U [ cof. ( 7 -j- X O — 2 cof ( : -i- X^ O ] »• 



C"ac 



