29^ DE MOTPrTAVTOCHROKO 



s^d^ — (g— t'Jd CP/t<i. $ • 



quae tninsfc^rmabitiir in hiinc ; 



qiid motus penduli a gnuiitate perturbntiib , idcoque iplb 

 motus olcillatorius determinabitur. Qiiia vcro in hac 

 acquatione ditfercntiale dt ponitur conftans , ca pcr d.(^ 

 multiphcctur , atque inregrctur , fic prodibit : 

 [a-.syd(^'-{-kkd<^'z=.[dC~dej\a-s)d(\) fin. Cp «*?. 



vbi quia cuiua diredlrix A M B tanquani dnta nflrumittir 

 intcgralc f{a — s)d(p fin. (|) ob relationcm inter j et (j!> 

 datam cxhiberi potcrit : ita autem id accepi , ponamus , 

 \t euancfcat pofito i~o, quo calii etiam fit Cp:i^o.-, 

 eritquc 



. , dtv :tft -t-{c— yy») 



/. " * — V(C— /la— s)a^//«.T)' 



§. 18. Cum fit ahitudo celcritati dcbita 1'— ^^— 

 erit nunc i; — ^i^[^V)»' 7 <l"''c cxprclho ad (latum 

 initialem in fitu pcnduh vcrticali A C D trans.(er:ttur , vbi 

 fit .f := o • ct /(« — i)/^Cp fin •(!> — o. Qiiare cum hoc 

 ftatu fit vrzby erit l/ zn -^^—-^ ^ vndc loco conflantis c 

 ctleritas initialis V ^ in calculum introduci potcrit. Sit 

 D ccntrum ofcillationis pcnduli in fitu vcrticai; , crit ob 

 AC— ^, CD— -j- ideoque AD =: "—~^ , qiio valorc 

 fubftituto habcbitur b zr -j—. Qiiod fi porro curuac 

 dcfcriptae C G ponatur ablcilfa CQ m.v , ob G^;,'-— (<7-iyc|), 

 ct rccfliim GM iid ci;ru:mi CG no:m:iUm ciitlin. GjMS 



— fin. <|) — ^g — ~j, i ideoque dx— {a-s)d(p fin. 



et 



