48» D E M O T V 



tur , quoni.im \idimiis ab eius cnrunminc motum 

 noii pcitiirbari. Sit ergo eius iimpl.tuJo conlluis 



— ^. Ad hoc autem problcma rciol lenJum vti 

 eoni.enict mLthodo poftcrion , qua flatus ucris in 

 tu'>o quicu iquc cum Iktu initiali comparatnr. bo- 

 lutionem er^o ex problemate 4.5 pctamii^ qiiem in 

 fi em confhieremus aeri;» particulam , quae in tio , 

 vbi erat tcmpus t — Q, fucrit iu S, ac ponamus 

 fp.itiu'!! A S — S, e us partici'1-ie vcro dcnlitatem 



— Q; at amplitudo tubi , qu.ie ibi pofita crat — H 

 hic nobis eft — ff. lam elapCo temporc —i ca.1cm 

 particula perucncrit in s , iVatuaturque (patium 

 As — s. eius dcnfit.is —(7, preilio — />, cr cileri- 

 tas, rccundu'Ti dircdlionem j B :=^ a — ij-p aiiiplitu- 

 dine tub' exifte te u — /! His pjifits pr ma aequa- 

 tio ibi inucnta praLbet ^(^^) — Q,- deinde quia ob 

 tubum horizontul ter podtum grauitas motum i-.on 

 afficit , altera aequatio ibi inuenta hanc induet tor- 

 mam ?Xi£ — — <// ^ lii) , quae cudi ten pus hic 

 vt conrtans fpcd tur , ita repracfcntan potcft 



Tbi memiiiiffj iuuabit quant tates f), q, s fun.5l'ones 

 effc du.irum variabilium S ct / quantitat«m Q_ viro 

 tantum funcT: onen ipfius S. Aciib autem natnra hic 

 practcrca introJucatur , qua nouiiiui> preirioicm p 

 perpL.ru() deiifitati q cfTc proportionalcm ^ vn.'e fi 

 dcnfitati datae b conueni.it prclfjo z:: o, crit /)— '-i, 

 ex quo ptifltrjor aeuatio fit 



prima. 



