= (105) = 



terea vero hic crit moncndum, ctiam ipfas vires follicitantes P 

 et Q vtcunqiie a temporc t pendcrc pofle. 



§. 4. His cxpofitis fccundum pnicccpta pro motu hu- 

 ius fili tradita cx viribus follicitantibus dcriucntur ifti valorcs: 



vbi g dcnotat altitudincm hipTus grauium pro vno minuto fc- 

 cundo, fiquidcm tcmpus t in minutis fccundis exprimcrc hi- 

 hucrit. Tum vcro hic h'ttcra s non fohmi nobis longitudincm 

 arcus E Y fcd ctiam cius pondus dcnotarc afiuniitur, quando- 

 quidcm filo pcr totam longitudincm eandcm crailiticm tribuimus. 



§. 5. Pcr ha? nutcm quantitatcs deriuatas P^ ct Q^ to- 

 tus fih motus ex hac acquatione fatis^fimphci inucftigari dcbct 



(|2)/Fa.--(ii)/Q^a,r=c. 



Tn quibus formuhs intcgrah'bus fohi quantitas .r pro variabih cft 

 habcnda, tcmpore ; manentc conflante. Hinc igitur fi loco P^ 

 et Q^ fiibdituamus corum valorcs, acquatio noiha pro motu 

 dctcrminando crit .riuJno-i/hih mv 



(J->)/P^.r-(L^)/Qa.zzz-L (i2)/a. (^_^)_^L (if)/a.(^>). 



Practcrca vcro fi tcnfio fih hoc tcmporc in pundo Y ponatur 

 ~ T, crit 



T = - (;;-J)/P D . _ (^)/Q ,-) ,, + .V (jp/a , (1^;) 



§. 6. Qnod fi cr^^o fiinm a nullis planc viribus fol- 



licitari ponanui^, ita vt motus fiii flcxilis fupcr plano iiorizon- 



tali vtcunqiic proicdi dctcrminari dcbcat, ob vircs P — o cc 



Noua A{ia Acail. Iwp. Sc 1. II. Q p — 



