laa EXJMEK JRTlFiai KAVIS 



bitam altitudini —v. Cum igitur refiftentia fit vt qua- 

 dratum celeritatis , ponatur ea =: | ; fietque dvznpdx-' 

 ^. Ponatur tempus quo ex A in P peruenerit— /, erit 

 dt zr % et dx — ^/ y-y quo valore loco dx fubftituto 

 liabebimus kdv — [kp—v)dt^^v. S\tV bzic o^tV v-u^ 

 ■vt irrationalitas tollatur, erit zkdu—{kp—m)dt. Quia 

 igitur fi t — o fit u~ c y integrale huius aequationis 

 etiamfi per logarithmos exhiberi polfet , tamen expediet 

 per feriem fequenti modo exprimere : 

 u — c -{- At ~i- Btt -\- Cp -i- T>t* -i- etc. 

 ex qua fit : 



'■^f z= 2 A^ -+- ^Bkt -h eCktt -H oDkt' -f- etc 

 kp — uu -^zz kp—2Act — nBctt — zCct^ 



-cc' -AAtt-nABt'^^'^' 

 Coaequatio coefficientium igitur dabit : 



Ergo C z=z ^-4-3 - .^ 



cr»7. «IP £!P_L_ii . ££S £!^_i_£i 



leu u — ^^^;j — ^-^^^^^ etc. 



Ex his ergo oritur celeritas nauis quaefita finito tempore t'. 



■4-S(='?;'-T-t-^)-<-"c. 



§. 29. Simili modo fi finito hoc tempore t cele- 



ritas nauis antrorfum ponatur =: C vt fit C — « , tum- 



que vis P nauem retrahat tempore T , fi elapfo hoc 



*empore T celeritas nauis refidua ponatur ~ U, reperietur 



U 



