gravity. And it is moreover evident, that the m6tiohof 

 a rocket can never become uniform Undtr Uriy law of resist* 

 ance whatever. 



Pro?. 7. 



All things rimaining as in the &th Proposition : to find thd Velocity and 

 Velocity and Space described by the Rocket, when it is in* ^P'**^® ^®* 

 Jiuencedonly by the impelling Force qfthe Composition and rocket fr©ni 



the Resistance of the Medium. the impulse «f 



its com position 

 and resictance 



Here, gravity not acting, the acdeleriitive forc6 Of the °^ **^« °***^* 



rocket at the end of the time I will be ■! — *» *~ ? M 



[am-^cl] b* 



as determined in I*rop. 5. Therefore <£» iS 2 gft H^ 



{sned^b*^Rv*),oaat , . . _ 



(7^"3T7)T6^ ~ (putting^ ziiagsned'b*, 



k zz 2 a^ R, I :z amb*y and p = cb*) "J ~ ; and 



v t 1 



k__L"i ^ r-~;> thereof the fluent is ' "■ - ' « hyp. Idg. 



-^ 2.(AA)* 



\ k J t ft 'X 



/A si = - -r-byp.l«g.(-- --Mwhicbjwhen 



(t) -'' ^ ^ '^ 



« ::: and I s 0, is o 2£ -.- — , hyp. log.*- : therefore the 



P P 



correct fluent is ->--^. hyp. log. 7-7^-7--^'*** iS -*J* 



* J hyp. log — hyp. log. f^ -* A?^ ^ • ^yP-loj* 



7 ► : tnd henc« by the natttfi ol logs. 



\ ■ ' 



