FLVIDORVM LINEARI. 255 



Ad hunc cakulum expediendum vocemus B iVl rz: jv 

 vt fit B N — / — a: eritque M jx — x fin. e et N j/ 

 — (/ — A-Oria.^,- vade aequatio difFerentialis erit 



quae per 2 d x multiplicata et integrata praebet: 



/. ^^^: + 2g(2fe.r + .ra^rin.£-|-(/-A')Yin^)=i:2^//. 



Quare celeritas venae li? zn — ^ ; fiquidem mm 



vcrfui C ferri ponamus erit 



^ zzV LM {ff-^.kx-xxdn.e-il-xyCm.^) feu 

 r::if = V^(/-//fin.^-2a--i-2/A;rin.^-.v4rin.e-hfin.^)) 



\nde intclligimus celeritatem euancfcere , cum fuerit 



Jin. £ -i~Jin. ( 



maxima autem fict vbi "^— ^^^{"-l? haecque ce- 

 leritas maxima erit — V^(# + kk-^^kLfhu^_--iifiru^. 



Pro tempore vero habebinnusi '-n 



l V (//— i ljin.i —2kx~\-2l xfin. ^ — xx ifm. £ -hfin.^)} 



Vnde infPCrron/^r» r-oUiffimnc - 



■^ " /m. 6 -h/z.x. ^ ^ — ^' 



exiaente X ri V '-^ (fin. £ + fin. ^). 



Quodfi iam pro tubi pundo z ponamus B z z=: z 

 erit preflio ibidem 



p zn ( ^ -H xfin. £) C Z - -0! -4- z) ^ , ( ?-4- j:)//rt.^ ^ <^; _. ;2 ) — S fl U . g 



At pro puncfto z^ in altero ramo B C poaendo 

 B. s' :z: :si' crit 



JHo 



