Chap; 9- */*7>rt//7?*/BODIES. 



degree of celerity, but it muft palfc through all the degree* of reft to any de- 



celerity that ire below the obtained degree. And the like is, in 



pafling from any lefler degree of velocky unco a greater : beeaufe IT, 



it muft paflc through all the intermediate degrees of velocity. i e j 



For by the declaration of velocity, which we have even now , ut 



made, we ice that there is as much refinance in the medium to intermediate 1 '" 



be overcome with fneed, ts there is for it to be overcome in re- Degrees, which 



j f L r f i r , arc bclow thc 



gard of the quantity ; or line ot extent of it : becaufe fas we obcaincd degree 



have fa id,) the force of the Agent in coumerpoifcs, oifght to be 

 encreafed as much as the line of extent of the medium, which 

 is to be overcome by the Agent in equall time, doth exceed the 

 line of extent of the medium, along which the rcfiftant body i$ 

 to be moved. Wherefbre.it being proved that no line of extent 

 can be overcome in an inftant, it followeth, that no defect of 

 velocity which requireth as great a fuperproportion in the caufe, 

 ran be overcome likcwife in an inftant. 



And by the fame rcafon by which we prove that a moveabl* 

 cannot be drawn in an inflant from a lower degree of velocity 

 to a higher, it is with no lefle evidence concluded th*t no de- 

 gree of velocity can be attained in an inftant : for divide that 

 degree of velocity mto two. halrV, and if the Agdnt had over- 

 come the one halfe, be could not overcome the other half m an 

 inftant : much leffe therefore is he able to overcome the whole 

 (that is, to reduce the moveable from quiet to the faid degree f 

 velocity) in an inftant. 



Another reafon may be, becaufe (he movers tkemiclves (fuch 

 movers as we treat of here) arc bodies likewife moved, and do 

 confift of parts : whereof not every one part, but a competent 

 number of them* doth make the moving body to be a fit 

 Agent able to move the pre>pofcd body in a propofed de- 

 gree of celerity. Now this Agent meeting wich refinance 

 in the moveable, and not being in the utmoft extremity of 

 denlity , but condenfablc yet further, ( bccaufe it is a bo- 

 dy;) and that'cvery refinance ( be it never fo imall ) doth 

 work fomething upon the mover (though never to hard) 

 to condcnfe it ; the parti of the mover that *re torivefcomc 

 this reliance in the moveable , mutt ; ( to work tlsat ef- 

 fcc\ ) be condcnfed and brought together ts dole as 

 is needfull, by this refinance of the movcablt to the mo- 



F i vcr : 



