go ^n^^ tf /BODIES. Chap. 9. 



ro'.ilic'ei ing how farrc die Agent chat moveth the funne, cauletf* 

 it to ,0 on in its journey, whiles the Agent that moveth a par- 

 ticular body, caufcih it to perform its motion. 



So that it is evident, that velocity is the effect of the fuper- 

 wiv.t vc'oci-.r proportion of the one Agent over a certain medium; in refpcft 

 :$. andtfm it o f t } ie proportion which another Agent hath to the lame medi- 



<annotbc urn- J i r i i- i L i f r 



nite. urn. And therefore, velocity is a quality by which one fucccf- 



fion is intrinfically dittingmflied from another : though our ex- 

 plication, ufeth to include time in the notions of velocity and 

 tardity. Velocity then , is the effect ( as we laid ) of more 

 ttrength in the Agent. And having before exprcfled, that ve- 

 locity is a kind of denficy; we find that this kind of dcnfity is 

 an excellency in fucceffion ; as permanent denfity, is an excel- 

 lency in the nature offubfiancej though an imperfection in the 

 nature of quantity ( by which we fee, that quantity is a kind 

 of bafe alloy added to fubftance. ) And out of this it is evi- 

 dent, that by how much the quicker the motion is in equall me- 

 diums, by fo much the agent is the perfe&er which caufeth it to 

 be (b quick. Wherefore, if the velocity ftiould afcend fb much as 

 to admit no proportion betweene the quickncfle of the one 

 and the tardity of the other, all other circumftances being even, 

 excepting the difference of the agents ; then there muft be no 

 proportion between the agents. Nor indeed can there be any 

 proportion between them though there were never fb great dif- 

 ferences in other circumftances, as long as thole differences be 

 within any proportion. And confequendy, you {ee that if one 

 agent be fuppofed to move in an infant, and another in tima ; 

 whatlbever other differences be in the bodies moved and in the 

 mediums ; neverthelcflc the agent which caufeth motion in an 

 inftanc will be infinite in refpeft of the agent which moveth in 

 time. Which is impoflfible : it being the nature of a body, thac 

 greater quantity of the fame thing haih greater virtue, then 

 lefle quantity hath j and therefore, for a body to have infinite 

 virtue, it mull have infinite magnitude. 



If any fliould fay the contra ry ; affirming thac infinite virtue 

 may be in a finite body;I ask,wnether in half that body(vverc in 

 divided)thc virtue would be infinite or no ? If he acknowledge 

 that it would not; I inferrc thence, that neither in the two parts 

 together there can be infinite virtue: for two fini.es cannot com- 



