( 6o44 ) 
will deprive us of,) they fhould hatre contaraed, as heioti. 
cjateg in the (ame Freface^ the following particulars 
Th /r/?of thero, the Motion of He^iz;/ bodies j {hewing all 
the proprieties of this motion, whether it be that theBodics^ 
defceod by their own weighty or are inov'd by fome pulfioa 
of violence. Where he would give the reafon of that admi« 
rable augmentation and diminution of the Celerity of bodies, 
that pafs in their afcent and defcent through all the imaginable 
degrees of Tardity. On which occafion he would have dif- 
courfcd, that G^i/;7ei hath not fticw'd thofe proprieties but by 
fuppofiog a Definition which is contefted 5 and that Baliani 
undertook to give an other ProgrciBon to the Motion of thofe 
Bodies. Which two Authors having had their rcfpedive 
abettors, and whole Volumes of conteftations having been 
written about it between GaJJendm and Cazr^^ the whole bu- 
fioefs feemed to have been determined by three great Geome- 
tricians^ M. i%e/f/and theP. de Eilly having demonftrated, 
that the Progreffion of Ba/iam was impofB We j and M. Fermat 
having ftiew'd^ that there would need no lefs than a whole 
eternity for a Body that fliould, with this proportion of cc]e» 
rity^ defcend the height of one only foot. Whereupon the 
Learned feemed to have yielded to fuch regular demonftrati- 
ODS.- But it appears/ that P La/(?^t;er4furveDiag made it out, 
that not withftanding all thofe demonftrations, theProgrcffi* 
on c f Ealiam was very poffible and very natural 3 the manner 
wherewith he maintained it, having appeared fo fair^ that 
Femat hmkW was never able to gainfay it* All which the 
Author would have delivered in this ^r/2 ofthe/J?^r remaining 
partsj andfliew'd, that that firft weight, or that determined 
degree of celerity 5 on which Laloveras demonftration is 
grounded, cannot fubfifti Where alfo ftiould have been ex* 
plained, not only a Progreffion altogether like it, found ia 
the Motion of an Arm or Foot^or of lofturoents which we hold 
when we ftrike ^ but alfo an other kind of Progrcffion,(uch as 
we find irj Canon-buttet^ , or in Arrows fljot with a CraG- 
bow.^ To all which he would have added in the fame part an 
examiDation of the motion made upon Inclmed S^petRcies $ 
where would have oceur'd the demonftration 3 made alfo by 
