43
?
Ut * magnis notum in fpatiis gravitatis ubique
Diffundi Vires, fpatiis his usque minutis
Sic opus eft demum vires has*, ante trahentes,
Pellentes fieri verfa regione movendi; .
Proin opus eft quendam in medio confidere limitem 1605
Inter utramque plagam* Quin &confifterc limes
Non flmplex queat h ic ; nam cum per mu lta, priufquam
Effent in tenues aurarum verlli vapores,
Corpora, viderimus vi magna hrerere trahente
Particulas, poft disjungi pellente v ic iflim ;
1610
Terno opus eft faltem mutari limite v ires ,
Et quo particulas fit tranfitus a gravitate
L I B E R D E C I M U S .
E
qu ad rati velocitatis e xp rim i ab a-
rca cu rv a :, cujus a b fc ilfx e xp ri
m ant fpatia , ordinata: e xp rim an t
v ire s. H in c ad c x iin g u c n d u m in
finitum d ife rim e n , req u iritu r cur
va vitium habens a rcam infinitam :
porro curva p oteft h abere o rd in a
tas crcfccntcs in in fin it u m ,
arcam lon gitud in is q u id em in fin i
ta: , fed valoris ta n tu m m o d o fin i
t i , quod a c c id it , q u o tie fe u m q u e
ordinata: crcfcunc in ra tio n e m i
nore , quam fic fim plex ratio a b -
fcilfarum reciproca j fed haec pa
tebunt m e l iu s , ubi e x p rim e tu r
vis h x c ipfa per a b fe iflis ,
te
o r
dinatas ad cu rvam q u a n d a m .
1 Inventa vi repulfiva > q u x
i nminutis in in fin itum diftantiis
augetur in infinitum , q u x r it u r
h i c , quid a c c id a t , u b i d ifta n tix
a u g e n t u r . U tiq u e in m a g n is d i-
f t a m iis , in quibus p la n e tx ,
te
c o m e tx m o v e n tu r , h a b e tu r v is
a ttr a d iv a , n im irum gra v ita s g e
neralis , quam fufe in fu p e rio re
t o m o N o fte r d em o n ftra vit c u m
N e v v to n o ,a d iq u a m p e rtin e t e tiam
n o ftro rum c o rp o ru m gra v ita s in
T e r r a m , S e q u a m ibi o ften d im u s
effe m u tu am inter om n es p a rtic u
las m a t e r i x . Q u a r e neceflario d e
b et alicubi haberi tranfitus a b illa
•ropulfionc a gen te in m inim is di
ftantiis ad h an c a ttr a ftio n e m a gen -
c
Scfe
te m in m a x im is . H a b e b itu r ig itu r
fol tem un us lim es in ter vires re-
pulfivas ,
te
a ccraftiva s ejus g e n e
ris , cu ju s fu p ra v id im u s cx N e v v -
to n o lim item , p er q u e m e c o n
trario tranfibacur ab a tt r a ft io n e
in m in o r ib u s diftantiis , ad re-
p u llio n cm in m a j o r i b u s ,
te
q u e m
c om p arav im u s c u m m u ta tio n e fa -
<fta in a lg e b ra p o fitiv o ru in in n e
g a tiv a p o ft e v a n c fc c n t ia m .
V e r u m n ec unicus h ab eri d e b e t
e ju fm o d i lim es , fed fa ltem tres:
n a m in m in im is d iftan tiis h a b e tu r
re p u lfio illa d ccrcfccn s ipfis a u f tis ,
tu m h a b e tu r a ttr a & io , c u m p a r-
c icu lx , q u x c o h x r e n t , fc q u a n tu r
c a s , c u m q u ib u s c o h x r e n t , ubi
h x m an u a p p r e h e n fx t r a h a n tu r :
deinde in v a p o r u m g e n e ra tio n e ,
ac in em iflio n e lum in is , fu cccd u n c
in gen tes v ire s r c p u lfiv x , ac d ein
d e i n g r a v ita te g e n e ra li a c tr a d li-
v x : en ig it u r lim ites fa ltem tres.
P o r r o h a b e ri d eb e n t lim ites m u l
to p lu re s, im m o im m e n fu s e o r u m
n u m e ru s e x h ib e tu r a c o r p o r ib u s
m o llib u sfln iis en im p a r t ic u lx c u m
re fp e ftiv a q u iete re m a n a n t in p lu
rim is in te r fc a d m o d u m d iverfis
d ifta n tiis ; n im ir u m p o ft c o m p r e f .
fiones p lu r i m a s .
Q u a r e lim ite s
e ju fm o d i d eb en t efle q u a m p lu r im i,
H u c u fq u e ig it u r
n o ftr a h x c
analyfis c o n os p e r d u x i t , ut de-
