Non tantum prohibet, verum & confiftere propter >
Contraitis nimium fpatiis, mage proin penetrari 1833
Ut nequeant. Aries jam moenia frangit alienus,
Non penetrat, claufis jam portis ire nequimus,
Undaque non tranfit lapides, non v itra , ncc rera;
At liquor infmuat fe laxis almus o liv i,
Occupat intra etenim intervalla , vacantia qure fun t, 1840
Et non proinde luis oleum , aut penetrabile laxum eft
Particulis, neque funt Bacchi undarumque liquores ,
Uni quod valeant m ifceri, nec quia lymphis
Solvi quit falium natura , manentque priore
Lymphre au&u, aut aditus quia habent trans plurima texta
L I B E R D E C I M U S .
44P
fic unicus cafus e o ru m
c o in c i
d en tia:, vel fi plura p u n d a m a
te rix fint in eo d em p la n o , q u am
fit num erus u tiqu e fin itus ca
fu u m , in q u o u n u m q u o d p ia m
c prioribus incidat in aliud q u o d
piam c p o fte rio rib u s 5 n a m n u
merus p u n d o r u m fp atii in pla
n o u tro v is eft in fin itus fccuncli
ordinis ob b in as ejus d im en fion cs.
Porro n on p o te ft h aberi
c o m -
pcnctracio p u n d i m a t e r ix eum.
alio p u n d o m a te rix , nifi in cafu
c o n g ru c n tix
plani
tra n fe u n tis
per p rim um c u m p la n o tra n fe u n .
te per fe cu n d u m , q u i p r o q u o -
vis finito tem p o re c lt fin itu s .
Igitur n um erus ca fu um in q u i
bus nulla h ab e atu r c o m p c n c tra -
tio p u n d i m a te r ix cum a lio q u o
vis p u n d o m a te r ix , eft infini-
ties m ajor infinitate fecu n d i o r
dinis , q u am n um eru s c a f u u m ,
in quibus fcq u atu r a liq u a c om -
pcn ctratio : a d e o q u e , u b i a g i
tu r de
tranficu ^m a ffx trans
m a f ia m , im m o ctram de q u o
vis n um ero tranfituum , & m o
tu um quervis finito tem p o re c a n -
tirruatorum , #com p cn ctratio b i
n o ru m m a te rix p u n d o r u m q u o
ru m c u m q u e
erit
im p ro b a bilis
im probabili tale infinita fecundi
ord in is •
Si
con tin uaren tu r ii
m otus per to tam x c c v n it a t c m ,
F f
/ Ar-
n um eru s
c o n c u rfu u m p la n o r u m
n o n poffet evad ere nifi
infinitus
p rim i ord in is o b a n a lo g ia m te m
poris c u m lin ea fpatii h ab en te
u n icam d im en fion em : h in c a dh uc
fi agatu r d c to ta x te r n ita te . im -
probabilicas rem aneret i n f i n i t a .
Si p a r t ic u lx
e d e n t ^ qu id em
c x t e n lx , fed parvitatis ir a m e n fx r
poflet m inui ipiatum
m a g n itu
do in qu av is data ra tio n e rcfpc-
d u in tervallorum , q u ib u s a fc
in vicem d if t a r e n t , a d e o q u e im -
p robabtlitas
o c c u rfa u m
augeri
in q u a c u m q u e ra tio n e d ata u t
c u m q u e m a g n a • V e r u m fi ca
fin t p u n d a in c x te n fa ,
im p io -
h abilitas eft u tiqu e i n f i n i t a .
H in c
e t ia m
o ften d i p o te ft
n u llu m p u n d u m m a t e r ix o c c u
p a tu ru m
u n q u a m u llu m
p u n -
d u m fpatii , n o n
foliftn q u o d
aliu d m a t e r ix p u n d u m tu m o c
c u p e t , fed q u o d
u n q u a m a n te
o c c u p a v e r i t , vel u n q u a m alias
o c c u p a tu r u m fit aut ip fu m , a ut
u llu m a l i u d , q u o d lo n g e latius
p a t e t , q u a m e x c lu d o c o m p e n c -
e ra tio n is .
P o rro cx iis ,
q u x d i x i m u s ,
c o n fc q u itu r illud ,
fine v irib u s
rcpulfivis m a fla m q u a m v is p r x -
tc rv o la tu ra rr trans a liam m afla m
c u m apparen ti c o m p c n c t r a c io n e ,
fe d fine' ulla
corap cn ctratio n e
