Denique fupremo jam crure, quod ufque.propeaxem
Procurrit, puppifque ve lu t, fua littora rad it,
2560
(Quandoquidem gravibus leges dat rebus ibidem,
Ipfa audire fac t gravitatis caula, velut fit
Ipfa alia a prim is. Diverfis unica fpiris
Dudibus .& vari:s li.ec tam diverfa creavit,
L I B E R D E C I M U
S.
499
Hxc varia, in rebus qux cc
prorfus ign o ta s , d iverfiffim as ab
a lg e b ra ic is ,
Sc
tra n fe c n d e n tib u s ,
u n iform itatem n a t u r x e x p rim e re
p o te r u n t, ac re la tio n em in ter ab*
f c i l f a s ,
Sc
o rd in atas , q u x e x h i
b e an t vires p er d ifia n tia s , cum
con d ition ibus requifitis ad rem
p r x f c n t e n i . E t q u id e m c u m c u r
va: , qu o in p lu ribu s v>un<fiis fe-
cari poflunt a r e d a , e o altiorem
h a b e a n t ,
Sc
humanae m en ti com -
plicatiorcm x q u a t io n c m ,e o autem
plurcs fun t , q u o ita altiorcs $
iu m m a c f i p ro ba b ilitas , c u rv am ,
uae exprimit^ n e xu m v iriu m cu m
ifiantiis , efle cx c o ip fo ge n e re
fim plicium in fe ipfis, n o b is a utem
h om in ib u s c om p lica tifT im aru m .
Inn uam
Sc
iliud , p o fle un icam
h an c fim plicem c u rv a m co n cip i
com pofitam cx aliis p lu rib u s fi tri
p licioribus ita . ut q u x v is ejus
o rd in ata coalefcat e x o rd in atis ad
alias curvas datas q u a fc u n q u c ,
Sc
p rx tc rc a aliam , q u x o rd in a ta m
h ab e at com p le n tem cum o m n iu m
illarum ordinatis tam p o f i t i v i s ,
q u am negativis o rd in atam c u r v x
n o fir x p r im ig e n ix
Sic p o refi
afTumi h yp crb o la gra v ita tis N e v v -
to n ia n x ,
Sc
politis c iu s o rd in a tis
a fine o rd in a tx cu ju lvis p e rtin e n
tis ad nofteam c u rv a m c u m dire-
d i o n c pofitiva fu r fu m : o rie tu r
in curva n ova , q u x c o n j u n d a
cum gravitatis N e w t o n i a n x c u rv a
refiituet n o ftr a m . T u m p o te rit
concipi m ateria , ut p rx d ica vi
gravitatis a tt r a d iv a ,q u x im m in u
tis in infinitum difianriis crcfcac
in im racnfuin , iis a u te m a u d i s
decrcfcac
accutraujfimc
in ra tio n e
f i t a n t o m n i a e u n d i s .
2 5 ^ 5
1
i 2
O r -
d iftan tia rum reciproca d up licata
pertin en te ad q u alcu m q u e d ifia n
tias u tc u m q u e in infinitum c o n ti,
n u atas, fed fim ul
Sc
alia vi exp res-
fa per illam n o v a m cu rv a m . H x c
cu rv a n o v a poterit ite rum re fo lv i
in a l i a s , q u a r u m a lix p e rtin e a n t
ad fo lam fe r m e n ta t io n e m ', vel
ad (olam c o h x fio n c m , in q u ib u s
dam folis diftantiis , a lix ad ela-
fiicitatem , a lix ad alia e ju fm o d i
m u n ia , T u m maceria h a b e b it
om n es illas proprietates , q u as
p o te rim u s ’ fco rfu m c o n iid e rarc
l in g u la s ,
Sc
d eterm inare p h x n o -
m e n a ,q u x ab iis pendent,ac fim u l
h a b e b it illam v im exp reffam a
cu rv a ultim a com plen te p r im ig e
n iam c u m fin g u lis . Iri fe lex v i.
riu m e rit u n ic a , Sc lim plex : fiet
c o m p o fita e r n o firo c o n cip ie n d i
m o d o , ta n q u am fi fin gu li illi c f-
f c d u s p ro ve n ire n t a fingulis ca u -
fis a fe in v ic em non p e n d en tib u s.
C o m p lic a tio illa,8 ccom po fitio erit
to ta in n o fir o co g ita n d i m o d o ,
N a t u r a erit in fc lim p le x . Porro-
v el inde m agis c o m m e n d a tu r h x c
th e o r ia , q u o d ejus o p e poflic h a
b e ri,q u id q u id alii d ixerun t u tc u m
q u e d ifp c ra tu m , ut f o r m x fu b -
itan tiaies , vel acciden tales P e ri
p a tetico ru m e o d em prorfus m o
d o , quo; fu p ra vidim us to r u m
co rp u fcu la rium fyftcm a, c u m a n
n alis , cu fp id ib u s , un cin is , d e
d uci c folo c o h x fio n is g e n e r e a b
ca in d u & o < H :cc lim p lex o m n i
bus illisq o m p o fitisje q u iv a lc c 1 il
la ru m red u ftio -a d a liq u a m m in u s
c o m p o fita m v id e tu r tu ilfe v o t u m
N c v r t Q a i , c u i v id e tu r npb.is fatis
