4
91
Quam fuper expofui; fimplex eft., unaque vers
Illa-, fed a variis variantia nomina rebus
Sortitur; veluti multis quod flumen in ori$
lir r a t,
jk
hos prater populos , & labitur illos .
Moribus & patrio inter fc fermone repiotos,
2545
His diverfa refert atque illis nomina te rris ,
Qux* nemus, aut vallis monti fubje&a nivali
Commutat; longinquum undas devolvit eafdem
Ad mare, qua; gentes varias, qux regna rigarunt •
Sic ferpcns varie via cu rva , ubi crurcr recedit
2550
Primum infinito, & facit im penetrabile corpus.,
I i
Ha,
L I B E R D E C I M U S ,
agente? in d ifta n tia in g e n e r e , ac
con tra m eam illam v iriu m th e o r i
am . Secunda pars co n tin e t a p p l i
cationem ad M e ch a n ic am , ubi fu -
fc p r o p o n u n t u r ,q u x pertinent ad
a rcu s c u r
y
se ,
arcas d e te rm i.
nantes in crem en ta v el decrem en ta
q u ad rati v e l o c it a t is , lim ites per
in t e r fe d io n e m , a c rcccflus in
in fin itum per arcus a fy m p to tic o s:
tu m e x p o n u n t u r , q u x pertin e n t
ad m otu s p u n d o r u m d u o ru m , ad
v i r e s ,
Sc
m o tu s trium , a d e o m -
p o fitio n em ,
Sc
re fo lu tio n em v i
riu m ,
Sc
m o tu u m , ad m aflas .
O c c u r r it autem in fyftem atc p u n
d o r u m trium ge n e rale th eo rem a
iu b e n s ufus e g re g io s in M e c h a
nica , atque in p rim is q u x e u m -
que pertinent ad cen trum g r a v i
tatis , aequilibrii, o fc illa t io n is ,
p c r c u flio n is . A cce d u n t co llisio
nes folidorum , ac p r e f lio ,
Sc
velocitas fluidorum •
Pars te itia co n tin e t a p p lica tio
n e m ad om n em P h yflcam ,
Sc
pri
m o q uidem d ed u cu n tu r proprie*
tates generales co rp o ru m ex ipsa
t h e o r i a , im p c n c tra b ilita s , e x
tensio , figu rabi lita s , m obilitas ,
x qu a litas a d io n is >
Sc
r c a d i o n i s ,
imm utabilitas e lem e n to ru m , g ra
vitas . T u m tranfltur ad c o h x fio -
n e m ,
Sc
diverfa ejus gen era , ac
d ifcrim in a inter m aflulas p u n d o -
ium > c q u ibu s co n fte n t p a rticu lx ,
& varii
carum
o r d in e s ; inde d e
d u c u n tu r d ifc rim in a in ter fo lid i-
ta te m ,
Sc
flu id jta tcm , q u x p e r
tin ent ad d iverfos c o h x fio n is m o
dos , d ife rim e n in te r cla ftica ,
Sc
m o l l i a , v i r g x r i g i d x , fle x ile s ,
c la ftic x , fragiles : vifcofltas, c e r -
t x q u o r u m d a m ’ c o p o r u m f i g u r x ,
n a tu ra v u lg a r iu m e le m e n to r u m ,
p o tiflim u m q u x p e rtin e n t ad i-
g n e m , & - ad o p e ra tio n e s ch ytn ica s
g e n e r a t im , tu m q u x ad o m n e s
p ro p rie tate s lu m in is : a t t in g u n t u r
n o n n u lla de f a p o r c ,
Sc
o d o re *
de f o n o , de t a d u ,f r ig o r e ,
Sc
c a l o
re /
Sc
e x p o n u n tu r p r in c ip ia p r o
p r ie ta tu m m a t e r ix c l e d r i c x : d e
m u m a ttin g itu r
Sc
m a g n e tifm u s ,
ac e x p o n i t u r , q u id u t m a te ria ,
fo r m a , c o r r u p t i o , a ltc ra tio .
H o c p a d o m ea v iriu m th e o r ia
e xc u rrit p e r o m n e m late N a t u
ram . C u r v a , q u a e x vires e x
p r im u n tu r , cujus i n t u i t i o ,
Sc
co n fid e ra tio eft o m n in o n e c c fla ria
ad in te llig c n d a m v im , a c n e x u m ,
Sc
fim p jicita tem T h c o r i x ip fius ,
nec re q u irit ullam G c o m e t r i x c o
g n itio n e m , fed fo la m p a u c o r u m
n o m in u m n o t io n e m , & i n t u i t i o -
n em fc h c m a tis a tte n ta m , c o m
parari p o te ft cum iis flu m in ib u s * ,
q u x p er v aftas p ro vin cias late ( e r -
p u n t , d o n ec e v o lv a n tu r in m a re :
uc a u te m illa a liu d a lib i f o r t i u n -
tu r n o m e n , ita
Sc
h x c aliis fu is
p a rtib u s ad alias p r o p ic ta te s a p
p lic a ta d iycrfis n o t a i n i b u s a p p c l-
