Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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quò
magis
comprimitur
,
ſcilicèt
quò
magis
à
circu-
lo
recedit
eius
baſis
, &
ad
figuram
longiorem
ellip-
ticam
redigitur
.
Alio
modo
componi
poſſunt
tubuli
aerei
,
ſi
nimirùm
concipiatur
inuolucrum
factum
ex
lamina
tenuiſſima
,
quæ
quidem
paritèr
flexibilis
ſit
,
&
ad
modum
arcus
reſilire
valeat
,
hæc
,
inquam
,
mul-
tò
magis
comprimi
poteſt
, &
ad
minus
ſpatium
redi-
gi
,
quam
ſimplex
tubus
paulò
ante
expoſitus
, quią
nimirùm
internus
ambitus
adhùc
conſtringi
, &
immi-
nui
poteſt
,
vt
nimirùm
perimeter
baſis
minor
fiat
,
re-
petitis
nimirum
conuolutionibus
prædicti
inuolucri
,
&
præterea
,
non
minùs
,
quam
antea
poteſt
laterali-
tèr
comprimi
vt
nimirùm
baſis
non
circularis
,
ſed
el-
liptica
fiat
, &
ſic
duplicata
cauſa
reſtrictionis
mul-
tò
magis
minui
poterit
moles
aeris
conſtipati
con-
denſatique
;
Tertiò
ſi
ſupponantur
tubuli
aerei
com-
poſiti
ex
tenuiſſima
virga
ramoſa
,
vel
faſcia
obliquè
reuoluta
, &
in
ſe
ipſam
circumducta
ad
modum
ſpi-
ræ
,
relictis
nimirùm
aliquibus
interſtitijs
inter
tranſ-
uerſales
ſpiras
,
tunc
quidem
multò
faciliùs
tubulus
prædictus
conſtipari
poterit
tribus
nominibus
, &
quia
ambitus
internus
imminuitur
,
pariterque
decur-
tatur
altitudo
fiſtulæ
, &
tandem
ad
figuram
compreſ-
ſam
ellipticam
redigitur
,
quare
ſi
ſolida
materia
præ-
dicti
tubuli
,
ſeù
ſpiræ
ſit
dura
quidem
,
ſed
flexibilis
,
&
apta
ad
reſiliendum
vt
machina
,
vel
arcus
chali-
beus,
eique
naturalitèr
competat
ampla
, & dilatatą
figura
,
poterunt
profectò
conſtringi
ab
externa
vi
,
at
ceſſante
violentia
ſponte
ſua
reſilient
,
ad
prioremque
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