Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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1
TV
ſuſpenſa fuiſſent, pariterque conſtat vim exerce­
re
in eorum centris grauitatum L, & Z, quæ propor­
tionaliter
libras diuidunt, & ideò in maiori libra GH
penduli
longitudo IL maior erit longitudine penduli
XZ
, quare impetus deſcenſus libræ & eleuatio olei
EF
maiori velocitate fiet, quàm flexio alterius libræ
cum
oleo KY, ſcilicèt in ſubduplicata proportionę

pendulorum
; ſed quia hoc experientiæ repugnat, fa­
tendum
eſt ab aliquo impedimento retardari aſcensum
olei
EF, & profectò nedùm ratio habenda eſt ponde­
rum
EF, FM, nec non KY, YO, quia hæc corpora in
libra
appenſa moueri non poſſunt, quin etiam motu
tranſuerſali
fluidum in fimum, ac ſupremum in fiſtulis
contentum
impellant quoque motu tranſuerſali: igi­
tur
videndum quoque eſt quibus velocitatibus
qua
tranſuerſalitèr in vtroque ſiphone impulſa mo­
ueri
debeat; & primo quia ſpatium tranſuerſale AD
ad
ſpatium PS duplicatam proportionem habet eius
quam
vis motiua penduli IL ad vim motiuam pendu­
li
XZ, ergo hoc nomine retardatur velocitas aſcenſus
fluidi
EF: præterea tranſuerſalis fluxus aquæ in ſi­
phone
impeditur, quia non poteſt oleum EF aſcen­
dere
vſque ad 6, 7, niſi incumbens aqua E 7 ſurſum̨
expellatur
, colloceturque in ſpatio 6 N, & hinc aqua
expulſa
reponatur in loco AN, & hinc excluſa aqua ſi­
tuationem
acquirat ND & hęc in N 8 transferatur, itaut
omnes
partes aquæ AND ſimul tempore motu ſucceſ
ſiuo
amplitudinem vaſis excurrant: huiuſmodi verò
tranſitus
fieri non poteſt abſque eo, quòd machinulæ

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