Borelli, Giovanni Alfonso - De motionibus naturalibus a gravitate pendentibus

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1
rectà IM parallela funibus, ſeu perpendicularis ad
horizontem ſecans KL in M planè ſectæ erunt duæ li
bræ prædictæ in I, & M in eadem proportione reci
proca ponderum ſuſpenſorum, ideoque puncta I, &
M erunt centra grauitatum vtriuſque libræ: quare li
cet pondus B aſcendat p BL, tamen verum eſt duo
pondera AB in communi centro grauitatis I ſuſpenſa
circa centrum firmum G, & in termino fune-penduli
GI deſcendere directo motu, & perpendiculari ad
horizontem per IM, & hoc erat oſtendendum.

Cap. 2. dę
momentis
grauium in
fluido inna
tantium

Huiuſmodi mechanicæ ſpeculationes maximè con
ferunt ad intelligentiam motus corporum in fluidis,
pro cuius declaratione primò conſiderari debet.

PROP. VIII.

Qua ratione fiat Motus fluidi in ſiphone continuato,
& in ſeipſum reflexo.

SIt igitur ſipho ABDG in ſe ipſum reflexus cuius
brachia lateralia BN & GO directa ſint, in
ter ſe parallela, & ad horizontem perpendiculariter
erecta & æquè ampla. includatur poſtea gutta aliqua
mercurij BC, quæ in fiſtulis anguſtis retinetur in eo
dem ſitu collecta, reliqua verò cauitas eiuſdem fiſtulæ
BAGDC repleatur aqua; tunc ductis à punctis B, &
C & à centro grauitatis guttæ mercurialis H tribus li
neis rectis parallelis horizonti BG, HI, & CF, & ſec
ta HI bifariàm in L; patet quòd duo grauia, mercu
rius nempe BC, & aqua GF ſuſpenduntur in eadem̨

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