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

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<archimedes>
<text>
<body>
<chap>
<p type="main">
<s id="s.000135">
<arrow.to.target n="marg28"/>
<lb/>
tur ab E per FZ versùs I, & ſic à prædicto motu circu­
<lb/>
lari aquæ ambientis lignum expelletur ſursùm; atta­
<lb/>
men ratio mechanica huius actionis pendet ex eo,
<lb/>
quòd libra horizontalis imaginaria PO flectitur per­
<lb/>
petuò deorsùm quidem ad partes centri grauitatis Y
<lb/>
circa centrum Q, & ſursùm ad partes O. ſed ſummo­
<lb/>
perè animaduertendum eſt prædictam libram imagi­
<lb/>
nariam horizontalem renouari ſucceſſiuè prout
<expan abbr="lignũ">lignum</expan>
<lb/>
aſcendit,
<expan abbr="comparaturq;">comparaturque</expan>
cum alijs lateralibus priſma­
<lb/>
tibus aqueis, quæ ſucceſſiuè offendit intercepta in­
<lb/>
ter prædicta plana horizontalia GB, & HC: neceſsè
<lb/>
ergo eſt vt lignum prædictum numquàm quieſcat in­
<lb/>
tra aquam demerſum quòuſque ad ſupremam
<expan abbr="libellã">libellam</expan>
<lb/>
aquæ RX perducatur; inſuperque aliqua eius por­
<lb/>
tio emineat. </s>
</p>
<p type="margin">
<s id="s.000136">
<margin.target id="marg28"/>
Cap. 2. dę
<lb/>
momentis
<lb/>
grauium in
<lb/>
fluido inna­
<lb/>
tantium.</s>
</p>
<p type="main">
<s id="s.000137">
<emph type="center"/>
COR OLLARIVM.
<emph.end type="center"/>
</s>
</p>
<p type="main">
<s id="s.000138">Hinc patet veritas Archimedei aſſumpti, quòd
<lb/>
fluidi conſiſtentis natura requirit vt partium eius æ­
<lb/>
què iacentium magis compreſſæ ſursùm impellant
<lb/>
<expan abbr="horizontẽ">horizontem</expan>
. </s>
</p>
<p type="main">
<s id="s.000139">Quia aqua ſubiecta HCTS ob eius conſiſtentiam̨
<lb/>
non condenſatur, & mobilis eſt, quia fluida, ergo li­
<lb/>
bram flexibilem conſtituit,
<expan abbr="eſtq;">eſtque</expan>
pars ſubiecta HV
<lb/>
magis compreſſa quàm DT (propterea quòd pars a­
<lb/>
quea GD grauior eſt ligno AC) igitur libra fluida
<lb/>
HDC flecti debet deſcendendo HD & DC aſcen­
<lb/>
dendo, quare tota aqua HSVD deorsùm depreſſa im­
<lb/>
pellet aquam DVTC ſursùm. </s>
</p>
</chap>
</body>
</text>
</archimedes>