Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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ma aqueum imminuitur, pondus eius quòd prius ſu
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perabat grauitatem ligni BD, tandem poſt
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abbr
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continuã
">continuam</
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>
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ponderis aquæ
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abbr
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diminutionẽ
">diminutionem</
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reddetur præcisè æqua
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le ponderi cylindri lignei BD, & tunc coniunctis
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centris grauitatum eorum à rectą
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PO hæc quidem bifariàm ſecabi
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tur in termino Q &
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abbr
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ibidẽ
">ibidem</
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erit eius
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centrum, atque fulcimentum ha
<
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bebitque pondus ligni BD ad
<
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abbr
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põ-dus
">pon
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dus</
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aquæ GD ſibi æquale
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abbr
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eamdẽ
">eamdem</
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proportionem, quam habet reciprocè PQ ad QO, &
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proindè centrum grauitatis commune Y incidet præ
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cisè in centro ſeù fulcimento libræ
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abbr
="
q.
">que</
expan
>
igitur æquili
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bratis prædictis ponderibus libra quieſcet, nec priſ
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ma ligneum BD vlteriùs
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expan
abbr
="
aſcẽdet
">aſcendet</
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>
,
<
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abbr
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neq;
">neque</
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denuò
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abbr
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deorsũ
">deorsum</
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decidet niſi ex accidenti ratione impetus acquiſiti. </
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Cap. 2. de
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momentis
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grauium in
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fluido inna
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tantium.</
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>
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<
s
id
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s.000146
">Hinc patet quòd quando primò lignum BD exur
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gere incipit ſupra aquæ libellam RX tunc continen
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ter magis ac magis centrum communis grauitatis Y
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motu obliquo, & curuo
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abbr
="
aſcẽdit
">aſcendit</
expan
>
quòuſque coniunga
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tur cum fulcimento Q libræ PO ſursùm tranſlatę,
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non ſecùs, ac in ſiphone aqua eleuata in vno eius bra
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chio deſcendendo perducit centrum grauitatis eius
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per curuam lineam parabolicam, vt dictum eſt; con
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cipi ergo debet ſipho inæqualium brachiorum
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expan
abbr
="
quãdo
">quando</
expan
>
<
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primum baſis ſuprema AB ligni attingit aquæ libel
<
lb
/>
lam, & quia tunc exceſſus grauitatis ſpecificæ aquæ
<
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/>
AH ſupra pondus ligni BD perindè agit ac ſi aliud
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fluidum æquè graue ſpecie ligno ipſi BD & maioris </
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