Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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type
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main
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id
="
s.000110
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<
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pagenum
="
21
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xlink:href
="
010/01/029.jpg
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arrow.to.target
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punctum I eſſe centrum grauitatis communis ponde
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rum A, & B (cum funes nullius ponderis
<
expan
abbr
="
ſupponãtur
">ſupponantur</
expan
>
)
<
lb
/>
deinde reuoluta trochlea
<
expan
abbr
="
aſcẽdat
">aſcendat</
expan
>
pondus B ad L, &
<
lb
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oppoſitum pondus A deſcendat vſque ad K
<
expan
abbr
="
coniũga-turque
">coniunga
<
lb
/>
turque</
expan
>
recta KL ſecans rectam AB
<
lb
/>
<
figure
id
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id.010.01.029.1.jpg
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xlink:href
="
010/01/029/1.jpg
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number
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11
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<
lb
/>
in G. dico duo pondera A, & B iņ
<
lb
/>
communi eorum centro grauitatis
<
lb
/>
I circa libræ centrum ſtabile G mo
<
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/>
tu directo, & perpendiculari ad
<
lb
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horizontem
<
expan
abbr
="
deſcẽdere
">deſcendere</
expan
>
. </
s
>
<
s
id
="
s.000111
">quia in tro
<
lb
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chleæ reuolutione
<
expan
abbr
="
tãtumdẽ
">tantumdem</
expan
>
<
expan
abbr
="
deſcẽ-dit
">deſcen
<
lb
/>
dit</
expan
>
terminus funis A quanta eſt ex
<
lb
/>
plicatio funis è rota CDE, & pon
<
lb
/>
dus B aſcendit quantum funis BQS
<
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/>
circumuoluitur circa rotam QSR
<
lb
/>
cùmque duæ rotæ concentricè con
<
lb
/>
nexæ ſimul tempore
<
expan
abbr
="
reuoluãtur
">reuoluantur</
expan
>
cir
<
lb
/>
ca fixum axim F, ergo deſcenſus AK
<
lb
/>
ad
<
expan
abbr
="
aſcẽſum
">aſcenſum</
expan
>
BL eamdem proportio
<
lb
/>
nem habet, quam peripheria CDE ad peripheriam R
<
lb
/>
SQ, ſeu
<
expan
abbr
="
eamdẽ
">eamdem</
expan
>
proportionem, quam habet radius
<
lb
/>
FE ad radium
<
expan
abbr
="
Fq;
">Fque</
expan
>
quare in triangulis AGK, & BGL
<
lb
/>
ſimilibus, ob æquidiſtantiam laterum AK, & BL, erit
<
lb
/>
AG ad GB vt KG ad GL, ſeu vt AK ad BL;
<
expan
abbr
="
proindeq;
">proindeque</
expan
>
<
lb
/>
in eodem puncto fixo G duæ libræ AB, & KL ſe mutuò
<
lb
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ſecabunt in eadem proportione, quam habent motus
<
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/>
eorumdem terminorum, vnde, ex mechanicis, erit
<
lb
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punctum G centrum, & fulcimentum firmum̨
<
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vtriuſque libræ AB, & KL poſtremò ducatur per I </
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>
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</
text
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