Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
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361 - 390
391 - 420
421 - 450
451 - 480
481 - 510
511 - 540
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xlink:href
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010/01/029.jpg
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punctum I eſſe centrum grauitatis communis ponde
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rum A, & B (cum funes nullius ponderis
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abbr
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ſupponãtur
">ſupponantur</
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)
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deinde reuoluta trochlea
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abbr
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aſcẽdat
">aſcendat</
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pondus B ad L, &
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oppoſitum pondus A deſcendat vſque ad K
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abbr
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coniũga-turque
">coniunga
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turque</
expan
>
recta KL ſecans rectam AB
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in G. dico duo pondera A, & B iņ
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communi eorum centro grauitatis
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I circa libræ centrum ſtabile G mo
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tu directo, & perpendiculari ad
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horizontem
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abbr
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deſcẽdere
">deſcendere</
expan
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. </
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<
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id
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s.000111
">quia in tro
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chleæ reuolutione
<
expan
abbr
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tãtumdẽ
">tantumdem</
expan
>
<
expan
abbr
="
deſcẽ-dit
">deſcen
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dit</
expan
>
terminus funis A quanta eſt ex
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plicatio funis è rota CDE, & pon
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dus B aſcendit quantum funis BQS
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circumuoluitur circa rotam QSR
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cùmque duæ rotæ concentricè con
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nexæ ſimul tempore
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expan
abbr
="
reuoluãtur
">reuoluantur</
expan
>
cir
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lb
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ca fixum axim F, ergo deſcenſus AK
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lb
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ad
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abbr
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aſcẽſum
">aſcenſum</
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BL eamdem proportio
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nem habet, quam peripheria CDE ad peripheriam R
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SQ, ſeu
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expan
abbr
="
eamdẽ
">eamdem</
expan
>
proportionem, quam habet radius
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/>
FE ad radium
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expan
abbr
="
Fq;
">Fque</
expan
>
quare in triangulis AGK, & BGL
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ſimilibus, ob æquidiſtantiam laterum AK, & BL, erit
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AG ad GB vt KG ad GL, ſeu vt AK ad BL;
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abbr
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proindeq;
">proindeque</
expan
>
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in eodem puncto fixo G duæ libræ AB, & KL ſe mutuò
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ſecabunt in eadem proportione, quam habent motus
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eorumdem terminorum, vnde, ex mechanicis, erit
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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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