Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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IO. BAPT. BENED.
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96
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file
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0096
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xlink:href
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rum ſpecierum materiæ, tertium verò corpus maius, vel minus ſit in quantitate vtro-
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que illorum, ſed eiuſdem materiæ vnius quod vis illorum, ponderis verò alterius,
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eadem proportio erit inter pondera æqualium corporum, quæ inter
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tem</
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corporis inæqualis, & eam quæ vnius cuiuſuis æqualium.</
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<
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<
s
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xml:space
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corpus aliquod aureum æquale corpori
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>.u.</
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>
argenteo, ſit
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etiam corpus
<
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>.a.</
var
>
argenteum maius corpore
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vel
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>.u.</
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ſed ponderis eiuſdem, quod au-
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ri
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var
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. </
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<
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xml:space
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ris
<
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var
>
ad pondus
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>.u.</
var
>
quæ eſt magnitudinis
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>.a.</
var
>
ad ma-
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gnitudinem
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>
. </
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<
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xml:space
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preserve
">Quod ratiocinemur hoc modo, nam
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cum proportio corporeitatis
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ad corporeitatem
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>.u.</
var
>
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eadem ſit, quæ ponderis
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var
>
ad pondus
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var
>
ex ratione
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omogeneitatis, ponderis verò
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>.b.</
var
>
ad pondus
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>.u.</
var
>
ex .7.
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quinti, eadem quæ ponderis
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>.a.</
var
>
ad pondus
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>.u.</
var
>
ideo ex
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11. eiuſdem proportio ponderis
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var
>
ad pondus
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>.u.</
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>
eadem erit, quæ corporeitatis
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>.a.</
var
>
<
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ad corporeitatem
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>
vel ad corporeitatem
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>
quæ æqualis eſt alteri.</
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<
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.</
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<
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xml:space
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que ponderantia, ſed diuerſarum ſpecierum materiæ, cum ſcire volueri-
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mus proportionem ponderum illarum ſpecierum inter ipſas hoc modo faciemus.</
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<
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<
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xml:space
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>
et
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var
>
(vt dictum eſt) quæ ſi
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fuerint æqualium magnitudinum inter ſe, clarum erit quod quæritur, ſed inæqua-
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lia erunt, immergatur
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eorum in vas aqua plenum, & collecta ſit aqua
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effuſa ab vnoquoque illorum, </
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xml:space
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iſtarum aquarum æqualis magnitudi-
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nis erit ſui corporis impellentis, & proportio ponderoſitatis illarum eadem erit,
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/>
quæ earum magnitudinum ex omogeneitate, quapropter ſi vnamquamque illarum
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ponderabimus, habebimus propoſitum ex præcedenti theoremate.</
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xml:space
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<
num
value
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126
">CXXVI</
num
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.</
head
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<
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<
s
xml:id
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xml:space
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">SED cum ſcire voluerimus pondus alicuius magnitudinis aquæ æqualis alicui
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corpori ponderoſo, breuiſſimus modus erit ponderando ipſum corpus tam in ae-
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/>
re, quàm in aqua, & quia ſemper leuius erit in aqua, </
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>
<
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xml:space
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preserve
">tunc differentia ponderum ip-
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ſius corporis, erit pondus quæſitum, hoc eſt vnius corporis aquei æqualis magnitu-
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dinis magnitudini corporis propoſiti ex
<
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">.7. propoſitione lib. Archimedis de inſi-
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dentibus aquæ</
ref
>
. </
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<
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<
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xml:space
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">Quare ex præmiſſis quotieſcunque immerſa fuerint in aquam dicti vaſis duo cor
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pora æquè ponderantia, ſed diuerſarum ſpecierum, vt dictum eſt, proportio pon-
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/>
deris aquæ maioris ad pondus aquæ minoris magnitudinis eadem ſemper erit, quæ
<
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/>
ponderis minoris corporis ad pondus alicuius corporis eidem æqualis, ſpeciei verò
<
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/>
maioris, vel eadem proportio ponderis alicuius corporis æqualis maiori, ſpeciei ve
<
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/>
rò minoris ad pondus ipſius maioris.</
s
>
</
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<
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<
s
xml:id
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xml:space
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preserve
">Vt puta ſit corpus
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var
>.a.</
var
>
argenteum æqualis ponderis corpori
<
var
>.b.</
var
>
aurei, & corpus
<
var
>.u.</
var
>
<
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/>
argenteum æqualis magnitudinis corpori
<
var
>.b.</
var
>
aurei, corpus verò
<
var
>.n.</
var
>
aureum æqualis
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magnitudinis corpori
<
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>.a.</
var
>
argentei, corpus verò
<
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var
>
aqueum æqualis magnitudinis cor- </
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