DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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archimedes
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<
text
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body
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<
chap
id
="
N10019
">
<
p
id
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N12013
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type
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main
">
<
s
id
="
N1203D
">
<
pb
xlink:href
="
077/01/062.jpg
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pagenum
="
58
"/>
pondus vnam & eandem ſemper habet grauitatem; erit
<
expan
abbr
="
põdus
">pondus</
expan
>
<
lb
/>
ex CB compoſitum æ〈que〉graue, tam in ſitu CB, quàm in
<
lb
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FG, & in ſitu HK. conſiderando nempe pondera CB (ut
<
lb
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revera ſunt) nilaliud eſſe niſi vnum tantùm pondus ex CB
<
lb
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compoſitum. </
s
>
<
s
id
="
N1204F
">Ex quibus perſpicuum eſt, punctum E eodem
<
lb
/>
ſemper modo grauitare. </
s
>
<
s
id
="
N12053
">Quare quoniam pondera CB in ſi
<
lb
/>
tu CB ipſi A ę〈que〉ponderant, ſuamquè habent grauitatem
<
lb
/>
in puncto E; eadem pondera CB ſiue ſint in FG, ſiue in
<
lb
/>
HK, eidem ponderi A æ〈que〉ponderabunt. </
s
>
<
s
id
="
N1205B
">ſiquidem propriè
<
lb
/>
ſemper grauitant in E, & eandem ſemper habent
<
expan
abbr
="
grauita-tẽ
">grauita
<
lb
/>
tem</
expan
>
Intelligatur deni〈que〉 HEK in centrum mundi tendere; e
<
lb
/>
runtvti〈que〉 vtra〈que〉 pondera HK, tanquam in puncto E
<
expan
abbr
="
cõ
">com</
expan
>
<
lb
/>
ſtituta, vt ex prima propoſitione noſtrorum Mechanicorum
<
lb
/>
elici poteſt, quamuis perſe notum ſit. </
s
>
<
s
id
="
N1206F
">ſiquidem ſeorſum pon
<
lb
/>
dus H ſecundùm eius centrum grauitatis propriè grauitat ſu
<
lb
/>
per puncto E; pondus verò K eſt, tanquam ex E appenſum;
<
lb
/>
vndè & in eodem puncto E quo〈que〉 grauitat. </
s
>
<
s
id
="
N12077
">Ita〈que〉
<
expan
abbr
="
quoniã
">quoniam</
expan
>
<
lb
/>
ambo propriè grauitant in E, erunt pondera HK perinde,
<
lb
/>
acſi vnum eſſet pondusipſis HK, hoc eſtipſis CB æquale, cu
<
lb
/>
ius centrum grauitatis ſit in E conſtitutum. </
s
>
<
s
id
="
N12083
">atverò pondus
<
lb
/>
A ipſis CB in ſitu HK exiſtentibus æ〈que〉ponderat. </
s
>
<
s
id
="
N12087
">ergo
<
expan
abbr
="
idẽ
">idem</
expan
>
<
lb
/>
pondus A ipſis CB in E conſtitutis, hoc eſt ponderi ipſis CB
<
lb
/>
ſimul ſumptis ęquali in E poſito æ〈que〉ponderabit. </
s
>
<
s
id
="
N12091
">quod de
<
lb
/>
monſtrare oportebat. </
s
>
</
p
>
<
p
id
="
N12095
"
type
="
main
">
<
s
id
="
N12097
">Quod idem quo〈que〉, ſi plura eſſent pondera, ſimiliter o
<
lb
/>
ſtendetur. </
s
>
</
p
>
<
p
id
="
N1209B
"
type
="
main
">
<
s
id
="
N1209D
">Valetita〈que〉 conſe〈que〉ntia, punctum D centrum eſtgra
<
lb
/>
uitatis magnitudinis ex ponderibus ABC compoſitę; ergoi
<
lb
/>
dem punctum D centrum eſt grauitatis ponderis in A, &
<
expan
abbr
="
põ
">pom</
expan
>
<
lb
/>
derisipſis BC ſimul ęqualis in E conſtituti. </
s
>
<
s
id
="
N120A9
">ex quo conſequi
<
lb
/>
tur, quòd ſi magnitudines ABC ex D æ〈que〉ponderant, ergo
<
lb
/>
ex eodem D magnitudo ipſis BC ſimul æqualis in E poſita,
<
lb
/>
& magnitudo A æ〈que〉ponderabunt. </
s
>
<
s
id
="
N120B1
">quòd ſi rectè perpenda
<
lb
/>
mus, nil aliud ſunt pondera in BC, niſi magnitudo in E con
<
lb
/>
ſtituta. </
s
>
<
s
id
="
N120B7
">ſiquidem punctum E ipſius centrum grauitatis
<
lb
/>
exiſtit </
s
>
</
p
>
<
p
id
="
N120BB
"
type
="
main
">
<
s
id
="
N120BD
">In noſtro autem Mechanicorum libro in quinta </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>