DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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N11028
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pagenum
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33
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<
expan
abbr
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proportionẽ
">proportionem</
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habebit YK ad KV, quam ZL ad LX. Quare
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AN PC, & ER TG ſecundùm eandem proportionem æ
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〈que〉ponderabunt. </
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<
s
id
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N110FE
">quod quidem contingit ex ſimilitudine fi
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gurarum, & ex centris grauitatum KL ſimiliter poſitis, quę
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quidem magnitudines, ſi non eſſent ſimiles, diuiſę
<
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abbr
="
quidẽ
">quidem</
expan
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per
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centrum grauitatis, partes vti〈que〉 ę〈que〉ponderarent; non ta
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men ſemper ſecundùm eandem proportionem. </
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>
<
s
id
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N11108
">quod tamen
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ſemper figuris ſimilibus (cùm in ipſis grauitatis centra ſint ſi
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militer poſita) contingit; dummodo (vt dictum eſt) diui
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dantur. </
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<
s
id
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">Vnde conſtat, quam ſit conueniens grauitatis centra
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in figuris hac ratione eſſe conſtituta. </
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<
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ſpicuum eſt, centra grauitatis debere in figuris ſimilibus eſſe ſi
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militer poſita. </
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<
s
id
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N1111A
">vt Archimedes in
<
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pręcedẽti
">pręcedenti</
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poſtulato pręmiſit. </
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4
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ſexti
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16
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type
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quinti
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type
="
italics
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20
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ſexti
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11
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quinti
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type
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16
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type
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quinti
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type
="
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</
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</
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<
figure
id
="
id.077.01.037.1.jpg
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xlink:href
="
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number
="
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"/>
<
p
id
="
N11153
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type
="
head
">
<
s
id
="
N11155
">VIII.</
s
>
</
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<
p
id
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type
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">
<
s
id
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">Si magnitudines ex æqualibus diſtantijs æ〈que〉
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ponderant, & ipſis æquales ex ijſdem diſtantijs æ
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〈que〉ponderabunt. </
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<
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type
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head
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<
s
id
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">SCHOLIVM.</
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type
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<
s
id
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">Hoc eſt perſpicuum,
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nã
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<
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fig15
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ſi magnitudines AB ex di
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ſtantijs CA CB ę〈que〉pon
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derant: ſit autem D ipſi A
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lb
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ęqualis, & E ipſi B.
<
expan
abbr
="
auferã
">auferam</
expan
>
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lb
/>
turquè magnitudines AB à
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lb
/>
linea AB, ipſarumquè loco ponatur D in A, & E in B, ma
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lb
/>
gnitudines DE ſimiliter
<
expan
abbr
="
ę〈que〉pondęrabũt
">ę〈que〉pondęrabunt</
expan
>
. qua ratione enim
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lb
/>
magnitudines AB inter ſeſe ę〈que〉ponderare dicuntur; eadem
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lb
/>
prorſus, & magnitudines DE ex ijſdem diſtantijs ę〈que〉pon
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derabunt. </
s
>
<
s
id
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N1118C
">quandoquidem omnia data ſunt paria. </
s
>
<
s
id
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N1118E
">illud ta
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men non eſt pretereundum, nimirum non oportere DE ipſis
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AB ęquales eſſe in magnitudine, ſed in grauitate. </
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<
s
id
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">poteſt enim </
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archimedes
>