DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N10019
">
<
p
id
="
N1292B
"
type
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main
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<
s
id
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N12997
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<
pb
xlink:href
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077/01/078.jpg
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pagenum
="
74
"/>
plures magnitudines, inquit,
<
emph
type
="
italics
"/>
& magnitudines æqualem habuerint
<
lb
/>
grauitatem.
<
emph.end
type
="
italics
"/>
ex quibus conſtat Archimedem ad magnitudinum
<
lb
/>
grauitates omnino reſpexiſſe. </
s
>
<
s
id
="
N129B6
">ita vt quando Archimedes in
<
lb
/>
quit,
<
emph
type
="
italics
"/>
& magnitudines æquales
<
emph.end
type
="
italics
"/>
, idem eſt, ac ſi dixiſſet,
<
emph
type
="
italics
"/>
& magnitu
<
lb
/>
dines æqualem habuerint grauitatem.
<
emph.end
type
="
italics
"/>
Præterea in ſexta propoſitio
<
lb
/>
ne inquit magnitudines ę〈que〉ponderare ex diſtantijs permu
<
lb
/>
tàtim proportionem habentibus, vt grauitates. </
s
>
<
s
id
="
N129CC
">ita ut cauſa
<
lb
/>
huius æ〈que〉ponderationis ſit (vt reuera eſt) magnitudinum
<
lb
/>
grauitas. </
s
>
<
s
id
="
N129D2
">&
<
expan
abbr
="
quãquam
">quanquam</
expan
>
in hac ſeptima propoſitione dicat, ma
<
lb
/>
gnitudines æ〈que〉ponderare ex diſtantijs permutatim propor
<
lb
/>
tionem habentibus, vt magnitudines, & non dixit, vt grauita
<
lb
/>
tes; intelligendum tamen eſt, ac ſi dixiſſet, eas ę〈que〉pondera
<
lb
/>
re, vt magnitudinum grauitates. </
s
>
<
s
id
="
N129E0
">hęc enim ſeptima propoſi
<
lb
/>
tio eſt pars ſextæ propoſitionis, vt iam pręfati fum^{9}; vnde ſi in
<
lb
/>
ſexta magnitudines ę〈que〉ponderant ob earum grauitatem, ob
<
lb
/>
eandem quo〈que〉 cauſam & in hac ſeptima æ〈que〉ponderare de
<
lb
/>
bent. </
s
>
<
s
id
="
N129EA
">Pręterea in ſe〈que〉nti etiam propoſitione dum proponit
<
lb
/>
oſtendere quam proportionem habere debent ſectiones lineę
<
lb
/>
intercentra grauitatum diuiſę magnitudinis
<
expan
abbr
="
exiſtẽtes
">exiſtentes</
expan
>
, inquit,
<
lb
/>
<
emph
type
="
italics
"/>
quam habet grauitas magnitudinis ablatæ ad grauitatem reſiduæ
<
emph.end
type
="
italics
"/>
hoc
<
lb
/>
autem deinceps exponens,
<
expan
abbr
="
nõ
">non</
expan
>
inquit oportere ſectiones lineæ
<
lb
/>
eam habere proportionem, quàm grauitas ad grauitatem ha
<
lb
/>
bet; ſed horum loco inquit, quàm magnitudo ad magnitudi
<
lb
/>
nem. </
s
>
<
s
id
="
N12A07
">ex quibus omnibus clarè perſpicitur, quòd quando Ar
<
lb
/>
chimedes magnitudines nominat, omnino magnitudinum
<
lb
/>
grauitates vult intelligere. </
s
>
</
p
>
<
p
id
="
N12A0D
"
type
="
main
">
<
s
id
="
N12A0F
">Ad eorum autem
<
expan
abbr
="
intelligentiã
">intelligentiam</
expan
>
, quę dicta ſunt in ſexta, ſepti
<
lb
/>
maquè propoſitione,
<
expan
abbr
="
earũquè
">earunquè</
expan
>
<
expan
abbr
="
demõſtrationibus
">demonſtrationibus</
expan
>
,
<
expan
abbr
="
obſeruandũ
">obſeruandum</
expan
>
<
lb
/>
eſt, quòd in ſexta propoſitione pro magnitudinibus commen
<
lb
/>
ſurabilibus intelligere oportet magnitudines grauitate com
<
lb
/>
menſurabiles; ita nempe, vt numeris exprimi poſſint; quam
<
lb
/>
quam non ſint mole, & magnitudine commenſurabiles, vt
<
lb
/>
in figura ſextę propoſitionis magnitudo A ponderet exempli
<
lb
/>
gratia vt XVI. B verò vt VIII.
<
expan
abbr
="
intelligaturq́
">intelligatur〈que〉</
expan
>
; F
<
expan
abbr
="
magnitudinũ
">magnitudinum</
expan
>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>