DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N10019
">
<
p
id
="
N1292B
"
type
="
main
">
<
s
id
="
N12935
">
<
pb
xlink:href
="
077/01/077.jpg
"
pagenum
="
73
"/>
his, vel de rectilineis tantùm demonſtrationes attuliſſe (vt
<
expan
abbr
="
nõ-nulli
">non
<
lb
/>
nulli</
expan
>
fortaſſe falsò exiſtimarunt) intelligeremus; ita vt ex Ar
<
lb
/>
chimedis demonſtrationibus non ſit adhuc vniuerſaliter de
<
lb
/>
monſtratum hoc pręcipuum fundamentum; nempè magni
<
lb
/>
tudines ex diſtantijs permutatim
<
expan
abbr
="
proportionẽ
">proportionem</
expan
>
habentibus, vt
<
lb
/>
ipſarum grauitates, ę〈que〉ponderare; in hoc certè rationes ab
<
lb
/>
Archimede allatas, ipſarum què demonſtrationum vim mini
<
lb
/>
mè percipiemus. </
s
>
<
s
id
="
N12951
">Quapropter ea, quæ demonſtrauit, omni
<
lb
/>
bus magnitudinibus vniuerſaliter competere ipſum voluiſſe
<
lb
/>
nullatenus eſt dubitandum. </
s
>
<
s
id
="
N12957
">Ne〈que〉 enim, vt perfectè, & vni
<
lb
/>
uerſaliterſciamus, magnitudines ç〈que〉ponderare ex diſtantijs
<
lb
/>
permutatim proportionem habentibus, vt ipſarum grauita
<
lb
/>
tes, alijs, quàm pręcedentibus propoſitionibus indigemus.
<
lb
/>
In hoc enim fundamento demonſtrando minimè diminu
<
lb
/>
tus extitit Archimede. </
s
>
<
s
id
="
N12963
">Nam ſi ad propoſitiones ab ipſo alla
<
lb
/>
tas, pręcipuèquè ad vim demonſtrationum reſpiciamus, ſiuè
<
lb
/>
magnitudines intelligantur eiuldem ſpeciei, ſiue diuerſę, ſi
<
lb
/>
ue homogeneę, ſiue heterogeneę, ſiue planę, ſiue ſolidę, &
<
lb
/>
hę quidem, ſiue rectilineę, ſiue quom odocun〈que〉 mixtę; ni
<
lb
/>
hilominus demonſtrationes idem prorſus concludent, ita vt
<
lb
/>
Archimedes non de aliquibus magnitudimbus tantùm de
<
lb
/>
monſtrationes attulerit; ſed de omnibus prorſus demonſtra
<
lb
/>
uerit. </
s
>
<
s
id
="
N12975
">In his enim Archimedes non ad magnitudines tantùm,
<
lb
/>
verùm ad magnitudinum grauitates potiſſimùm reſpexit.
<
lb
/>
quandoquidem loco grauium magnitudines nominat; vt
<
lb
/>
poſt quartam huius propoſitionem adnotauimus. </
s
>
<
s
id
="
N1297D
">quod qui
<
lb
/>
dem facilè ex verbis ipſius rectè intellectis apparere poteſt.
<
expan
abbr
="
Nã
">Nam</
expan
>
<
lb
/>
in quærta propoſitione cùm inquit,
<
emph
type
="
italics
"/>
ſi duæ fuerint magnitudines
<
lb
/>
æquales
<
emph.end
type
="
italics
"/>
, vt antea diximus, intelligendum eſt eas ęquales
<
lb
/>
eſſe grauitate. </
s
>
<
s
id
="
N12991
">quod non ſolùm ex eius demonſtrationeli
<
lb
/>
〈que〉t, verùm etiam ex modo lo〈que〉ndi, quo vſus eſt Archime
<
lb
/>
des in alijs propoſitionibus. </
s
>
<
s
id
="
N12997
">In quinta enim propoſitione,
<
lb
/>
quę eiuſdem eſt cum quarta ordinis, & naturę, in quit;
<
lb
/>
<
emph
type
="
italics
"/>
Sitrium magnitudinum centra grauitatis in recta linea fuerint poſi
<
lb
/>
ta, & magnitudines æqualem habuerint grauitatem.
<
emph.end
type
="
italics
"/>
ſimlli
<
lb
/>
ter poſt quintam demonſtrationem bis quoquè eodem v
<
lb
/>
titur lo〈que〉ndi modo, nempè cùm adhuc proponit </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>