Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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32
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023/01/071.jpg
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<
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id
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">SIT
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abbr
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fruſtũ
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pyramidis, uel coni, uel coni portionis ad,
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cuius maior baſis ab, minor cd. </
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<
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id
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s.000672
">& ſecetur altero plano
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baſi æquidiſtante, ita ut ſectio ef ſit proportionalis inter
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baſes ab, cd. </
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>
<
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id
="
s.000673
">conſtituatur
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abbr
="
autẽ
">autem</
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pyramis, uel conus, uel co
<
lb
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ni portio agb, cuius baſis ſit eadem, quæ baſis maior fru
<
lb
/>
<
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id
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xlink:href
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number
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ſti, & altitudo æqualis. </
s
>
<
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id
="
s.000674
">Di
<
lb
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co fruſtum ad ad pyrami
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lb
/>
dem, uel conum, uel coni
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lb
/>
portionem agb eandem
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lb
/>
<
expan
abbr
="
proportionẽ
">proportionem</
expan
>
habere,
<
expan
abbr
="
quã
">quam</
expan
>
<
lb
/>
utræque baſes, ab, cd unà
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lb
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cum ef ad baſim ab. </
s
>
<
s
id
="
s.000675
">eſt
<
lb
/>
enim fruſtum ad æquale
<
lb
/>
pyramidi, uel cono, uel co
<
lb
/>
ni portioni, cuius baſis ex
<
lb
/>
tribus baſibus ab, ef, cd
<
lb
/>
conſtat; & altitudo ipſius
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lb
/>
altitudini eſt æqualis: quod mox oſtendemus. </
s
>
<
s
id
="
s.000676
">Sed pyrami
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lb
/>
<
figure
id
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id.023.01.071.2.jpg
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xlink:href
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number
="
64
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des, coni, uel coni
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expan
abbr
="
portiões
">portiones</
expan
>
,
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lb
/>
quæ ſunt æquali altitudine,
<
lb
/>
<
expan
abbr
="
eãdem
">eandem</
expan
>
inter ſe, quam baſes,
<
lb
/>
proportionem habent, ſicu
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lb
/>
ti demonſtratum eſt, partim
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<
arrow.to.target
n
="
marg82
"/>
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ab Euclide in duodecimo li
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bro elementorum, partim à
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nobis in
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expan
abbr
="
cõmentariis
">commentariis</
expan
>
in un
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lb
/>
decimam
<
expan
abbr
="
propoſitionẽ
">propoſitionem</
expan
>
Ar
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lb
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chimedis de conoidibus, &
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ſphæroidibus. </
s
>
<
s
id
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s.000677
">quare pyra
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/>
mis, uel conus, uel coni por
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lb
/>
tio, cuius baſis eſt tribus illis
<
lb
/>
baſibus æqualis ad agb eam
<
lb
/>
habet proportionem, quam
<
lb
/>
baſes ab, ef, cd ad ab baſim. </
s
>
<
s
id
="
s.000678
">Fruſtum igitur ad ad agb </
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>
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</
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