Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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[Figure 71]
Page: 82
[Figure 72]
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[Figure 73]
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[Figure 74]
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[Figure 75]
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[Figure 76]
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[Figure 77]
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[Figure 78]
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[Figure 79]
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[Figure 80]
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[Figure 81]
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[Figure 82]
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[Figure 83]
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[Figure 84]
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32
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xlink:href
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<
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id
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s.000671
">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. </
s
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<
s
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
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s.000673
">conſtituatur
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abbr
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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
/>
<
figure
id
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id.023.01.071.1.jpg
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xlink:href
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number
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63
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lb
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ſti, & altitudo æqualis. </
s
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<
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id
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s.000674
">Di
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lb
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co fruſtum ad ad pyrami
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lb
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dem, uel conum, uel coni
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lb
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portionem agb eandem
<
lb
/>
<
expan
abbr
="
proportionẽ
">proportionem</
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habere,
<
expan
abbr
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quã
">quam</
expan
>
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lb
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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
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enim fruſtum ad æquale
<
lb
/>
pyramidi, uel cono, uel co
<
lb
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ni portioni, cuius baſis ex
<
lb
/>
tribus baſibus ab, ef, cd
<
lb
/>
conſtat; & altitudo ipſius
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lb
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altitudini eſt æqualis: quod mox oſtendemus. </
s
>
<
s
id
="
s.000676
">Sed pyrami
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/>
<
figure
id
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xlink:href
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number
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64
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des, coni, uel coni
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expan
abbr
="
portiões
">portiones</
expan
>
,
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lb
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quæ ſunt æquali altitudine,
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lb
/>
<
expan
abbr
="
eãdem
">eandem</
expan
>
inter ſe, quam baſes,
<
lb
/>
proportionem habent, ſicu
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lb
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ti demonſtratum eſt, partim
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<
arrow.to.target
n
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marg82
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ab Euclide in duodecimo li
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bro elementorum, partim à
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nobis in
<
expan
abbr
="
cõmentariis
">commentariis</
expan
>
in un
<
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. </
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>
<
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id
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s.000677
">quare pyra
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mis, uel conus, uel coni por
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tio, cuius baſis eſt tribus illis
<
lb
/>
baſibus æqualis ad agb eam
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lb
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habet proportionem, quam
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lb
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baſes ab, ef, cd ad ab baſim. </
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>
<
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id
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">Fruſtum igitur ad ad agb </
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>
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