Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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023/01/045.jpg
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<
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">THEOREMA X. PROPOSITIO XIIII.</
s
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<
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id
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">Cuiuslibet pyramidis, & cuiuslibet coni, uel
<
lb
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coni portionis, centrum grauitatis in axe
<
expan
abbr
="
cõſiſtit
">conſiſtit</
expan
>
.</
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>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000418
">SIT pyramis, cuius baſis triangulum abc: & axis de. </
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>
<
lb
/>
<
s
id
="
s.000419
">Dico in linea de ipſius grauitatis centrum ineſſe. </
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>
<
s
id
="
s.000420
">Si enim
<
lb
/>
fieri poteſt, ſit centrum f: & ab f ducatur ad baſim pyrami
<
lb
/>
dis linea fg, axi æquidiſtans:
<
expan
abbr
="
iunctaq;
">iunctaque</
expan
>
eg ad latera trian
<
lb
/>
guli abc producatur in h. </
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>
<
s
id
="
s.000421
">quam uero proportionem ha
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/>
bet linea he ad eg, habeat pyramis ad aliud ſolidum, in
<
lb
/>
quo K:
<
expan
abbr
="
inſcribaturq;
">inſcribaturque</
expan
>
in pyramide ſolida figura, & altera cir
<
lb
/>
cumſcribatur ex priſmatibus æqualem habentibus altitu
<
lb
/>
dinem, ita ut circumſcripta inſcriptam exuperet magnitu
<
lb
/>
dine, quæ ſolido k ſit minor. </
s
>
<
s
id
="
s.000422
">Et quoniam in pyramide pla
<
lb
/>
num baſi æquidiſtans ductum ſectionem facit figuram ſi
<
lb
/>
milem ei, quæ eſt baſis;
<
expan
abbr
="
centrumq;
">centrumque</
expan
>
grauitatis in axe haben
<
lb
/>
tem: erit priſmatis st grauitatis
<
expan
abbr
="
centrũ
">centrum</
expan
>
in linea rq ;
<
lb
/>
matis ux centrum in linea qp, priſmatis yz in linea po;
<
lb
/>
priſmatis
<
foreign
lang
="
grc
">ηθ</
foreign
>
in linea on; priſmatis
<
foreign
lang
="
grc
">λμ</
foreign
>
in linea nm; priſ
<
lb
/>
matis
<
foreign
lang
="
grc
">νπ</
foreign
>
in ml; & denique priſmatis
<
foreign
lang
="
grc
">ρσ</
foreign
>
in le. </
s
>
<
s
id
="
s.000423
">quare </
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>
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