Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Table of figures
<
1 - 30
31 - 60
61 - 84
>
[Figure 81]
Page: 94
[Figure 82]
Page: 96
[Figure 83]
Page: 98
[Figure 84]
Page: 100
<
1 - 30
31 - 60
61 - 84
>
page
|<
<
of 101
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.000859
">
<
pb
xlink:href
="
023/01/088.jpg
"/>
grauitatis eſſe punctum m. </
s
>
<
s
id
="
s.000860
">patet igitur totius dodecahe
<
lb
/>
dri, centrum grauitatis
<
expan
abbr
="
idẽ
">idem</
expan
>
eſſe, quod & ſphæræ ipſum com
<
lb
/>
prehendentis centrum. </
s
>
<
s
id
="
s.000861
">quæ quidem omnia demonſtraſſe
<
lb
/>
oportebat.</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000862
">
<
margin.target
id
="
marg99
"/>
corol. </
s
>
<
s
id
="
s.000863
">pri
<
lb
/>
mæ ſphæ
<
lb
/>
ricorum
<
lb
/>
Theod.
<
margin.target
id
="
marg100
"/>
6. primi
<
lb
/>
sphærico
<
lb
/>
rum.</
s
>
</
p
>
<
p
type
="
head
">
<
s
id
="
s.000864
">PROBLEMA VI. PROPOSITIO XXVIII.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000865
">DATA qualibet portione conoidis rectangu
<
lb
/>
li, abſciſſa plano ad axem recto, uel non recto; fie
<
lb
/>
ri poteſt, ut portio ſolida inſcribatur, uel circum
<
lb
/>
ſcribatur ex cylindris, uel cylindri portionibus,
<
lb
/>
æqualem habentibus altitudinem, ita ut recta li
<
lb
/>
nea, quæ inter centrum grauitatis portionis, &
<
lb
/>
figuræ inſcriptæ, uel circumſcriptæ interiicitur,
<
lb
/>
ſit minor qualibet recta linea propoſita.</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000866
">Sit portio conoidis rectanguli abc, cuius axis bd,
<
expan
abbr
="
gra-uitatisq;
">gra
<
lb
/>
uitatisque</
expan
>
centrum e: & ſit g recta linea propoſita. </
s
>
<
s
id
="
s.000867
">quam ue
<
lb
/>
ro proportionem habet linea be ad lineam g, eandem ha
<
lb
/>
beat portio conoidis ad ſolidum h: & circumſcribatur por
<
lb
/>
tioni figura, ſicuti dictum eſt, ita ut portiones reliquæ ſint
<
lb
/>
ſolido h minores: cuius quidem figuræ centrum grauitatis
<
lb
/>
ſit punctum k. </
s
>
<
s
id
="
s.000868
">Dico
<
expan
abbr
="
lineã
">lineam</
expan
>
ke minorem eſſe linea g propo
<
lb
/>
ſita. </
s
>
<
s
id
="
s.000869
">niſi enim ſit minor, uel æqualis, uel maior erit. </
s
>
<
s
id
="
s.000870
">& quo
<
lb
/>
niam figura circumſcripta ad reliquas portiones maiorem
<
lb
/>
<
arrow.to.target
n
="
marg101
"/>
<
lb
/>
proportionem habet, quàm portio conoidis ad ſolidum h;
<
lb
/>
hoc eſt maiorem, quàm bc ad g: & be ad g non minorem
<
lb
/>
habet proportionem, quàm ad ke, propterea quod ke non
<
lb
/>
ponitur minor ipſa g: habebit figura circumſcripta ad por
<
lb
/>
tiones reliquas maiorem proportionem quàm be ad ek:
<
lb
/>
<
arrow.to.target
n
="
marg102
"/>
<
lb
/>
& diuidendo portio conoidis ad reliquas portiones habe
<
lb
/>
bit maiorem, quàm bk ad Ke. </
s
>
<
s
id
="
s.000871
">quare ſi fiat ut portio </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>