Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 101
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.000300
">
<
pb
pagenum
="
13
"
xlink:href
="
023/01/033.jpg
"/>
trianguli ghK, & ipſius
<
foreign
lang
="
grc
">ρτ</
foreign
>
axis medium.</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000301
">
<
margin.target
id
="
marg35
"/>
5.huius</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000302
">
<
margin.target
id
="
marg36
"/>
2. ſexti.
<
lb
/>
12 quinti.</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000303
">
<
margin.target
id
="
marg37
"/>
2. ſexti.</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000304
">
<
margin.target
id
="
marg38
"/>
19. ſexti</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000305
">
<
margin.target
id
="
marg39
"/>
2. uel 12.
<
lb
/>
quinti.</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000306
">
<
margin.target
id
="
marg40
"/>
8. quinti.</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000307
">
<
margin.target
id
="
marg41
"/>
28. unde
<
lb
/>
cimi</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000308
">
<
margin.target
id
="
marg42
"/>
15. quinti</
s
>
</
p
>
<
p
type
="
margin
">
<
s
id
="
s.000309
">
<
margin.target
id
="
marg43
"/>
19. quinti
<
lb
/>
apud
<
expan
abbr
="
Cãpanum
">Cam
<
lb
/>
panum</
expan
>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000310
">Sit priſma ag, cuius oppoſita plana ſint quadrilatera
<
lb
/>
abcd, efgh:
<
expan
abbr
="
ſecenturq;
">ſecenturque</
expan
>
ac, bf, cg, dh bifariam: & per di
<
lb
/>
uiſiones planum ducatur; quod ſectionem faciat quadrila
<
lb
/>
terum Klmn. </
s
>
<
s
id
="
s.000311
">Deinde iuncta ac per lineas ac, ae ducatur
<
lb
/>
planum
<
expan
abbr
="
ſecãs
">ſecans</
expan
>
priſma, quod ipſum diuidet in duo priſmata
<
lb
/>
triangulares baſes habentia abcefg, adcehg. </
s
>
<
s
id
="
s.000312
">Sint
<
expan
abbr
="
autẽ
">autem</
expan
>
<
lb
/>
<
figure
id
="
id.023.01.033.1.jpg
"
xlink:href
="
023/01/033/1.jpg
"
number
="
24
"/>
<
lb
/>
triangulorum abc, efg gra
<
lb
/>
uitatis centra op: & triangu
<
lb
/>
lorum adc, ehg centra qr:
<
lb
/>
<
expan
abbr
="
iunganturq;
">iunganturque</
expan
>
op, qr; quæ pla
<
lb
/>
no klmn occurrant in pun
<
lb
/>
ctis st. </
s
>
<
s
id
="
s.000313
">erit ex iis, quæ demon
<
lb
/>
ſtrauimus, punctum s grauita
<
lb
/>
tis centrum trianguli klm; &
<
lb
/>
ipſius priſmatis abcefg: pun
<
lb
/>
ctum uero t centrum grauita
<
lb
/>
tis trianguli Knm, & priſma
<
lb
/>
tis adc, ehg. </
s
>
<
s
id
="
s.000314
">iunctis igitur
<
lb
/>
oq, pr, st, erit in linea oq
<
expan
abbr
="
cẽ
">cen</
expan
>
<
lb
/>
trum grauitatis quadrilateri
<
lb
/>
abcd, quod ſit u: & in linea
<
lb
/>
pr
<
expan
abbr
="
cẽtrum
">centrum</
expan
>
quadrilateri efgh
<
lb
/>
ſit autem x. </
s
>
<
s
id
="
s.000315
">denique iungatur
<
lb
/>
u x, quæ ſecet lineam ſ t in y. </
s
>
<
s
id
="
s.000316
">ſe
<
lb
/>
cabit enim cum ſint in eodem
<
lb
/>
<
arrow.to.target
n
="
marg44
"/>
<
lb
/>
plano:
<
expan
abbr
="
atq;
">atque</
expan
>
erit y grauitatis centrum quadrilateri Klmn. </
s
>
<
lb
/>
<
s
id
="
s.000317
">Dico idem punctum y centrum quoque gra uitatis eſſe to
<
lb
/>
tius priſmatis. </
s
>
<
s
id
="
s.000318
">Quoniam enim quadrilateri klmn graui
<
lb
/>
tatis centrum eſt y: linea sy ad yt ean dem proportionem
<
lb
/>
habebit, quam triangulum knm ad triangulum klm, ex 8
<
lb
/>
Archimedis de centro grauitatis planorum. </
s
>
<
s
id
="
s.000319
">Vt autem
<
expan
abbr
="
triã
">trian</
expan
>
<
lb
/>
gulum knm ad ipſum klm, hoc eſt ut triangulum adc ad
<
lb
/>
triangulum abc, æqualia enim ſunt, ita priſma adcehg </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>