Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 101
>
Scan
Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
<
1 - 30
31 - 60
61 - 90
91 - 101
>
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
>