Valerio, Luca
,
De centro gravitatis solidorum
,
1604
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 283
>
Scan
Original
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 283
>
page
|<
<
of 283
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
043/01/030.jpg
"
pagenum
="
22
"/>
lo KLM: ſed triangulum FGH, eſt ſimile triangulo
<
lb
/>
ABC, & triangulum KLM, ſimile eidem triangulo
<
lb
/>
ABC;
<
expan
abbr
="
triangulũ
">triangulum</
expan
>
ergo FGH, ſimile erit triangulo KLM:
<
lb
/>
ſed & æquale propter æqualitatem laterum homologo
<
lb
/>
rum. </
s
>
<
s
>Similiter oſtenderemus reliquum ſolidum LKM
<
lb
/>
GFH continentia triangula bina oppoſita æqualia
<
lb
/>
inter ſe, & ſimilia, & parallela; octaedrum eſt igitur
<
lb
/>
LKMGFH. </
s
>
<
s
>Dico iam punctum P, quod eſt cen
<
lb
/>
trum pyramidis ABCD, eſse centrum octaedri L
<
emph
type
="
italics
"/>
K
<
emph.end
type
="
italics
"/>
<
lb
/>
MGFH. </
s
>
<
s
>Quoniam enim DP, ponitur tripla ipſius PE,
<
lb
/>
& DO, eſt æqualis
<
lb
/>
OE (ſiquidem planum
<
lb
/>
trianguli KLM, plano
<
lb
/>
<
expan
abbr
="
triãguli
">trianguli</
expan
>
ABC, paralle
<
lb
/>
lum ſecat proportione
<
lb
/>
<
expan
abbr
="
oẽs
">oens</
expan
>
rectas lineas, quæ
<
lb
/>
ex puncto D, in ſubli
<
lb
/>
mi pertinent ad ſubie
<
lb
/>
ctum planum trianguli
<
lb
/>
ABC) erit OP, ipſi
<
lb
/>
PE, æqualis. </
s
>
<
s
>Et quo
<
lb
/>
niam BH eſt dupla
<
lb
/>
ipſius QH, quarum
<
lb
/>
BE eſt dupla ipſius
<
lb
/>
<
figure
id
="
id.043.01.030.1.jpg
"
xlink:href
="
043/01/030/1.jpg
"
number
="
16
"/>
<
lb
/>
EH, ſiquidem E eſt centrum trianguli ABC; erit reli
<
lb
/>
qua EH reliquæ EQ dupla: & quia eſt vt LD ad DB,
<
lb
/>
ita LN ad BH, propter ſimilitudinem triangulorum, &
<
lb
/>
eſt LD, dimidia ipſius BD, erit & LN, dimidia ipſius
<
lb
/>
BH: ſed QH eſt dimidia ipſius BH; æqualis igitur LN
<
lb
/>
ipſi QH. </
s
>
<
s
>Iam igitur quia eſt vt BE ad EH, ita
<
lb
/>
LO ad ON: ſed BE, eſt dupla ipſius EH; dupla igi
<
lb
/>
tur LO, erit ipſius ON: ſed & QH erat dupla ipſius
<
lb
/>
QE; vt igitur LN ad NO, ita erit HQ ad QE: & </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>