DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
Table of figures
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 128
>
[Figure 121]
Page: 193
[Figure 122]
Page: 193
[Figure 123]
Page: 194
[Figure 124]
Page: 197
[Figure 125]
Page: 205
[Figure 126]
Page: 205
[Figure 127]
Page: 205
[Figure 128]
Page: 205
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 128
>
page
|<
<
of 207
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N10019
">
<
pb
xlink:href
="
077/01/130.jpg
"
pagenum
="
126
"/>
<
figure
id
="
id.077.01.130.1.jpg
"
xlink:href
="
077/01/130/1.jpg
"
number
="
85
"/>
<
p
id
="
N14BB7
"
type
="
main
">
<
s
id
="
N14BB9
">
<
emph
type
="
italics
"/>
Sint duo ſpacia AB CD, qualia dicta ſunt. </
s
>
<
s
id
="
N14BBD
">ipſorum autem centra
<
lb
/>
grauitatis ſint puncta EF.
<
emph.end
type
="
italics
"/>
iungaturquè EF, quæ diuidatur in
<
lb
/>
H;
<
emph
type
="
italics
"/>
& quam proportionem habet AB ad CD,
<
expan
abbr
="
eãdem
">eandem</
expan
>
habeat FH
<
lb
/>
ad HE. oſtendendum eſt magnitudmis ex utriſquè AB CD ſpa
<
lb
/>
ciis compoſitæ centrum grauitaias eſſe punctum H. ſit quidemipſi EH
<
lb
/>
utra〈que〉 ipſarum FG FK æqualis; ipſi autem FH, hocest GE
<
emph.end
type
="
italics
"/>
<
lb
/>
(ſuntenim EH GF æquales, à quibus dempta communi
<
lb
/>
GH remanent EG HF ęquales)
<
emph
type
="
italics
"/>
ſit æqualis EL.
<
emph.end
type
="
italics
"/>
&
<
expan
abbr
="
quoniã
">quoniam</
expan
>
<
lb
/>
FH eſt æqualis LE, & FK ipſi EH,
<
emph
type
="
italics
"/>
erit & LH ipſi KH
<
lb
/>
æqualis.
<
emph.end
type
="
italics
"/>
Cùm autem ſit FH ad HE, vt AB ad CD; ipſi
<
lb
/>
verò FH vtra〈que〉 ſit æqualis LE EG. ipſi autem HE vtra
<
lb
/>
〈que〉 æqualis GF FK,
<
emph
type
="
italics
"/>
erit
<
expan
abbr
="
etiã
">etiam</
expan
>
ut LG ad G
<
emph.end
type
="
italics
"/>
k,
<
emph
type
="
italics
"/>
ita AB ad CD.
<
emph.end
type
="
italics
"/>
<
lb
/>
cùm ſit LG ad GK, vt FH ad HE;
<
emph
type
="
italics
"/>
aupla enim est utra〈que〉
<
emph.end
type
="
italics
"/>
<
lb
/>
EG GK
<
emph
type
="
italics
"/>
utriuſ〈que〉
<
emph.end
type
="
italics
"/>
FH HE.
<
emph
type
="
italics
"/>
At uerò circa punctum
<
emph.end
type
="
italics
"/>
E
<
emph
type
="
italics
"/>
ipſius
<
lb
/>
AB,
<
emph.end
type
="
italics
"/>
quod eſt eius centrum grauitatis,
<
emph
type
="
italics
"/>
ex utra〈que〉 parte lineæ LG,
<
lb
/>
ipſi LG æquidistantes ducantur
<
emph.end
type
="
italics
"/>
MO QN, quæ æqualiter ab
<
lb
/>
LG diſtent, ductis ſcilicet MQ ON æquidiſtantibus, ſint
<
lb
/>
LM LQ GO GN inter ſe æquales;
<
emph
type
="
italics
"/>
ita ut ſpacium MN ſit
<
lb
/>
ſpacio AB æquale
<
emph.end
type
="
italics
"/>
: quod quidem applicatum eſt ad
<
expan
abbr
="
lineã
">lineam</
expan
>
LG.
<
lb
/>
<
arrow.to.target
n
="
marg201
"/>
<
emph
type
="
italics
"/>
erit uti〈que〉 ipſius MN centrum grauitatis punctum E.
<
emph.end
type
="
italics
"/>
cùm ſit
<
expan
abbr
="
pũ-ctum
">pun
<
lb
/>
ctum</
expan
>
E in medio lineæ LG, quæ bifariam diuidit latera
<
lb
/>
oppoſita MQ ON parallelogrammi MN.
<
emph
type
="
italics
"/>
compleatur ita
<
lb
/>
〈que〉 ſpacium NX. habebit quidem MN. ad NX proportionem,
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>