DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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 - 207
>
Scan
Original
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 207
>
page
|<
<
of 207
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N10019
">
<
p
id
="
N10F7E
"
type
="
main
">
<
s
id
="
N10F94
">
<
pb
xlink:href
="
077/01/034.jpg
"
pagenum
="
30
"/>
<
arrow.to.target
n
="
fig13
"/>
<
lb
/>
gulus FEL angulo BAK æqualis; & EFL ipſi ABK. Iun
<
lb
/>
ganturquè GL LH. Dico L eſſe ſimiliter poſitum, vt K.
<
lb
/>
Quoniam enim anguli BAK ABK ſunt angulis FEL EFL
<
lb
/>
æquales, erit reliquus BKA ipſi FLE æqualis, eritquè ob ſi
<
lb
/>
<
arrow.to.target
n
="
marg14
"/>
militudinem triangulorum KA ad AB, vt LE ad EF. eſt
<
lb
/>
verò AB ad AD, vt EF ad EH propter ſimilitudinem fi
<
lb
/>
<
arrow.to.target
n
="
marg15
"/>
gurarum, erit igitur ex æquali AK ad AD, vt LE ad EH,
<
lb
/>
& quoniam angulus BAD angulo FEH eſt æqualis, & BAK
<
lb
/>
ipſi FEL æqualis; erit & reliquus angulus KAD angulo
<
lb
/>
<
arrow.to.target
n
="
marg16
"/>
LEH æqualis. </
s
>
<
s
id
="
N10FC1
">Quare triangulum KAD triangulo LEH ſi
<
lb
/>
mile exiſtit, eodemquè modo oſtendetur BKG ſimile eſſe
<
lb
/>
FLG, & KCD ipſi LGH. ex quibus conſtat angulos KBC
<
lb
/>
LFG, KCB LGF, & huiuſmodi reliquos reliquis æquales eſſe.
<
lb
/>
& ob id puncta KL in figuris ABCD EFGH eſſe ſimili
<
lb
/>
ter poſita. </
s
>
</
p
>
<
p
id
="
N10FCD
"
type
="
margin
">
<
s
id
="
N10FCF
">
<
margin.target
id
="
marg14
"/>
4
<
emph
type
="
italics
"/>
ſexti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N10FD8
"
type
="
margin
">
<
s
id
="
N10FDA
">
<
margin.target
id
="
marg15
"/>
22
<
emph
type
="
italics
"/>
quinti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
id
="
N10FE3
"
type
="
margin
">
<
s
id
="
N10FE5
">
<
margin.target
id
="
marg16
"/>
6
<
emph
type
="
italics
"/>
ſexti.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
figure
id
="
id.077.01.034.1.jpg
"
xlink:href
="
077/01/034/1.jpg
"
number
="
16
"/>
<
p
id
="
N10FF2
"
type
="
main
">
<
s
id
="
N10FF4
">Ita〈que〉 demonſtrato dari poſſe puncta in figuris ſimiliter
<
lb
/>
poſita, potuit ſanè Archimedes antecedens poſtulatum ſup
<
lb
/>
ponere, nempè inæqualium, ſed ſimilium figurarum centra
<
lb
/>
grauitatis eſſe ſimiliter poſita. </
s
>
<
s
id
="
N10FFC
">quod quidem poſtulatum eſt
<
lb
/>
rationi valde conſentaneum. </
s
>
<
s
id
="
N11000
">ex dictis enim (ſuppoſitis KL
<
lb
/>
centris grauitatum) triangulum ABK triangulo EFL ſimi
<
lb
/>
<
arrow.to.target
n
="
marg17
"/>
le exiſtit; veluti BKC ipſi FLG. & reliqua reliquis. </
s
>
<
s
id
="
N1100A
">Quare vt
<
lb
/>
AK ad KB, ſic EL ad LF, ac permutando vt AK ad EL,
<
lb
/>
ita BK ad FL. ſimiliter oſtendetur ita eſſe BK ad FL, vt
<
lb
/>
KC ad LG, & KD ad LH. quare centra grauitatis KL </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>