Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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
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 - 210
211 - 240
241 - 270
271 - 283
>
page
|<
<
of 283
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
xlink:href
="
043/01/020.jpg
"
pagenum
="
12
"/>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO IV.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Datis duobus triangulis ſcalenis ſimilibus, &
<
lb
/>
dato puncto in altero eorum, vnum duntaxat pun
<
lb
/>
ctum in reliquo triangulo prædicto puncto ſimi
<
lb
/>
liter poſitum poteſt inueniri. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Sint data duo triangula ſcalena ſimilia ABC, DEF,
<
lb
/>
& in triangulio ABC datum punctum G: ſint autem
<
lb
/>
hæc triangula ſimiliter poſita. </
s
>
<
s
>Dico in triangulo DEF,
<
lb
/>
vnum duntaxat punctum puncto G ſimiliter poſitum in
<
lb
/>
ueniri poſse. </
s
>
<
s
>Iunctis enim AG, BG, GC, ponatur
<
lb
/>
angulus EDH, æqualis angulo BAG, & angulus DEH,
<
lb
/>
<
figure
id
="
id.043.01.020.1.jpg
"
xlink:href
="
043/01/020/1.jpg
"
number
="
10
"/>
<
lb
/>
æqualis angulo ABG, & HF iungatur. </
s
>
<
s
>Manifeſtum
<
lb
/>
eſt igitur ex præcedentis Theorematis demonſtratione,
<
lb
/>
triangula EDH, HDF, FEH, ſimilia eſse triangulis
<
lb
/>
BAG, GAC, CBG, prout inter ſe reſpondent poſi
<
lb
/>
tione, quorum ſex triangulorum binis quibuſque binæ ba
<
lb
/>
ſes homologæ reſpondent: AB ED, AC DF, BC </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>