Valerio, Luca
,
De centro gravitatis solidorvm libri tres
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 283
>
81
82
83
84
85
86
87
88
89
90
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 283
>
page
|<
<
of 283
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
043/01/191.jpg
"
pagenum
="
12
"/>
tiam partem quadrati DE. </
s
>
<
s
>Abſciſsis enim æqualibus EL
<
lb
/>
ipſi BC, & FM ipſi AC, & EG, ipſi AB, conſtituantur
<
lb
/>
priſmata ABCLEG, AGMFCL, ANHDGM, &
<
lb
/>
pyramis ADGM, & iungatur ML. </
s
>
<
s
>Quoniam igitur ob pa
<
lb
/>
rallelas EF, GM, & DF, GL, ſimilia inter ſe ſunt trian
<
lb
/>
gula DEF, DGM, EGL, duplicatam inter ſe habebunt
<
lb
/>
laterum ho mologorum DE, DG, GE, proportionem,
<
lb
/>
hoc eſt eandem, quæ totidem eſt quadratorum ex ipſis DE,
<
lb
/>
DG, GE, prout inter ſe reſpondent: vt igitur DG qua
<
lb
/>
dratum ad quadratum DE, ita eſt triangulum DGM
<
lb
/>
ad triangulum DEF: eademque ratione vt quadratum
<
lb
/>
GE ad DE quadratum, ita trian
<
lb
/>
gulum EGL ad triangulum D
<
lb
/>
EF: & vt prima cum quinta ad
<
lb
/>
ſecundam, ita tertia cum ſexta ad
<
lb
/>
quartam: videlicet, vt duo qua
<
lb
/>
drata DG, GE, ad quadratum
<
lb
/>
DE, ita duo triangula DGM,
<
lb
/>
EGL, ad triangulum DEF. &
<
lb
/>
conuertendo, & per conuerſionem
<
lb
/>
rationis, vt quadratum DE ad
<
lb
/>
rectangulum DGE bis, ita trian
<
lb
/>
gulum DEF, ad parallelogram
<
lb
/>
<
figure
id
="
id.043.01.191.1.jpg
"
xlink:href
="
043/01/191/1.jpg
"
number
="
143
"/>
<
lb
/>
mum GF: & conuertendo, vt rectangulum DGE bis, ad
<
lb
/>
quadratum DE, ita GF parallelogrammum ad triangu
<
lb
/>
lum DEF: & antecedentium dimidia, vt rectangulum
<
lb
/>
DGE ad quadratum DE, ita triangulum GML ad
<
lb
/>
triangulum DEF; hoc eſt priſma, cuius baſis triangulum
<
lb
/>
GLM, altitudo eadem priſmati H
<
emph
type
="
italics
"/>
K
<
emph.end
type
="
italics
"/>
F ad priſma HKF. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Rurſus, quoniam eſt vt quadratum EG ad quadratum
<
lb
/>
ED, ita triangulum EGL ad triangulum DEF; erit ſi
<
lb
/>
militer vt quadratum EG ad quadratum ED, ita priſma
<
lb
/>
BGL ad priſma HKF: ſed vt rectangulum DGE ad
<
lb
/>
quadratum DE, ita priſma erat, cuius baſis triangulum G </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>