Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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
>
31
32
33
34
35
36
37
38
39
40
<
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
="
043/01/039.jpg
"
pagenum
="
31
"/>
mologa; puncta igitur K, H, in prædictis triangulis ſunt
<
lb
/>
ſimiliter poſita. </
s
>
<
s
>Rurſus quoniam angulus ABC, non
<
lb
/>
eſt minor recto, acuti erunt reliqui ACB, BAC; igitur
<
lb
/>
latus AC, maximum erit: ponitur autem AB maius,
<
lb
/>
quàm BC; triangulum igitur ABC, ſcalenum erit.
<
lb
/>
</
s
>
<
s
>Eadem ratione ſcalenum eſt triangulum ACD. </
s
>
<
s
>Quare
<
lb
/>
in triangulo ACD, vnum duntaxat punctum K, ſimili
<
lb
/>
ter poſitum erit, ac punctum H, in triangulo ABC. </
s
>
<
s
>Cum
<
lb
/>
igitur H ſit centrum grauitatis trianguli ABC, erit &
<
lb
/>
K, centrum grauitatis trianguli ACD. </
s
>
<
s
>Sed longitudo
<
lb
/>
GK, æqualis eſt longitudini GH; punctum igitur G erit
<
lb
/>
centrum grauitatis parallelogrammi ABCD, in quo ni
<
lb
/>
mirum ſecta eſt bifariam diameter AC: quare ſi ducatur
<
lb
/>
altera diameter BD, in medio etiam diametri BD, erit
<
lb
/>
idem centrum grauitatis G. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Sed ſint omnia latera æqualia
<
expan
abbr
="
parallelogrãmi
">parallelogrammi</
expan
>
ABCD,
<
lb
/>
Sectisque duobus lateribus AD, BC, bifariam in E, F
<
lb
/>
iungantur EF, AE, ED,
<
lb
/>
AGC, & per punctum G,
<
lb
/>
ducatur ipſi AD, vel BC,
<
lb
/>
parallela HGK. </
s
>
<
s
>Quoniam
<
lb
/>
igitur EC, eſt æqualis
<
lb
/>
AF, erit CG æqualis AG,
<
lb
/>
& EG, æqualis GF, pro
<
lb
/>
pter ſimilitudinem triangu
<
lb
/>
lorum: nec non EH, ipſi
<
lb
/>
AH, & EK, ipſi KD: tres
<
lb
/>
igitur diametri AC, AE,
<
lb
/>
ED, erunt ſectæ bifariam
<
lb
/>
<
figure
id
="
id.043.01.039.1.jpg
"
xlink:href
="
043/01/039/1.jpg
"
number
="
22
"/>
<
lb
/>
in punctis K, G, H: & quoniam ex æquali propter triangu
<
lb
/>
la ſimilia eſt vt AF, ad FD, ita HG, ad GK, erit HG,
<
lb
/>
æqualis ipſi GK: ſed puncta K, H, ſunt centra grauitatis
<
lb
/>
parallelogrammorum BF, FC; igitur totius parallelo
<
lb
/>
grammi ABCD, centrum grauitatis erit G, in medio </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>