DelMonte, Guidubaldo
,
Mechanicorvm Liber
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 - 288
>
Scan
Original
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 288
>
page
|<
<
of 288
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N128CF
">
<
pb
xlink:href
="
036/01/098.jpg
"/>
<
p
id
="
id.2.1.85.8.0.0.0
"
type
="
main
">
<
s
id
="
id.2.1.85.8.1.1.0
">Sit vectis AB, cuius ful
<
lb
/>
cimentum C; & ex puncto B
<
lb
/>
ſit pondus D ſuſpenſum; ſitq;
<
lb
/>
potentia in A mouens pon
<
lb
/>
dus D vecte AB. </
s
>
<
s
id
="
id.2.1.85.8.1.1.0.a
">Dico ſpa
<
lb
/>
tium potentiæ in A ad ſpa
<
lb
/>
tium ponderis ita eſſe, vt CA
<
lb
/>
ad CB. </
s
>
<
s
id
="
id.2.1.85.8.1.1.0.b
">Moueatur vectis AB,
<
lb
/>
& vt pondus D ſurſum mo
<
lb
/>
ueatur, oportet B ſurſum mo
<
lb
/>
ueri, A verò deorſum. </
s
>
<
s
id
="
id.2.1.85.8.1.2.0
">& quo
<
lb
/>
niam C eſt punctum immobi
<
lb
/>
le; idcirco dum A, & B mo
<
lb
/>
uentur,
<
expan
abbr
="
circulorũ
">circulorum</
expan
>
circumferen
<
lb
/>
tias deſcribent. </
s
>
<
s
id
="
id.2.1.85.8.1.3.0
">Moueatur igi
<
lb
/>
tur AB in EF; erunt AE
<
lb
/>
<
figure
id
="
id.036.01.098.1.jpg
"
place
="
text
"
xlink:href
="
036/01/098/1.jpg
"
number
="
91
"/>
<
lb
/>
BF circulorum circumferentiæ, quorum ſemidiametri ſunt CA
<
lb
/>
CB. </
s
>
<
s
id
="
N12D91
">tota compleatur circumferentia AGE, & tota BHF; ſintq;
<
lb
/>
KH puncta, vbi AB, & EF circulum BHF ſecant. </
s
>
<
s
id
="
id.2.1.85.8.1.4.0
">Quoniam e
<
lb
/>
<
arrow.to.target
n
="
note139
"/>
nim angulus BCF eſt æqualis angulo HCk; erit circumferentia
<
lb
/>
<
arrow.to.target
n
="
note140
"/>
kH circumferentiæ BF æqualis. </
s
>
<
s
id
="
id.2.1.85.8.1.5.0
">cùm autem circumferentiæ AE
<
lb
/>
kH ſint ſub eodem angulo ACE, & circumferentia AE ad to
<
lb
/>
tam circumferentiam AGE ſit, vt angulus ACE ad quatuor re
<
lb
/>
ctos; vt autem idem angulus HCk ad quatuor rectos, ita quoq;
<
lb
/>
eſt circumferentia HK ad totam circumferentiam HBK; erit cir
<
lb
/>
cumferentia AE ad totam circumferentiam AGE, vt circumfe
<
lb
/>
<
arrow.to.target
n
="
note141
"/>
rentia kH ad totam kFH. </
s
>
<
s
id
="
id.2.1.85.8.1.5.0.a
">& permutando, vt circumferentia
<
lb
/>
AE ad circumferentiam kH, hoc eſt BF, ita tota circumferen
<
lb
/>
tia AGE ad totam circumferentiam BHF. </
s
>
<
s
id
="
id.2.1.85.8.1.5.0.b
">tota verò circumfe
<
lb
/>
rentia AGE ita ſe habet ad totam BHF, vt diameter circuli AEG
<
lb
/>
<
arrow.to.target
n
="
note142
"/>
ad diametrum circuli BHF. </
s
>
<
s
id
="
id.2.1.85.8.1.5.0.c
">Vt igitur circumferentia AE ad cir
<
lb
/>
<
arrow.to.target
n
="
note143
"/>
cumferentiam BF, ita diameter circuli AGE ad diametrum cir
<
lb
/>
culi BHF: vt autem diameter ad diametrum, ita ſemidiameter
<
lb
/>
ad ſemidiametrum, hoc eſt CA ad CB: quare vt circumferen
<
lb
/>
tia AE ad circumferentiam BF, ita CA ad CF. </
s
>
<
s
id
="
N12DD0
">circumferentia
<
lb
/>
verò AE ſpatium eſt potentiæ motæ, & circumferentia BF eſt </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>