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
>
<
pb
xlink:href
="
043/01/165.jpg
"
pagenum
="
78
"/>
<
p
type
="
head
">
<
s
>
<
emph
type
="
italics
"/>
PROPOSITIO XLIII.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Omnis conoidis hyperbolici centrum grauita
<
lb
/>
tis eſt punctum illud, in quo duodecima pars axis
<
lb
/>
ordine quarta ab ea, quæ baſim attingit, ſic diui
<
lb
/>
ditur, vt pars baſi propinquior ſit ad reliquam, vt
<
lb
/>
ſeſquialtera tranſuerſi lateris hyperboles, quæ
<
lb
/>
conoides deſcribit ad axim conoidis. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>Sit conoides hyperbolicum ABC, cuius vertex B, axis
<
lb
/>
autem BD, qui etiam erit diameter hyperboles, quæ co
<
lb
/>
noides deſcripſit, ad quam rectæ ordinatim applicantur:
<
lb
/>
eiuſdem autem hyperboles tranſuerſum latus ſit EB, cu
<
lb
/>
ius ſit ſeſquialtera BEI, & ſumpta DQ quarta parte
<
lb
/>
axis BD, & DG, eiuſdem tertia, qua ratione erit FG
<
lb
/>
duodecima pars axis BD, & ordine quarta ab ea cuius
<
lb
/>
terminus D, fiat vt IB, ad BD, ita QH, ad HG.
<
lb
/>
</
s
>
<
s
>Dico conoidis ABC, centrum grauitatis eſſe H. </
s
>
<
s
>Sumpto
<
lb
/>
enim in linea AD quolibet puncto M, vt eſt EB ad
<
lb
/>
BD longitudine, ita fiat MD, ad DK ipſius AD po
<
lb
/>
tentia: & abſcindatur DN, æqualis DM, & DL æqua
<
lb
/>
lis DK; ſiue autem ſit DK minor, quàm DM, ſiue ma
<
lb
/>
ior, ſiue eadem illi; omnibus caſibus communis erit demon
<
lb
/>
ſtratio. </
s
>
<
s
>At per puncta M, N, vertice B, circa diametrum
<
lb
/>
BD, deſcribatur parabola MBN, & triangulum KBL.
<
lb
/>
</
s
>
<
s
>Manente igitur BD, & circumductis figuris MBN,
<
lb
/>
KBL, deſcribantur conoides parabolicum MBN, &
<
lb
/>
conus KBL, quorum communis axis erit BD, baſes
<
lb
/>
autem circuli, quorum diametri KL, MN, in eodem
<
lb
/>
plano cum baſe conoidis ABC. </
s
>
<
s
>Rurſus ſecto axe BD
<
lb
/>
bifariam, & ſingulis eius partibus ſemper bifariam in qua-</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>