Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 145
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
063/01/010.jpg
"/>
<
arrow.to.target
n
="
fig1
"/>
<
lb
/>
<
emph
type
="
italics
"/>
puncto B, ad A perneniret lapſu verticali. </
s
>
<
s
>Cùm enim illa duo ſeg
<
lb
/>
menta Sphærica GHF, GIF, habeant centrum grauitatis in lineà
<
lb
/>
GF: ſit〈que〉 F hypomochlium, æquiponderabunt: quare reliqua tantum
<
lb
/>
Sphæræ pars GKFI deorſum producet impulſum: Quare & im
<
lb
/>
pulſus motum ſibi æqualem per prop: 2. Doctoris. </
s
>
<
s
>Eſt autem ut pars
<
lb
/>
Sphæræ GKFI ad totam Sphæram, ita partis eiuſdem impulſus ad to
<
lb
/>
tius Sphæræ impulſum per propoſ: 2. in Archimede promoto: quare & mo
<
lb
/>
tus partis eiuſdem ad motum totius erit in eadem ratione. </
s
>
<
s
>Permutan
<
lb
/>
do ergo & velocitas partis ad velocitatem totius per Propoſ.
<
emph.end
type
="
italics
"/>
10.
<
emph
type
="
italics
"/>
Doctor:
<
lb
/>
ergo et interuallum BF ad interuallum BA, uti pars Sphæræ GK
<
lb
/>
FI ad totam Sphæram per propſ: 7. eiuſdem.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
figure
id
="
id.063.01.010.1.jpg
"
xlink:href
="
063/01/010/1.jpg
"
number
="
3
"/>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Sed pars GKFI non eſt ad totam Sphæram uti CD ad DF, quod
<
lb
/>
certum eſt: & patet ex hoc diſcurſu. </
s
>
<
s
>Fingatur enim mente recta H
<
lb
/>
D per verticalem GF diuiſa bifariam. tunc ſi eſſet ut CD ad FD Sim
<
lb
/>
pla ad duplam, ita reliqua magnitudo (ablatis duobus ſegmentis Sphæ
<
lb
/>
ricis illis dictis) ad totam: Eſſet etiam tota magnitudo dupla illius
<
lb
/>
partis GKFI: quod ad oculum falſum factâ figurâ apparebit. </
s
>
<
s
>Ergo
<
lb
/>
ne〈que〉 interuallum BF ad interuallum BA, uti CD ad DF, quod
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>