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
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 - 145
>
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 - 145
>
page
|<
<
of 145
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
xlink:href
="
063/01/039.jpg
"/>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
THEOREMA VII.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Impulſus centri grauitatis totus mouet, cùm huius interuallum ab
<
lb
/>
hypomochlio eſt œquale ſemidiæmetro figuræ motús.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Impulſus enim centri grauitatis prohibetur à motu; cùm vel
<
lb
/>
ipſum centrum, vel pars aliqua à centro mota in hypomochlio
<
lb
/>
quieſcit. </
s
>
<
s
>At verò cùm interuallum centri grauitatis eſt æqua
<
lb
/>
le ſemidiametro figuræ motûs;
<
expan
abbr
="
neq;
">neque</
expan
>
ipſum centrum,
<
expan
abbr
="
neq;
">neque</
expan
>
ali
<
lb
/>
qua pars à centro mota in hypomochlio quieſcit: totus igitur
<
lb
/>
impulſus movet. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
THEOREMA VIII.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Impulſus movens ad totum impulſum rationem habet, quam ſegmen
<
lb
/>
tum ſemidiametri ab hypomochlic & centro grauitatis interceptum, ad
<
lb
/>
ſemidiametrum figuræ motûs.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Cùm hypomochlium ſit trutina;
<
expan
abbr
="
totusq;
">totusque</
expan
>
impulſus quieſcat,
<
lb
/>
cùm centrum hypomochlio occurrit, per theor. 6 totus verò
<
lb
/>
impulſus moveat, cùm huius à centro intervallum eſt æquale
<
lb
/>
ſemidiametro figuræ motùs per theore: 7. erit impulſus mo
<
lb
/>
uens æqualis ſegmento ſemidiemetri inter centrum grauitatis
<
lb
/>
&
<
expan
abbr
="
hypomochliũ
">hypomochlium</
expan
>
intercepto In figurâ
<
expan
abbr
="
ſequẽti
">ſequenti</
expan
>
BEC ſit A
<
expan
abbr
="
centrũ
">centrum</
expan
>
<
lb
/>
grauitatis, DE hypomochlium, & AC ſimidiameter æqualis
<
lb
/>
toti impulſui:
<
expan
abbr
="
eritq;
">eritque</
expan
>
DA interuallum centri grauitatis A &
<
lb
/>
hypomochlij DE, grauitas mouens centri A. </
s
>
<
s
>Vt enim AD ad
<
lb
/>
vectem AC; ita per Axioma 2. ratio impulſús ex eodem pon
<
lb
/>
dere A appenſo. </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>