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
>
41
42
43
44
45
46
47
48
49
50
<
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
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
063/01/048.jpg
"/>
pla, per 1. lemma: erit grauitas quieſcens in
<
expan
abbr
="
utroq;
">utroque</
expan
>
triangulo
<
lb
/>
æqualis; ac proinde æqualiter grauitabit. </
s
>
<
s
>At verò ſi augeatur
<
lb
/>
ratio grauitatis moventis ad quieſcentem; quia tum minor
<
lb
/>
grauitas quieſcit, minùs
<
expan
abbr
="
quoq;
">quoque</
expan
>
hypomochlium grauitabit. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
THEOREMA XV.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
<
emph
type
="
italics
"/>
Figura rectilinea, quæ plura habet latera, velociùs mouetur in
<
lb
/>
eodem plano inclinato.
<
emph.end
type
="
italics
"/>
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Moveatur in eodem plano AN triangulum ABC, & quadra
<
lb
/>
tum AEFC: Dico huius motum eſſe velociorem. </
s
>
<
s
>Secetur
<
lb
/>
enim in triangulo ABC ſemidiameter figuræ motûs DI â li
<
lb
/>
neâ hypomochlij CL bifariam & æqualiter in L, per primum
<
lb
/>
lemma: & ducatur in quadrato AEFC ſemidiameter figuræ
<
lb
/>
motûs GH: quæ maior erit ſemidiametro figuræ motûs DI. </
s
>
<
lb
/>
<
s
>Propterea quòd per lemma 3 maior ſit GO quàm DO. </
s
>
<
s
>Etad
<
lb
/>
ditâ communi OP maior GP, quàm DP. </
s
>
<
s
>Et quia ut GP ad
<
lb
/>
<
arrow.to.target
n
="
fig11
"/>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>