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 concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 145
>
Scan
Original
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 145
>
page
|<
<
of 145
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
>
<
pb
xlink:href
="
063/01/123.jpg
"/>
ſingulis ſinguli. nempe ab
<
emph
type
="
italics
"/>
a
<
emph.end
type
="
italics
"/>
ipſum
<
emph
type
="
italics
"/>
d,
<
emph.end
type
="
italics
"/>
& à
<
emph
type
="
italics
"/>
b
<
emph.end
type
="
italics
"/>
ipſum
<
emph
type
="
italics
"/>
e,
<
emph.end
type
="
italics
"/>
at〈que〉 de
<
lb
/>
mum
<
emph
type
="
italics
"/>
f
<
emph.end
type
="
italics
"/>
à
<
emph
type
="
italics
"/>
c.
<
emph.end
type
="
italics
"/>
Ducantur per illorum centra rectæ
<
emph
type
="
italics
"/>
da. eb. fc:
<
emph.end
type
="
italics
"/>
&
<
lb
/>
producantur extra circulum in
<
emph
type
="
italics
"/>
o.p.q,
<
emph.end
type
="
italics
"/>
adintervallum ſemidia
<
lb
/>
metri eiuſdem circuli: à quibus ducantur aliæ rectæ
<
emph
type
="
italics
"/>
ok. pk. qk
<
emph.end
type
="
italics
"/>
<
lb
/>
per centrum orbiculi
<
emph
type
="
italics
"/>
k
<
emph.end
type
="
italics
"/>
maioris. </
s
>
<
s
>Quòd ſi
<
expan
abbr
="
itaq;
">itaque</
expan
>
orbiculi
<
emph
type
="
italics
"/>
g. h. i
<
emph.end
type
="
italics
"/>
<
lb
/>
contigui orbiculo
<
emph
type
="
italics
"/>
k
<
emph.end
type
="
italics
"/>
habeant centra in eiſdem lineis
<
emph
type
="
italics
"/>
ok. pk. qk:
<
emph.end
type
="
italics
"/>
<
lb
/>
percutiat verò orbiculum
<
emph
type
="
italics
"/>
k
<
emph.end
type
="
italics
"/>
alius æqualis, vel maior
<
emph
type
="
italics
"/>
l
<
emph.end
type
="
italics
"/>
in
<
emph
type
="
italics
"/>
w
<
emph.end
type
="
italics
"/>
: di
<
lb
/>
co orbiculos
<
emph
type
="
italics
"/>
g.h.i
<
emph.end
type
="
italics
"/>
ex illâ plagâ percutere orbiculos
<
emph
type
="
italics
"/>
a.b.c:
<
emph.end
type
="
italics
"/>
ab
<
lb
/>
his verò rurſum percuti orbiculos
<
emph
type
="
italics
"/>
d.e.f.
<
emph.end
type
="
italics
"/>
<
lb
/>
Cùm enim orbiculi
<
emph
type
="
italics
"/>
g.h.i
<
emph.end
type
="
italics
"/>
ſint minores quàm
<
emph
type
="
italics
"/>
k;
<
emph.end
type
="
italics
"/>
movebuntur
<
lb
/>
exillâ plagâ per coroll: Theor: 14. </
s
>
<
s
>Et quia percuſſio, & qui
<
lb
/>
hanc ſequitur impulſus, fit per lineam rectam productam à con
<
lb
/>
tactu per centrum corporis percuſſi per 5 Theor: 2 part: erit
<
lb
/>
motus orbiculi
<
emph
type
="
italics
"/>
g
<
emph.end
type
="
italics
"/>
in lineâ
<
emph
type
="
italics
"/>
go.
<
emph.end
type
="
italics
"/>
Ducatur per contactum linea
<
emph
type
="
italics
"/>
rs
<
emph.end
type
="
italics
"/>
<
lb
/>
parallela ipſi
<
emph
type
="
italics
"/>
ok:
<
emph.end
type
="
italics
"/>
quæ ſi ſecet orbiculum
<
emph
type
="
italics
"/>
a,
<
emph.end
type
="
italics
"/>
erit linea hypomo
<
lb
/>
chlij, & complementum
<
emph
type
="
italics
"/>
os
<
emph.end
type
="
italics
"/>
eiuſdem plaga: quæ ex demonſtra
<
lb
/>
tis orbiculum
<
emph
type
="
italics
"/>
a
<
emph.end
type
="
italics
"/>
movebit per rectam
<
emph
type
="
italics
"/>
ad.
<
emph.end
type
="
italics
"/>
Quòd ſi verò recta
<
lb
/>
<
emph
type
="
italics
"/>
rs
<
emph.end
type
="
italics
"/>
cadat extra
<
expan
abbr
="
utrumq;
">utrumque</
expan
>
orbiculum; problema locum non ha
<
lb
/>
bebit. </
s
>
<
s
>Non eſt tamen neceſse per
<
expan
abbr
="
utrumq;
">utrumque</
expan
>
centrum duci li
<
lb
/>
neam rectam; niſi cùm totum impulſum dare volumus orbi
<
lb
/>
culo percuſlo: ſed ſufficit, ſi ex centro unius producta linea re
<
lb
/>
cta tangat, vel ſecet
<
expan
abbr
="
quacunq;
">quacunque</
expan
>
ratione alterum orbiculum. </
s
>
<
lb
/>
<
s
>Eadem ratione oſtendemus orbiculos
<
emph
type
="
italics
"/>
b
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
c
<
emph.end
type
="
italics
"/>
percuti ab
<
emph
type
="
italics
"/>
h
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
i:
<
emph.end
type
="
italics
"/>
<
lb
/>
percutere verò eoſdem
<
emph
type
="
italics
"/>
e
<
emph.end
type
="
italics
"/>
&
<
emph
type
="
italics
"/>
f.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
DE
<
lb
/>
PROPORTIONE MOTVS ORBICVLO
<
lb
/>
RVM TAM AD SE, QVAM AD MOTVM
<
lb
/>
ORBICVLI CONTIGVI, A QVO
<
lb
/>
IMPELLVNTVR.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>