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
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 145
>
page
|<
<
of 145
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
pb
xlink:href
="
063/01/124.jpg
"/>
<
p
type
="
main
">
<
s
>In quâ proportione ſinguli orbiculi ferantur, cùm tres con
<
lb
/>
tigui ab æquali impelluntur, dictum Theor: 14. </
s
>
<
s
>Quòd ſi ve
<
lb
/>
rò idem orbiculus non niſi duos habeat ſibi contiguos; aut ipſi
<
lb
/>
<
expan
abbr
="
quoq;
">quoque</
expan
>
erunt contigui inter ſe, aut non contigui. ſint primùm
<
lb
/>
contigui. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
THEOREMA V.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Si in diametro orbiculi productâ fiat contactus orbiculorum; percu
<
lb
/>
tiat verò hunc alius æqualis in parte oppoſitâ diametri; eo immoto u
<
lb
/>
ter〈que〉 contiguorum movetur.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>Percutiat orbiculum A alius æqualis in F: in cuius diametro
<
lb
/>
productâ FQ fiat contactus orbiculorum CD: dico immo
<
lb
/>
to A
<
expan
abbr
="
utrumq;
">utrumque</
expan
>
orbiculum C & D moveri ex illâ plagâ. </
s
>
<
s
>Du
<
lb
/>
catur linea hypomochlij HG: & ad eam perpendicularis AN
<
lb
/>
quæ ſecabitur in duo ſegmenta æqualia AS. NS. propterea
<
lb
/>
quòd AS ſit ſinus rectus grad: 30. ſemiſſis nimirum GI grad:
<
lb
/>
60. habebit ergo plaga ſemiſſem totius impulſûs: qui per po
<
lb
/>
ſit:4 velocitate feretur ſubduplâ illius velocitatis. quâ orbicu
<
lb
/>
lus A moveretur. </
s
>
<
s
>Quod idem dicendum de orbiculo D. </
s
>
<
lb
/>
<
s
>Cùm
<
expan
abbr
="
itaq;
">itaque</
expan
>
duo orbiculi C&D ſimul contineant totum impul
<
lb
/>
ſum ex A; erit plaga perfecta: ac proinde orbiculus A à motu
<
lb
/>
conquieſcet. </
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
center
"/>
THEOREMA XVI.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
>
<
emph
type
="
italics
"/>
Si diameter orbiculi producta ſecet unum exorbiculis ſibi contiguis;
<
lb
/>
percutiat verò hunc alius æqualis in parte oppoſitâ diametri productæ;
<
lb
/>
eo immoto, uter〈qué〉 orbiculorum eidem contiguorum movebitur.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>