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
>
11
12
13
14
15
16
17
18
19
20
<
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
="
063/01/016.jpg
"/>
ad ictum inclinati, quia non per centrum grauitatis ſeu impul
<
lb
/>
ſus ſecatur à lineà hypomochlij; erit ratio Plagæ, quam habet
<
lb
/>
in hypomochlio quies. quæ tantò eſt minor, quantò velociùs
<
lb
/>
centrum grauitatis à plagâ ſe abducit. </
s
>
<
s
>Quòd ſi ergo DF ſit
<
lb
/>
mora plagæ perfectæ,
<
expan
abbr
="
atq;
">atque</
expan
>
huius impulſus quadratum DF; erit
<
lb
/>
DC tempus uelocitatis motus, & huius quadratum impulſus:
<
lb
/>
reliquum ergo quadratum FC à percuſſione ſeu plagâ, impul
<
lb
/>
ſum dabit à reliquo tempore menſuratum. propterea quod
<
lb
/>
quadratum FD ſit æquale duobus quadratis CD. CF: ac pro
<
lb
/>
inde mora percuſſionis complementum CD ad ſinum
<
lb
/>
totum. </
s
>
<
s
>Eodem modo ſi plagam metiamur fientem morâ æ
<
lb
/>
quali C Flateri eiuſdem quadrati, erit huius complementum
<
lb
/>
mora impulſus reliqui. </
s
>
<
s
>
<
expan
abbr
="
Atq;
">Atque</
expan
>
ex his Soluitur illa dubitatio,
<
lb
/>
quam ob rem prop: 13. impulſu & grauitate,
<
expan
abbr
="
horumq;
">horumque</
expan
>
diuiſi
<
lb
/>
one utamur ceu lineâ rectâ, aut parallelogrammo: propoſi
<
lb
/>
tione autem 32. & 33 motum comparemus ut quadrata.
<
lb
/>
quia nimirum hic impulſum ut fientem, ac proinde iuxta mo
<
lb
/>
dum
<
expan
abbr
="
menſuramq;
">menſuramque</
expan
>
plagæ expendimus. </
s
>
<
s
>Non enim à percuſſi
<
lb
/>
one idem eſt impulſus: ſed illa portio, quæ percuſſit, illi de
<
lb
/>
cedit: Alius verò huic æqualis & oppoſitus à percuſſo rege
<
lb
/>
neratur: & cum reliquo impulſu in ordine ad motum medium
<
lb
/>
miſcetur. </
s
>
<
s
>Neceſſe ergo inter ſe conferri, ut illorum tempo
<
lb
/>
rum, in quibus producuntur, quadrata. </
s
>
<
s
>At uerò prop: 13. </
s
>
<
lb
/>
<
s
>Impulſum ſeu grauitatem in facto eſſe, & à centro grauitatis, in
<
lb
/>
quo eſt collecta, ſui replicatione in vectem æqualiter fuſam:
<
lb
/>
quam fecat bifariam linea hypomochlij in partem motam &
<
lb
/>
quieſcentem. </
s
>
<
s
>Hæc autem nullam inducit plagam: verùm
<
lb
/>
continuò in hypomochlio quieſcit, & in ordine ad motum pro
<
lb
/>
nullâ habetur. </
s
>
<
s
>Vnde augmenta velocitatis motus fiunt
<
expan
abbr
="
absq;
">absque</
expan
>
<
lb
/>
ullo ad eam reſpectu. </
s
>
<
s
>
<
expan
abbr
="
Neq;
">Neque</
expan
>
enim motu
<
expan
abbr
="
inualeſcẽte
">inualeſcente</
expan
>
augetur illa
<
lb
/>
grauitas in hypomochlio quieſcens: quòd linea hypomochlij </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>