Ceva, Giovanni
,
Geometria motus
,
1692
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
>
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
>
page
|<
<
of 110
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.000316
">
<
pb
pagenum
="
31
"
xlink:href
="
022/01/037.jpg
"/>
<
emph
type
="
italics
"/>
quadratum ex FG ad quadratum ex IH vt quadratocubus
<
lb
/>
ex FK ad quadratocubum ex IK, fuit equidem in hyperbolą
<
lb
/>
quadratoquadratocubus ex DC
<
gap
/>
quadratoquadratocubum
<
lb
/>
ex AB ſicut quadratocubus ex AE ad ſimilem poteſtatem ex
<
lb
/>
DE, ſcilicet inuariata poteſtate abſerſarum in ambabus au
<
lb
/>
uerſis. </
s
>
<
s
id
="
s.000317
">Quare ex poteſtatibus notis vnius auuerſarum fa
<
lb
/>
cilè inoteſcent poteſtates alterius, atque etiam illius magnitu
<
lb
/>
do. </
s
>
<
s
id
="
s.000318
">Nunc redeamus ad motus, nouamque adhuc methodum,
<
lb
/>
quam hoc loco reſeruauimus, afferamus.
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000319
">
<
emph
type
="
center
"/>
DEF. IX.
<
emph.end
type
="
center
"/>
</
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.000320
">SIt quædam Geneſis ACBH, cuius imago temporis
<
lb
/>
& DCB &; item ſit FCBK geneſis alterius motus ab
<
lb
/>
<
arrow.to.target
n
="
marg73
"/>
<
lb
/>
eodem C in B; & actà rectà OIGE ipſi AFCD parallelą,
<
lb
/>
ponantur CD, GE loco minimorum temporum, ita vt
<
expan
abbr
="
tẽ-pore
">ten
<
lb
/>
pore</
expan
>
CD, dum mobile ex C affectum velocitate CA,
<
lb
/>
currat minimum ſpatiolum indicatum per C, cui eſt æqua
<
lb
/>
le ſpatiolum aliud indicatum per G, quodque tranſigitur
<
lb
/>
tempore GE velocitate GD (nam vt eſſent illa ſpatia iņ
<
lb
/>
C, G æqualia, effectum fuit vt velocitas AC ad GD ean
<
lb
/>
dem reciprocè rationem haberet, ac tempus GE ad CD,
<
lb
/>
id quod patet ex natura geneſis ACBH, & imaginis &
<
lb
/>
DCB &) et hic rurſus notatu digniſſimum eſt nulli errori
<
lb
/>
obnoxium eſſe, quòd æquabiles in illis minimis ſpatiolis
<
lb
/>
intellexerimus motus, quamuis potius deberet videri, in
<
lb
/>
ijſdem interuallis reperiri innumeras, ac inæquales veloci
<
lb
/>
tates, queis nempe efficerentur motus inæquabiles, quòd
<
lb
/>
geneſes inæquabiles ſint. </
s
>
<
s
id
="
s.000321
">Cur iſta ſe ita habeant, hic non
<
lb
/>
eſt nobis diſputandum, ego enim puto, non ex indiuiſibili
<
lb
/>
velocitates alijs ſuccedere, ſed reuera minutulum tempo
<
lb
/>
ris conſiderari debere antequam motus diuerſimodè pro
<
lb
/>
cedat, nempe ac ſi velocitas, quæ ſuccedere debet priori,
<
lb
/>
non ita ſit in promptu, aut non ita ſtatim mobile afficiat ad </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>