Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Figures
Thumbnails
page
|<
<
of 360
>
>|
<
archimedes
>
<
text
>
<
body
>
<
chap
>
<
p
type
="
main
">
<
s
id
="
s.001567
">
<
pb
pagenum
="
201
"
xlink:href
="
028/01/241.jpg
"/>
tamen inſinuabatur in duobus conſectariis, ecce quo
<
lb
/>
modò ea probetur. </
s
>
<
s
id
="
s.001568
">NC, & CD debent, per
<
lb
/>
<
figure
id
="
id.028.01.241.1.jpg
"
xlink:href
="
028/01/241/1.jpg
"
number
="
47
"/>
<
lb
/>
te, eſſe æquales; quoniam vtraque, per te, de
<
lb
/>
bet eſſe æqualis lineæ AC: quare &, ſi æquali
<
lb
/>
percurrantur tempore, æquali percurrentur ve
<
lb
/>
locitate. </
s
>
<
s
id
="
s.001569
">Et de æqualitate quidem lineæ CD,
<
lb
/>
cum AC, non eſt dubium; probo de NC, AC, &
<
lb
/>
NC eadem velocitate ſecundum ſe totas per
<
lb
/>
curruntur, ex te; Ergo ſunt inter ſe æquales. </
s
>
<
s
id
="
s.001570
">Pro
<
lb
/>
batur antecedens. </
s
>
<
s
id
="
s.001571
">Ad velocitatem acquiſitam
<
lb
/>
per totam AC, addita quæ acquiritur per CD,
<
lb
/>
facit velocitatem in D duplam velocitatis in
<
lb
/>
C; ad volocitatem acquiſitam per totam NC,
<
lb
/>
addita quæ acquiritur per eandem CD, facit
<
lb
/>
itidem velocitatem in D, velocitatis in C du
<
lb
/>
plam; & vtrumque quidem per te. </
s
>
<
s
id
="
s.001572
">Igitur per te
<
lb
/>
AC, & NC, ſecundum ſe totas velocitate ea
<
lb
/>
dem percurruntur; ſuntque idcircò inter ſe
<
lb
/>
æquales. </
s
>
<
s
id
="
s.001573
">Tu ergo vim conſequutionis ex inte
<
lb
/>
gro antecedente diffimulans, infers ſolùm ex
<
lb
/>
duplo ſpatij, & temporis æqualitate, velocitates
<
lb
/>
eſſe vt ſpatia: ac retices quod intereſt, quodque
<
lb
/>
ſubnotatum fuit, cùm ſubiunxi,
<
emph
type
="
italics
"/>
conſequi, vt
<
lb
/>
velocitates per AC, & NC, acquiſitæ ſint prorſus
<
lb
/>
æquales: ac proinde vt AC, & NC, hoc est totum, &
<
lb
/>
pars eodem tempore percurrantur, &c.
<
emph.end
type
="
italics
"/>
</
s
>
<
s
id
="
s.001574
"> Sequitur. </
s
>
</
p
>
<
p
type
="
main
">
<
s
id
="
s.001575
">
<
emph
type
="
italics
"/>
Numero xli. </
s
>
<
s
id
="
s.001576
">etiam peccas; cùm, vt impugnes conſtitu
<
lb
/>
tam à me cæterarum partium toto spatio decurrendo deſigna
<
lb
/>
tarum respectum ad analoga primæ partis ſegmenta, non ſo
<
lb
/>
lùm earumdem partium reſpectum ad parteis temporis exigis,
<
emph.end
type
="
italics
"/>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>