Casati, Paolo
,
De igne dissertationes physicae
,
1686
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Table of figures
<
1 - 18
[out of range]
>
<
1 - 18
[out of range]
>
page
|<
<
(54)
of 672
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div14
"
type
="
section
"
level
="
1
"
n
="
13
">
<
p
>
<
s
xml:id
="
echoid-s1783
"
xml:space
="
preserve
">
<
pb
o
="
54
"
file
="
0066
"
n
="
66
"
rhead
="
Diſſertatio Tertia.
"/>
grauitati addita conſtituit aliquid magis graue; </
s
>
<
s
xml:id
="
echoid-s1784
"
xml:space
="
preserve
">igitur & </
s
>
<
s
xml:id
="
echoid-s1785
"
xml:space
="
preserve
">leue
<
lb
/>
additum leui facit aliquid leuius: </
s
>
<
s
xml:id
="
echoid-s1786
"
xml:space
="
preserve
">quapropter, cum aër in folle
<
lb
/>
pugillatorio additus aëri efficiat molem grauiorem, indicium eſt
<
lb
/>
graue additum fuiſſe graui. </
s
>
<
s
xml:id
="
echoid-s1787
"
xml:space
="
preserve
">Nam hęc argumentandi forma perin-
<
lb
/>
de eſt, ac ſi dicerem, longitudo addita longitudini facit Maius;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1788
"
xml:space
="
preserve
">Multum additum multo facit plus; </
s
>
<
s
xml:id
="
echoid-s1789
"
xml:space
="
preserve
">Craſſum additum craſſo facit
<
lb
/>
craſſius; </
s
>
<
s
xml:id
="
echoid-s1790
"
xml:space
="
preserve
">igitur Paruum additum paruo facit breuius, Modicum
<
lb
/>
additum modico facit minus, Tenue additum tenui facit ſubti-
<
lb
/>
lius: </
s
>
<
s
xml:id
="
echoid-s1791
"
xml:space
="
preserve
">Cum autem huiuſcemodi conſecutiones manifeſtâ falſitate
<
lb
/>
laborent, quia quæ per exuperantiam & </
s
>
<
s
xml:id
="
echoid-s1792
"
xml:space
="
preserve
">defectum opponuntur,
<
lb
/>
contrario modo ſe habent, & </
s
>
<
s
xml:id
="
echoid-s1793
"
xml:space
="
preserve
">ad augendam denominationem
<
lb
/>
exuperantibus additio, deficientibus detractio conuenit; </
s
>
<
s
xml:id
="
echoid-s1794
"
xml:space
="
preserve
">ideò ad
<
lb
/>
conſtituendam leuitatem maiorem non eſt addendum leue leui in
<
lb
/>
eodem ſpatio, ſed demendum leue ex leui. </
s
>
<
s
xml:id
="
echoid-s1795
"
xml:space
="
preserve
">Quamquam eo ipſo
<
lb
/>
quod in eodem ſpatio corporis cœteroqui leuis (aut ſaltem non
<
lb
/>
grauis, quia in loco ſuo) conſtipatur alia pars corporis ſimplici-
<
lb
/>
ter & </
s
>
<
s
xml:id
="
echoid-s1796
"
xml:space
="
preserve
">ſolitariè leuis extra illud ſpatium, iam non ſunt duo leuia,
<
lb
/>
ſed factum eſt vnum graue: </
s
>
<
s
xml:id
="
echoid-s1797
"
xml:space
="
preserve
">neque enim hìc res ſe habet, quemad-
<
lb
/>
modum ſi ex naui exportentur ſarcinę, quarum in locum ſuccedit
<
lb
/>
aër, & </
s
>
<
s
xml:id
="
echoid-s1798
"
xml:space
="
preserve
">aëre addito aëri nauis fit leuior.</
s
>
<
s
xml:id
="
echoid-s1799
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1800
"
xml:space
="
preserve
">Similiter prætereo Hydroſtaticum fundamentum ex Archimede
<
lb
/>
petitum, vbiliquoris partes premere, & </
s
>
<
s
xml:id
="
echoid-s1801
"
xml:space
="
preserve
">vrgere ſe inuicem, po-
<
lb
/>
nuntur: </
s
>
<
s
xml:id
="
echoid-s1802
"
xml:space
="
preserve
">Hæc enim mera Hypotheſis eſt, quam aſſumere non exa-
<
lb
/>
minatis Phyſicis rationibus Geometræ licuit: </
s
>
<
s
xml:id
="
echoid-s1803
"
xml:space
="
preserve
">Cœterùm, preſſione
<
lb
/>
omni valere iuſſâ, quæ merguntur, pro diſſimilitudine conſtipa-
<
lb
/>
tionis materiæ grauitant; </
s
>
<
s
xml:id
="
echoid-s1804
"
xml:space
="
preserve
">quæ innatant, parem habent depreſ-
<
lb
/>
ſæ partis leuitatem cum grauitate emerſæ. </
s
>
<
s
xml:id
="
echoid-s1805
"
xml:space
="
preserve
">Si enim aër aquam pre-
<
lb
/>
mit, & </
s
>
<
s
xml:id
="
echoid-s1806
"
xml:space
="
preserve
">aqua aquam, ſit in vaſe ſuperficies aquæ FG, cui innatat
<
lb
/>
cylindrus ligneus *da*, & </
s
>
<
s
xml:id
="
echoid-s1807
"
xml:space
="
preserve
">extra aquam eſt pars *cd*. </
s
>
<
s
xml:id
="
echoid-s1808
"
xml:space
="
preserve
">Superficiei aquę
<
lb
/>
FG intelligatur parallela ſuperficies HI, in qua eſt
<
lb
/>
<
figure
xlink:label
="
fig-0066-01
"
xlink:href
="
fig-0066-01a
"
number
="
4
">
<
image
file
="
0066-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0066-01
"/>
</
figure
>
baſis lignei cylindri *ab*. </
s
>
<
s
xml:id
="
echoid-s1809
"
xml:space
="
preserve
">Iam ſic. </
s
>
<
s
xml:id
="
echoid-s1810
"
xml:space
="
preserve
">Si partes ſuper-
<
lb
/>
ficiei HI non premerentur æqualiter ab impoſitis
<
lb
/>
partibus, pars minùs preſſa vrgeretur ſurſum: </
s
>
<
s
xml:id
="
echoid-s1811
"
xml:space
="
preserve
">igi-
<
lb
/>
tur tam premit cylindrus ligneus *da* vnã cum in-
<
lb
/>
cumbente illi cylindro aërio, quàm premant aquei
<
lb
/>
cylindriæqualis baſis ſimul cum impoſitis cylindris
<
lb
/>
aërijs: </
s
>
<
s
xml:id
="
echoid-s1812
"
xml:space
="
preserve
">at reliqui cylindri aërij longiores ſunt illo, qui incumbit-
<
lb
/>
cylindro ligneo, aquei verò cylindri æqualis baſis non ſunt </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>