Bošković, Ruđer Josip
,
Theoria philosophiae naturalis redacta ad unicam legem virium in natura existentium
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Table of handwritten notes
<
1 - 4
[out of range]
>
<
1 - 4
[out of range]
>
page
|<
<
(27)
of 389
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
type
="
section
"
level
="
0
"
n
="
0
">
<
pb
o
="
27
"
file
="
0079
"
n
="
79
"
rhead
="
PARS PRIMA.
"/>
<
note
position
="
right
"
xml:space
="
preserve
">Ordinatam nul-
<
lb
/>
lam, ut & di-
<
lb
/>
ſtantiam nul-
<
lb
/>
lam exiſten-
<
lb
/>
tium eſſe com-
<
lb
/>
penetrationem.</
note
>
<
p
>
<
s
xml:space
="
preserve
">59. </
s
>
<
s
xml:space
="
preserve
">Sit in Fig. </
s
>
<
s
xml:space
="
preserve
">9. </
s
>
<
s
xml:space
="
preserve
">Linea AB, ut prius, ad quam linea
<
lb
/>
quædam PL deveniat in G (pertinet punctum G ad lineam
<
lb
/>
PL, E ad AB continuatas, & </
s
>
<
s
xml:space
="
preserve
">ſibi occurrentes ibidem), & </
s
>
<
s
xml:space
="
preserve
">
<
lb
/>
ſive pergat ultra ipſam in GM', ſive retro reſiliat per GM'.
<
lb
/>
</
s
>
<
s
xml:space
="
preserve
">Recta C D habebit ordinatam C L, quæ evaneſcet, ubi pun-
<
lb
/>
cto C abeunte in E, ipſa C D abibit in EF, tum in poſi-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0079-02
"
xlink:href
="
note-0079-02a
"
xml:space
="
preserve
">Fig. 9.</
note
>
tione ulteriori rectæ perpendicularis HI, vel abibit in ne-
<
lb
/>
gativam HM, vel retro poſitiva regredietur in HM'. </
s
>
<
s
xml:space
="
preserve
">Ubi li-
<
lb
/>
nea altera cum altera coit, & </
s
>
<
s
xml:space
="
preserve
">punctum E alterius cum alte-
<
lb
/>
rius puncto G congreditur, ordinata CL videtur abire in ni-
<
lb
/>
hilum ita, ut nihilum, quemadmodum & </
s
>
<
s
xml:space
="
preserve
">ſupra innuimus,
<
lb
/>
ſit limes quidam inter ſeriem ordinatarum poſitivarum CL,
<
lb
/>
& </
s
>
<
s
xml:space
="
preserve
">negativarum HM; </
s
>
<
s
xml:space
="
preserve
">vel poſitivarum CL, & </
s
>
<
s
xml:space
="
preserve
">iterum poſi-
<
lb
/>
tivarum HM'. </
s
>
<
s
xml:space
="
preserve
">Sed, ſi res altius conſideretur ad metaphy-
<
lb
/>
ſicum conceptum reducta, in ſitu EF non habetur verum ni-
<
lb
/>
hilum. </
s
>
<
s
xml:space
="
preserve
">In ſitu C D, HI habetur diſtantia quædam puncto-
<
lb
/>
rum C, L; </
s
>
<
s
xml:space
="
preserve
">H, M: </
s
>
<
s
xml:space
="
preserve
">in ſitu EF habetur eorundem punctorum
<
lb
/>
compenetratio. </
s
>
<
s
xml:space
="
preserve
">Diſtantia eſt relatio quædam binorum mo-
<
lb
/>
dorum, quibus bina puncta exiſtunt; </
s
>
<
s
xml:space
="
preserve
">compenetratio itidem eſt
<
lb
/>
relatio binorum modorum, quibus ea exiſtunt, quæ compene-
<
lb
/>
tratio eſt aliquid reale ejuſdem prorſus generis, cujus eſt di-
<
lb
/>
ſtantia, conſtituta nimirum per binos reales exiſtendi modos.</
s
>
<
s
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
right
"
xml:space
="
preserve
">Ad idem perti-
<
lb
/>
nere ſeriei rea-
<
lb
/>
lis genus eam
<
lb
/>
diſtantiam nul-
<
lb
/>
lam, & ali-
<
lb
/>
quam.</
note
>
<
p
>
<
s
xml:space
="
preserve
">60. </
s
>
<
s
xml:space
="
preserve
">Totum diſcrimen eſt in vocabulis, quæ nos impoſui-
<
lb
/>
mus. </
s
>
<
s
xml:space
="
preserve
">Bini locales exiſtendi modi infinitas numero relationes
<
lb
/>
poſſunt conſtituere, alii alias. </
s
>
<
s
xml:space
="
preserve
">Hæ omnes inter ſe & </
s
>
<
s
xml:space
="
preserve
">diffe-
<
lb
/>
runt, & </
s
>
<
s
xml:space
="
preserve
">tamen ſimul etiam plurimum conveniunt; </
s
>
<
s
xml:space
="
preserve
">nam reales
<
lb
/>
ſunt, & </
s
>
<
s
xml:space
="
preserve
">in quodam genere congruunt, quod nimirum ſint re-
<
lb
/>
lationes ortæ a binis localibus exiſtendi modis. </
s
>
<
s
xml:space
="
preserve
">Diverſa vero
<
lb
/>
habent nomina ad arbitrium inſtituta, cum aliæ ex ejuſmodi
<
lb
/>
relationibus, ut C L, dicantur diſtantiæ poſitivæ, relatio EG
<
lb
/>
dicatur compenetratio, relationes H M dicantur diſtantiæ ne-
<
lb
/>
gativæ. </
s
>
<
s
xml:space
="
preserve
">Sed quoniam, ut a decem palmis diſtantiæ demptis
<
lb
/>
5, relinquuntur 5, ita demptis aliis 5, habetur nihil (non
<
lb
/>
quidem verum nihil, ſed nihil in ratione diſtantiæ a nobis ita
<
lb
/>
appellatæ, cum remaneat compenetratio); </
s
>
<
s
xml:space
="
preserve
">ablatis autem aliis
<
lb
/>
quinque, remanent quinque palmi diſtantiæ negativæ; </
s
>
<
s
xml:space
="
preserve
">iſta o-
<
lb
/>
mnia realia ſunt, & </
s
>
<
s
xml:space
="
preserve
">ad idem genus pertinent; </
s
>
<
s
xml:space
="
preserve
">cum eodem
<
lb
/>
prorſus modo inter ſe differant diſtantia palmorum 10 a diſtan-
<
lb
/>
tia palmorum 5, hæc a diſtantia nulla, ſed reali, quæ com-
<
lb
/>
penetrationem importat, & </
s
>
<
s
xml:space
="
preserve
">hæc a diſtantia negativa palmorum
<
lb
/>
5. </
s
>
<
s
xml:space
="
preserve
">Nam ex prima illa quantitate eodem modo devenitur ad
<
lb
/>
haſce poſteriores per continuam ablationem palmorum 5. </
s
>
<
s
xml:space
="
preserve
">Eo-
<
lb
/>
dem autem pacto infinitas ellipſes, ab infinitis hyperbolis uni-
<
lb
/>
ca interjecta parabola diſcriminat, quæ quidem unica nomen
<
lb
/>
peculiare ſortita eſt, cum illas numero infinitas, & </
s
>
<
s
xml:space
="
preserve
">a ſe invi-
<
lb
/>
cem admodum diſcrepantes unico vocabulo complectamur; </
s
>
<
s
xml:space
="
preserve
">li-
<
lb
/>
cet altera magis oblonga ab altera minus oblonga plurimum
<
lb
/>
itidem diverſa ſit.</
s
>
<
s
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>