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 Notes
<
1 - 4
[out of range]
>
[Note]
Page: 73
[Note]
Page: 73
[Note]
Page: 74
[Note]
Page: 74
[Note]
Page: 75
[Note]
Page: 75
[Note]
Page: 75
[Note]
Page: 76
[Note]
Page: 77
[Note]
Page: 77
[Note]
Page: 77
[Note]
Page: 77
[Note]
Page: 78
[Note]
Page: 78
[Note]
Page: 78
[Note]
Page: 79
[Note]
Page: 79
[Note]
Page: 79
[Note]
Page: 80
[Note]
Page: 80
[Note]
Page: 80
[Note]
Page: 80
[Note]
Page: 81
[Note]
Page: 82
[Note]
Page: 83
[Note]
Page: 83
[Note]
Page: 84
[Note]
Page: 84
[Note]
Page: 84
[Note]
Page: 84
<
1 - 4
[out of range]
>
page
|<
<
(23)
of 389
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
type
="
section
"
level
="
0
"
n
="
0
">
<
p
>
<
s
xml:space
="
preserve
">
<
pb
o
="
23
"
file
="
0075
"
n
="
75
"
rhead
="
PARS PRIMA.
"/>
binæ magnitudines ſimul haberi non poſſunt, id ipſum multo
<
lb
/>
evidentius conficitur, nempe nullum haberi poſſe ſaltum im-
<
lb
/>
mediatum ab una ad alteram. </
s
>
<
s
xml:space
="
preserve
">Nam illo momento temporis,
<
lb
/>
quo deberet ſal
<
gap
/>
us fieri, & </
s
>
<
s
xml:space
="
preserve
">abrumpi ſeries acceſſu aliquo mo-
<
lb
/>
mentaneo, deberent haberi duæ magnitudines, poſtrema ſeriei
<
lb
/>
præcedentis, & </
s
>
<
s
xml:space
="
preserve
">prima ſeriei ſequentis. </
s
>
<
s
xml:space
="
preserve
">Id ipſum vero adhuc
<
lb
/>
multo evidentius habetur in illis rerum ſtatibus, in quibus ex
<
lb
/>
una parte quovis momento haberi debet aliquis ſtatus ita, ut
<
lb
/>
nunquam ſine aliquo ejus generis ſtatu res eſſe poſſit; </
s
>
<
s
xml:space
="
preserve
">& </
s
>
<
s
xml:space
="
preserve
">ex alia
<
lb
/>
duos ſimul ejuſmodi ſtatus habere non poteſt.</
s
>
<
s
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:space
="
preserve
">50. </
s
>
<
s
xml:space
="
preserve
">Id quidem ſatis patebit in ipſo locali motu, in quo ha-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0075-01
"
xlink:href
="
note-0075-01a
"
xml:space
="
preserve
">Inde cur motus
<
lb
/>
localis non fiat,
<
lb
/>
niſi per lineam
<
lb
/>
continuam.</
note
>
betur phænomenum omnibus ſane notiſſimum, ſed cujus ratio
<
lb
/>
non ita facile aliunde redditur, inde autem patentiſſima eſt.
<
lb
/>
</
s
>
<
s
xml:space
="
preserve
">Corpus a quovis loco ad alium quemvis devenire utique poteſt
<
lb
/>
motu continuo per lineas quaſcunque utcunque contortas, & </
s
>
<
s
xml:space
="
preserve
">
<
lb
/>
in immenſum productas quaquaverſum, quæ numero infinities
<
lb
/>
infinitæ ſunt: </
s
>
<
s
xml:space
="
preserve
">ſed omnino debet per continuam aliquam abire,
<
lb
/>
& </
s
>
<
s
xml:space
="
preserve
">nullibi interruptam. </
s
>
<
s
xml:space
="
preserve
">En inde rationem ejus rei admodum
<
lb
/>
manifeſtam. </
s
>
<
s
xml:space
="
preserve
">Si alicubi linea motus abrumperetur; </
s
>
<
s
xml:space
="
preserve
">vel momen-
<
lb
/>
tum temporis, quo eſſet in primo puncto poſterioris lineæ, eſ-
<
lb
/>
ſet poſterius eo momento, quo eſſet in puncto poſtremo ante-
<
lb
/>
rioris, vel eſſet idem, vel anterius? </
s
>
<
s
xml:space
="
preserve
">In primo, & </
s
>
<
s
xml:space
="
preserve
">tertio caſu
<
lb
/>
inter ea momenta intercederet tempus aliquod continuum di-
<
lb
/>
viſibile in infinitum per alia momenta intermedia, cum bina
<
lb
/>
momenta temporis, in eo ſenſu accepta, in quo ego hic ea acci-
<
lb
/>
pio, contigua eſſe non poſſint, uti ſuperius expoſui. </
s
>
<
s
xml:space
="
preserve
">Quamob-
<
lb
/>
rem in primo caſu in omnibus iis infinitis intermediis mo-
<
lb
/>
mentis nullibi eſſet id corpus, in ſecundo caſu idem eſſet eo-
<
lb
/>
dem illo momento in binis locis, adeoque replicaretur; </
s
>
<
s
xml:space
="
preserve
">in tertio
<
lb
/>
haberetur replicatio non tantum reſpectu eorum binorum mo-
<
lb
/>
mentorum, ſed omnium etiam intermediorum, in quibus ni-
<
lb
/>
mirum omnibus id corpus eſſet in binis locis. </
s
>
<
s
xml:space
="
preserve
">Cum igitur corpus
<
lb
/>
exiſtens nec nullibi eſſe poſſit, nec ſimul in locis pluribus; </
s
>
<
s
xml:space
="
preserve
">illa
<
lb
/>
viæ mutatio, & </
s
>
<
s
xml:space
="
preserve
">ille ſaltus haberi omnino non poſſunt.</
s
>
<
s
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:space
="
preserve
">51. </
s
>
<
s
xml:space
="
preserve
">Idem ope Geometriæ magis adhuc oculis ipſis ſubjicitur.
<
lb
/>
</
s
>
<
s
xml:space
="
preserve
">
<
note
position
="
right
"
xlink:label
="
note-0075-02
"
xlink:href
="
note-0075-02a
"
xml:space
="
preserve
">Illuſtratio e-
<
lb
/>
jus argumenti
<
lb
/>
ex Geometria;
<
lb
/>
ratiocinatione
<
lb
/>
metaphyſica,
<
lb
/>
pluribus exem-
<
lb
/>
plis.</
note
>
Exponantur per rectam AB tempora, ac per ordinatas ad li-
<
lb
/>
neas CD, EF, abruptas alicubi, diverſi ſtatus rei cujuſpiam.
<
lb
/>
</
s
>
<
s
xml:space
="
preserve
">Ductis ordinatis DG, EH, vel punctum H jaceret poſt G,
<
lb
/>
ut in Fig. </
s
>
<
s
xml:space
="
preserve
">5; </
s
>
<
s
xml:space
="
preserve
">vel cum ipſo congrueret, ut in 6; </
s
>
<
s
xml:space
="
preserve
">vel ipſum
<
lb
/>
præcederet, ut in 7. </
s
>
<
s
xml:space
="
preserve
">In primo caſu nulla reſponderet ordi-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0075-03
"
xlink:href
="
note-0075-03a
"
xml:space
="
preserve
">Fig. 5.
<
lb
/>
6.
<
lb
/>
7.</
note
>
nata omnibus punctis rectæ GH; </
s
>
<
s
xml:space
="
preserve
">in ſecundo binæ reſponde-
<
lb
/>
rent GD, & </
s
>
<
s
xml:space
="
preserve
">HE eidem puncto G; </
s
>
<
s
xml:space
="
preserve
">in tertio vero binæ HI,
<
lb
/>
HE puncto H, binæ GD, GK puncto G, & </
s
>
<
s
xml:space
="
preserve
">binæ LM,
<
lb
/>
LN puncto cuivis intermedio L; </
s
>
<
s
xml:space
="
preserve
">nam ordinata eſt relatio
<
lb
/>
quædam diſtantiæ, quam habet punctum curvæ cum puncto
<
lb
/>
axis ſibi reſpondente, adeoque ubi jacent in recta eadem per-
<
lb
/>
pendiculari axi bina curvarum puncta, habentur binæ ordina-
<
lb
/>
tæ reſpondentes eidem puncto axis. </
s
>
<
s
xml:space
="
preserve
">Quamobrem ſi nec </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>