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
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
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 389
>
11
12
13
14
15
(III)
16
(IV)
17
(V)
18
(VI)
19
(VII)
20
(VIII)
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
261 - 270
271 - 280
281 - 290
291 - 300
301 - 310
311 - 320
321 - 330
331 - 340
341 - 350
351 - 360
361 - 370
371 - 380
381 - 389
>
page
|<
<
(XIV)
of 389
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
type
="
section
"
level
="
0
"
n
="
0
">
<
p
style
="
it
">
<
s
xml:space
="
preserve
">
<
pb
o
="
XIV
"
file
="
0026
"
n
="
26
"/>
omnia materiæ puncta vim quandam mutuam, quæ a diſtantiis pendet,
<
lb
/>
& </
s
>
<
s
xml:space
="
preserve
">mutatis diſtantiis mutatur ita, ut in aliis attractiva ſit, in aliis re-
<
lb
/>
pulſiva, ſed certa quadam, & </
s
>
<
s
xml:space
="
preserve
">continua lege. </
s
>
<
s
xml:space
="
preserve
">Leges ejuſmodi variationis
<
lb
/>
binarum quantitatum a ſe invicem pendentium, uti hic ſunt diſtantia,
<
lb
/>
& </
s
>
<
s
xml:space
="
preserve
">vis, exprimi poſſunt vel per analyticam formulam, vel per geometri-
<
lb
/>
cam curvam; </
s
>
<
s
xml:space
="
preserve
">ſed illa prior expreſſio & </
s
>
<
s
xml:space
="
preserve
">multo plures cognitiones requirit
<
lb
/>
ad Algebram pertinentes, & </
s
>
<
s
xml:space
="
preserve
">imaginationem non ita adjuvat, ut hæc po-
<
lb
/>
ſterior, qua idcirco ſum uſus in ipſa prima operis parte, rejecta in Sup-
<
lb
/>
plementa formula analytica, quæ & </
s
>
<
s
xml:space
="
preserve
">curvam, & </
s
>
<
s
xml:space
="
preserve
">legem virium ab illa
<
lb
/>
expreſſam exhibeat.</
s
>
<
s
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:space
="
preserve
">Porro huc res omnis reducitur. </
s
>
<
s
xml:space
="
preserve
">Habetur in recta indefinita, quæ axis
<
lb
/>
dicitur, punctum quoddam, a quo abſciſſa ipſius rectæ ſegmenta referunt
<
lb
/>
diſtantias. </
s
>
<
s
xml:space
="
preserve
">Curva linea protenditur ſecundum rectam ipſam, circa quam
<
lb
/>
etiam ſerpit, & </
s
>
<
s
xml:space
="
preserve
">eandem in pluribus ſecat punctis: </
s
>
<
s
xml:space
="
preserve
">rectæ a fine ſegmen-
<
lb
/>
torum erectæ perpendiculariter uſque ad curvam, exprimunt vires, quæ
<
lb
/>
majores ſunt, vel minores, prout ejuſmodi rectæ ſunt itidem majores,
<
lb
/>
vel minores; </
s
>
<
s
xml:space
="
preserve
">ac eædem ex attractivis migrant in repulſivas, vel vice ver-
<
lb
/>
ſa, ubi illæ ipſæ perpendiculares rectæ directionem mutant, curva ab al-
<
lb
/>
tera axis indefiniti plaga migrante ad alteram. </
s
>
<
s
xml:space
="
preserve
">Id quidem nullas requi-
<
lb
/>
rit geometricas demonſtrationes, ſed meram cognitionem vocum quarun-
<
lb
/>
dam, quæ vel ad prima pertinent Geometriæ elementa, & </
s
>
<
s
xml:space
="
preserve
">notiſſimæ ſunt,
<
lb
/>
vel ibi explicantur, ubi adhibentur. </
s
>
<
s
xml:space
="
preserve
">Notiſſima autem etiam eſt ſignifica-
<
lb
/>
tio vocis Aſymptotus, unde & </
s
>
<
s
xml:space
="
preserve
">crus aſymptoticum curvæ appellatur: </
s
>
<
s
xml:space
="
preserve
">di-
<
lb
/>
citur nimirum recta aſymptotus cruris cujuſpiam curvæ, cum ipſa recta
<
lb
/>
in infinitum producta, ita ad curvilineum arcum productum itidem in
<
lb
/>
infinitum ſemper accedit magis, ut diſtantia minuatur in infinitum, ſed
<
lb
/>
nuſquam penitus evaneſcat, illis idcirco nunquam invicem convenientibus.</
s
>
<
s
xml:space
="
preserve
"/>
</
p
>
<
p
style
="
it
">
<
s
xml:space
="
preserve
">Conſideratio porro attenta curvæ propoſitæ in fig. </
s
>
<
s
xml:space
="
preserve
">I, & </
s
>
<
s
xml:space
="
preserve
">rationis, qua
<
lb
/>
per illam exprimitur nexus inter vires, & </
s
>
<
s
xml:space
="
preserve
">diſtantias, eſt utique admo-
<
lb
/>
dum neceſſaria ad intelligendam Theoriam ipſam, cujus ea eſt præcipua
<
lb
/>
quædam veluti clavis, ſine qua omnino incaſſum tentarentur cetera: </
s
>
<
s
xml:space
="
preserve
">ſed
<
lb
/>
& </
s
>
<
s
xml:space
="
preserve
">ejuſmodi eſt, ut tironum, & </
s
>
<
s
xml:space
="
preserve
">ſane etiam mediocrium, immo etiam lon-
<
lb
/>
ge infra mediocritatem collocatorum, captum non excedat, potiſſimum ſi
<
lb
/>
viva accedat Profeſſoris vox mediocriter etiam verſati in Mechanica, cu-
<
lb
/>
jus ope, pro certo habeo, rem ita patentem omnibus reddi poſſe, ut ii
<
lb
/>
etiam, qui Geometriæ penitus ignari ſunt, paucorum admodum </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>