Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Table of handwritten notes
<
1 - 5
[out of range]
>
<
1 - 5
[out of range]
>
page
|<
<
(240)
of 434
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div437
"
type
="
section
"
level
="
1
"
n
="
179
">
<
p
>
<
s
xml:id
="
echoid-s5253
"
xml:space
="
preserve
">
<
pb
o
="
240
"
file
="
0318
"
n
="
345
"
rhead
="
DE CENTRO OSCILL.
"/>
dentiæ ergo, pondera penduli A & </
s
>
<
s
xml:id
="
echoid-s5254
"
xml:space
="
preserve
">B in linea inflexili D B
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0318-01
"
xlink:href
="
note-0318-01a
"
xml:space
="
preserve
">TAB. XXVIII.
<
lb
/>
Fig. 5.</
note
>
libere hinc inde moveri poſſe, ſic ut linea hæc, dum rotatur
<
lb
/>
circa axem D, quamvis ſecum rapiat pondera, non tamen
<
lb
/>
impediat deſcenſum illorum in linea recta centrum Terræ
<
lb
/>
verſus. </
s
>
<
s
xml:id
="
echoid-s5255
"
xml:space
="
preserve
">Quo poſito, conſtat, utrumlibet pondus ſigillatim
<
lb
/>
dimiſſum, eadem celeritate latum iri, qua ferretur absque
<
lb
/>
virga D B, utpote nec a virga, nec ab ejus axe ullo modo
<
lb
/>
impeditum; </
s
>
<
s
xml:id
="
echoid-s5256
"
xml:space
="
preserve
">id eſt ſi pondus A absque virga certo tempore
<
lb
/>
conficit ſpatium A H, & </
s
>
<
s
xml:id
="
echoid-s5257
"
xml:space
="
preserve
">pondus B ſpatium æquale B N,
<
lb
/>
utrumque etiam cum virga, ſed ſigillatim, dimiſſum eodem
<
lb
/>
tempore idem ſpatium A H & </
s
>
<
s
xml:id
="
echoid-s5258
"
xml:space
="
preserve
">B N conficiet. </
s
>
<
s
xml:id
="
echoid-s5259
"
xml:space
="
preserve
">Conſtat in-
<
lb
/>
ſuper, quod ſi gravitas in utrumque pondus ageret viri-
<
lb
/>
bus, quæ proportionatæ forent ipſorum reſpectivis ab axe
<
lb
/>
diſtantiis, virga nullum adhuc ipſorum deſcenſui afferret im-
<
lb
/>
pedimentum, propterea quoniam exacto certo tempore unum
<
lb
/>
eorum reperiretur in H & </
s
>
<
s
xml:id
="
echoid-s5260
"
xml:space
="
preserve
">alterum in I, vel prius in L, po-
<
lb
/>
ſterius in N, ſive absque virga, ſive cum virga, ſive ſigil-
<
lb
/>
latim ſive conjunctim dimitterentur. </
s
>
<
s
xml:id
="
echoid-s5261
"
xml:space
="
preserve
">Verum enim vero
<
lb
/>
quoniam gravitas in utrumque pondus agit viribus æquali-
<
lb
/>
bus, ſic ut pondera eodem tempore æqualia ſpatia A H & </
s
>
<
s
xml:id
="
echoid-s5262
"
xml:space
="
preserve
">
<
lb
/>
B N transigere annitantur, & </
s
>
<
s
xml:id
="
echoid-s5263
"
xml:space
="
preserve
">tamen interea pondus A jun-
<
lb
/>
ctim dimiſſum, ob inflexilem virgam, nequit pertingere niſi
<
lb
/>
ad L, dum pondus B jam eſt in N, hinc ſequitur, gravita-
<
lb
/>
tis vim in pondere A non eſſe exhauſtam; </
s
>
<
s
xml:id
="
echoid-s5264
"
xml:space
="
preserve
">adeoque reſiduum
<
lb
/>
harum virium, ex una parte urgere debere corpus B, ex al-
<
lb
/>
tera ipſum axem D, eundemque premendo aliquam ſui par-
<
lb
/>
tem ibidem inſumere & </
s
>
<
s
xml:id
="
echoid-s5265
"
xml:space
="
preserve
">deperdere; </
s
>
<
s
xml:id
="
echoid-s5266
"
xml:space
="
preserve
">ſiquidem virga hocce
<
lb
/>
caſu inſtar vectis conſiderari poſſit, prout extra dubium eſt;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s5267
"
xml:space
="
preserve
">quod ſi corpus B infinite tarde moveri, id eſt, firmum & </
s
>
<
s
xml:id
="
echoid-s5268
"
xml:space
="
preserve
">
<
lb
/>
ſtabile eſſe intelligatur ſicut axis D, corpus A partem ſui
<
lb
/>
ponderis æque in axem D atque in corpus B transferret. </
s
>
<
s
xml:id
="
echoid-s5269
"
xml:space
="
preserve
">
<
lb
/>
Ex hactenus dictis colligere proclive eſt, ſi quis examinare
<
lb
/>
vellet, quantam partem celeritatis ſuæ pondus A in premen-
<
lb
/>
do axe D conſumere debeat, eum exinde, imitando Dn. </
s
>
<
s
xml:id
="
echoid-s5270
"
xml:space
="
preserve
">Ca-
<
lb
/>
telani ratiocinium, veritatem aut falſitatem Hugenianæ Hy-
<
lb
/>
potheſeos, inque hac fundatæ Propoſitionis, detegere poſſe.</
s
>
<
s
xml:id
="
echoid-s5271
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>