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
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 434
>
Scan
Original
241
242
155
243
156
244
245
246
247
157
248
158
249
159
250
160
251
252
253
254
161
255
162
256
163
257
164
258
259
260
261
165
262
166
263
264
265
266
167
267
168
268
169
269
170
270
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 434
>
page
|<
<
(151)
of 434
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div297
"
type
="
section
"
level
="
1
"
n
="
108
">
<
p
>
<
s
xml:id
="
echoid-s3404
"
xml:space
="
preserve
">
<
pb
o
="
151
"
file
="
0215
"
n
="
235
"
rhead
="
HOROLOG. OSCILLATOR.
"/>
quæque ſuſpenſa ab axe, qui per punctum F ad planum hu-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0215-01
"
xlink:href
="
note-0215-01a
"
xml:space
="
preserve
">
<
emph
style
="
sc
">De centro</
emph
>
<
lb
/>
<
emph
style
="
sc
">OSCILLA-</
emph
>
<
lb
/>
<
emph
style
="
sc
">TIONIS</
emph
>
.</
note
>
jus paginæ erectus intelligitur, habeat centrum oſcillationis
<
lb
/>
G. </
s
>
<
s
xml:id
="
echoid-s3405
"
xml:space
="
preserve
">Porrò axi per F intelligatur axis alius, per centrum gra-
<
lb
/>
vitatis E transiens, parallelus. </
s
>
<
s
xml:id
="
echoid-s3406
"
xml:space
="
preserve
">Diviſaque magnitudine cogita-
<
lb
/>
tu in particulas minimas æquales, ſit quadratis diſtantiarum,
<
lb
/>
ab axe dicto per E, æquale planum I, multiplex nempe ſe-
<
lb
/>
cundum numerum dictarum particularum; </
s
>
<
s
xml:id
="
echoid-s3407
"
xml:space
="
preserve
">applicatoque pla-
<
lb
/>
no I ad diſtantiam F E, fiat recta quædam. </
s
>
<
s
xml:id
="
echoid-s3408
"
xml:space
="
preserve
">Dico eam æ-
<
lb
/>
qualem eſſe intervallo E G, quo centrum oſcillationis infe-
<
lb
/>
rius eſt centro gravitatis magnitudinis A B C D.</
s
>
<
s
xml:id
="
echoid-s3409
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3410
"
xml:space
="
preserve
">Ut enim univerſali demonſtratione quod propoſitum eſt
<
lb
/>
comprehendamus: </
s
>
<
s
xml:id
="
echoid-s3411
"
xml:space
="
preserve
">intelligatur plana figura, magnitudini
<
lb
/>
A B C D analoga, ad latus adpoſita, O Q P; </
s
>
<
s
xml:id
="
echoid-s3412
"
xml:space
="
preserve
">quæ nempe,
<
lb
/>
ſecta planis horizontalibus iisdem cum magnitudine A B C D,
<
lb
/>
habeat ſegmenta intercepta inter bina quæque plana, in ea-
<
lb
/>
dem inter ſe ratione cum ſegmentis dictæ magnitudinis, quæ
<
lb
/>
ipſis reſpondent; </
s
>
<
s
xml:id
="
echoid-s3413
"
xml:space
="
preserve
">ſintque ſegmenta ſingula figuræ O Q P,
<
lb
/>
diviſa in tot particulas æquales, quot continentur ſegmentis
<
lb
/>
ipſis reſpondentibus in figura A B C D. </
s
>
<
s
xml:id
="
echoid-s3414
"
xml:space
="
preserve
">Hæc autem intel-
<
lb
/>
ligi poſſunt fieri, qualiscunque fuerit magnitudo A B C D,
<
lb
/>
ſive linea, ſive ſuperficies, ſive ſolidum. </
s
>
<
s
xml:id
="
echoid-s3415
"
xml:space
="
preserve
">Semper vero cen-
<
lb
/>
trum gravitatis figuræ O Q P, quod ſit T, eadem altitu-
<
lb
/>
dine eſſe manifeſtum eſt cum centro gravitatis magnitudinis
<
lb
/>
A B C D; </
s
>
<
s
xml:id
="
echoid-s3416
"
xml:space
="
preserve
">ideoque, ſi planum horizontale, per F ductum,
<
lb
/>
ſecet lineam centri figuræ O Q P, velut hic in S, æquales
<
lb
/>
eſſe diſtantias S T, F E.</
s
>
<
s
xml:id
="
echoid-s3417
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3418
"
xml:space
="
preserve
">Porrò autem conſtat quadrata diſtantiarum, ab axe oſcil-
<
lb
/>
lationis F, applicata ad diſtantiam F E, multiplicem ſecun-
<
lb
/>
dum numerum particularum, efficere longitudinem penduli
<
lb
/>
iſochroni ; </
s
>
<
s
xml:id
="
echoid-s3419
"
xml:space
="
preserve
">quæ longitudo poſita fuit F G. </
s
>
<
s
xml:id
="
echoid-s3420
"
xml:space
="
preserve
">Illorum
<
note
symbol
="
*
"
position
="
right
"
xlink:label
="
note-0215-02
"
xlink:href
="
note-0215-02a
"
xml:space
="
preserve
">Prop. 6.
<
lb
/>
huj.</
note
>
quadratorum ſummam, æqualem eſſe perſpicuum eſt, qua-
<
lb
/>
dratis diſtantiarum à plano horizontali per F, unà cum qua-
<
lb
/>
dratis diſtantiarum à plano verticali F E, per axem F & </
s
>
<
s
xml:id
="
echoid-s3421
"
xml:space
="
preserve
">cen-
<
lb
/>
trum gravitatis E ducto . </
s
>
<
s
xml:id
="
echoid-s3422
"
xml:space
="
preserve
">Atqui quadrata diſtantiarum
<
note
symbol
="
*
"
position
="
right
"
xlink:label
="
note-0215-03
"
xlink:href
="
note-0215-03a
"
xml:space
="
preserve
">Prop. 47.
<
lb
/>
lib. 1. Eucl.</
note
>
gnitudinis A B C D à plano horizontali per F, æquantur
<
lb
/>
quadratis diſtantiarum figuræ O Q P ab recta S F. </
s
>
<
s
xml:id
="
echoid-s3423
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>