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
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 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 434
>
91
(55)
92
(56)
93
(57)
94
(58)
95
(59)
96
(60)
97
(61)
98
(62)
99
(63)
100
(64)
<
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 - 390
391 - 400
401 - 410
411 - 420
421 - 430
431 - 434
>
page
|<
<
(61)
of 434
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div65
"
type
="
section
"
level
="
1
"
n
="
28
">
<
p
>
<
s
xml:id
="
echoid-s1297
"
xml:space
="
preserve
">
<
pb
o
="
61
"
file
="
0093
"
n
="
97
"
rhead
="
HOROLOG. OSCILLATOR.
"/>
in fine totius temporis acquiſita H L; </
s
>
<
s
xml:id
="
echoid-s1298
"
xml:space
="
preserve
">erit ea, quæ in fine
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0093-01
"
xlink:href
="
note-0093-01a
"
xml:space
="
preserve
">
<
emph
style
="
sc
">De de-</
emph
>
<
lb
/>
<
emph
style
="
sc
">SCEN U</
emph
>
<
lb
/>
<
emph
style
="
sc
">GRAVIUM</
emph
>
.</
note
>
primæ partis temporis A C acquiretur, C K; </
s
>
<
s
xml:id
="
echoid-s1299
"
xml:space
="
preserve
">quia ut A H
<
lb
/>
ad A C, ita H L ad C K. </
s
>
<
s
xml:id
="
echoid-s1300
"
xml:space
="
preserve
">Similiter quæ in fine partis tem-
<
lb
/>
poris ſecundæ C E acquiritur, erit E O, atque ita dein-
<
lb
/>
ceps. </
s
>
<
s
xml:id
="
echoid-s1301
"
xml:space
="
preserve
">Patet autem, tempore primo A C, ſpatium aliquod à
<
lb
/>
mobili transmiſſum eſſe, quod majus ſit nihilo; </
s
>
<
s
xml:id
="
echoid-s1302
"
xml:space
="
preserve
">tempore ve-
<
lb
/>
ro ſecundo C E transmiſſum eſſe ſpatium quod majus ſit
<
lb
/>
quam K E, quia ſpatium K E transmiſſum fuiſſet tempore
<
lb
/>
C E, motu æquabili, cum celeritate C K. </
s
>
<
s
xml:id
="
echoid-s1303
"
xml:space
="
preserve
">habent enim ſpa-
<
lb
/>
tia, motu æquabili transacta, rationem compoſitam ex ra-
<
lb
/>
tione temporum, & </
s
>
<
s
xml:id
="
echoid-s1304
"
xml:space
="
preserve
">ratione velocitatum, ideoque cum tem-
<
lb
/>
pore A H, celeritate æquabili H L percurri poſuerimus ſpa-
<
lb
/>
tium M H, ſequitur tempore C E, cum celeritate C K,
<
lb
/>
percurri ſpatium K E, quum ratio rectanguli M H ad re-
<
lb
/>
ctangulum K E componatur ex rationibus A H ad C E, & </
s
>
<
s
xml:id
="
echoid-s1305
"
xml:space
="
preserve
">
<
lb
/>
H L ad C K.</
s
>
<
s
xml:id
="
echoid-s1306
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1307
"
xml:space
="
preserve
">Quum ergo, ut dixi, ſpatium K E ſit illud quod trans-
<
lb
/>
mitteretur tempore C E, cum celeritate æquabili C K, mo-
<
lb
/>
bile autem feratur tempore C E motu accelerato, qui jam
<
lb
/>
principio hujus temporis habet celeritatem C K; </
s
>
<
s
xml:id
="
echoid-s1308
"
xml:space
="
preserve
">manifeſtum
<
lb
/>
eſt iſto accelerato motu, tempore C E, majus ſpatium quam
<
lb
/>
K E confecturum. </
s
>
<
s
xml:id
="
echoid-s1309
"
xml:space
="
preserve
">Eadem ratione, tempore tertio E G, ma-
<
lb
/>
jus ſpatium conficiet quam O G, quia nempe hoc confectu-
<
lb
/>
rum eſſet tempore eodem E G, cum celeritate æquabili E O.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1310
"
xml:space
="
preserve
">Atque ita deinceps, ſingulis temporis A H partibus, à mo-
<
lb
/>
bili majora ſpatia quam ſunt rectangula figuræ inſcriptæ,
<
lb
/>
ipſis partibus adjacentia, peragentur. </
s
>
<
s
xml:id
="
echoid-s1311
"
xml:space
="
preserve
">Quare totum ſpatium
<
lb
/>
motu accelerato peractum majus erit ipſa figura inſcripta. </
s
>
<
s
xml:id
="
echoid-s1312
"
xml:space
="
preserve
">
<
lb
/>
Spatium vero illud æquale poſitum fuit plano P. </
s
>
<
s
xml:id
="
echoid-s1313
"
xml:space
="
preserve
">Itaque fi-
<
lb
/>
gura inſcripta minor erit ſpatio P. </
s
>
<
s
xml:id
="
echoid-s1314
"
xml:space
="
preserve
">quod eſt abſurdum; </
s
>
<
s
xml:id
="
echoid-s1315
"
xml:space
="
preserve
">eo-
<
lb
/>
dem enim ſpatio major oſtenſa fuit. </
s
>
<
s
xml:id
="
echoid-s1316
"
xml:space
="
preserve
">Non eſt igitur planum
<
lb
/>
P minus triangulo A H L. </
s
>
<
s
xml:id
="
echoid-s1317
"
xml:space
="
preserve
">At neque majus eſſe oſtendetur.</
s
>
<
s
xml:id
="
echoid-s1318
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1319
"
xml:space
="
preserve
">Sit enim, ſi poteſt; </
s
>
<
s
xml:id
="
echoid-s1320
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1321
"
xml:space
="
preserve
">dividatur A H in partes æquales,
<
lb
/>
atque ad earum altitudinem, inſcripta circumſcriptaque rur-
<
lb
/>
ſus, ut ante, ſit triangulo A H L figura ex rectangulis, ita
<
lb
/>
ut altera alteram excedat minori exceſſu quam quo </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>