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
>
121
(76)
122
123
124
125
(77)
126
(78)
127
(79)
128
(80)
129
(81)
130
(82)
<
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
|<
<
(64)
of 434
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div72
"
type
="
section
"
level
="
1
"
n
="
30
">
<
pb
o
="
64
"
file
="
0096
"
n
="
100
"
rhead
="
CHRISTIANI HUGENII
"/>
<
p
>
<
s
xml:id
="
echoid-s1354
"
xml:space
="
preserve
">Sint plana inclinata A C, A D quorum eadem elevatio
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0096-01
"
xlink:href
="
note-0096-01a
"
xml:space
="
preserve
">
<
emph
style
="
sc
">De de-</
emph
>
<
lb
/>
<
emph
style
="
sc
">SCENSU</
emph
>
<
lb
/>
<
emph
style
="
sc
">GRAVIUM</
emph
>
.</
note
>
A B. </
s
>
<
s
xml:id
="
echoid-s1355
"
xml:space
="
preserve
">dico tempus deſcenſus per planum A C ad tempus
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0096-02
"
xlink:href
="
note-0096-02a
"
xml:space
="
preserve
">TAB. V.
<
lb
/>
Fig. 5.</
note
>
deſcenſus per A D eſſe ut longitudo A C ad A D. </
s
>
<
s
xml:id
="
echoid-s1356
"
xml:space
="
preserve
">Eſt enim
<
lb
/>
tempus per A C æquale tempori motus æquabilis per ean-
<
lb
/>
dem A C, cum celeritate dimidia ejus quæ acquiritur caſu
<
lb
/>
per A C . </
s
>
<
s
xml:id
="
echoid-s1357
"
xml:space
="
preserve
">Similiter tempus per A D eſt æquale
<
note
symbol
="
*
"
position
="
left
"
xlink:label
="
note-0096-03
"
xlink:href
="
note-0096-03a
"
xml:space
="
preserve
">Prop. 1.
<
lb
/>
huj.</
note
>
motus æquabilis per ipſam A D, cum dimidia celeritate ejus
<
lb
/>
quæ acquiritur caſu per A D. </
s
>
<
s
xml:id
="
echoid-s1358
"
xml:space
="
preserve
">Eſt autem hæc dimidia celeri-
<
lb
/>
tas illi dimidiæ celerirati æqualis , ideoque dictum
<
note
symbol
="
*
"
position
="
left
"
xlink:label
="
note-0096-04
"
xlink:href
="
note-0096-04a
"
xml:space
="
preserve
">Prop.
<
lb
/>
præced.</
note
>
motus æquabilis per A C, ad tempus motus æquabilis per A D,
<
lb
/>
erit ut A C ad A D. </
s
>
<
s
xml:id
="
echoid-s1359
"
xml:space
="
preserve
">Ergo & </
s
>
<
s
xml:id
="
echoid-s1360
"
xml:space
="
preserve
">tempora ſingulis iſtis æqualia,
<
lb
/>
nimirum tempus deſcenſus per A C, ad tempus deſcenſus
<
lb
/>
per A D, eandem rationem habebunt, nempe quam A C
<
lb
/>
ad A D. </
s
>
<
s
xml:id
="
echoid-s1361
"
xml:space
="
preserve
">quod erat demonſtrandum.</
s
>
<
s
xml:id
="
echoid-s1362
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1363
"
xml:space
="
preserve
">Eodem modo oſtendetur & </
s
>
<
s
xml:id
="
echoid-s1364
"
xml:space
="
preserve
">tempus deſcenſus per A C, ad
<
lb
/>
tempus caſus per A B perpendicularem, eſſe ut A C ad
<
lb
/>
A B longitudine.</
s
>
<
s
xml:id
="
echoid-s1365
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div74
"
type
="
section
"
level
="
1
"
n
="
31
">
<
head
xml:id
="
echoid-head53
"
xml:space
="
preserve
">PROPOSITIO VIII.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1366
"
xml:space
="
preserve
">SI ex altitudine eadem deſcendat mobile conti-
<
lb
/>
nuato motu per quotlibet ac quælibet plana con-
<
lb
/>
tigua, utcunque inclinata; </
s
>
<
s
xml:id
="
echoid-s1367
"
xml:space
="
preserve
">ſemper eandem in fine
<
lb
/>
velocitatem acquiret, quæ nimirum æqualis erit ei
<
lb
/>
quam acquireret cadendo perpendiculariter ex pa-
<
lb
/>
ri altitudine.</
s
>
<
s
xml:id
="
echoid-s1368
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1369
"
xml:space
="
preserve
">Sint plana contigua A B, B C, C D, quorum terminus
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0096-05
"
xlink:href
="
note-0096-05a
"
xml:space
="
preserve
">TAB VI.
<
lb
/>
Fig. 1.</
note
>
A, ſupra horizontalem lineam D F per infimum terminum
<
lb
/>
D ductam, altitudinem habeat quanta eſt perpendicularis E F.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1370
"
xml:space
="
preserve
">deſcendatque mobile per plana illa ab A uſque in D. </
s
>
<
s
xml:id
="
echoid-s1371
"
xml:space
="
preserve
">Di-
<
lb
/>
co in D eam velocitatem habiturum quam, ex E cadens, ha-
<
lb
/>
beret in F.</
s
>
<
s
xml:id
="
echoid-s1372
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1373
"
xml:space
="
preserve
">Producta enim C B occurrat rectæ A E in G. </
s
>
<
s
xml:id
="
echoid-s1374
"
xml:space
="
preserve
">Itemque
<
lb
/>
D C producta occurrat eidem A E in E. </
s
>
<
s
xml:id
="
echoid-s1375
"
xml:space
="
preserve
">Quoniam </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>