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
>
181
182
(113)
183
(114)
184
185
186
187
(115)
188
(116)
189
(117)
190
(118)
<
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
|<
<
(117)
of 434
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div198
"
type
="
section
"
level
="
1
"
n
="
71
">
<
p
>
<
s
xml:id
="
echoid-s2700
"
xml:space
="
preserve
">
<
pb
o
="
117
"
file
="
0173
"
n
="
189
"
rhead
="
HOROLOG. OSCILLATOR.
"/>
rum quæ ex paraboloidibus naſcuntur conſtructionem, du-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0173-01
"
xlink:href
="
note-0173-01a
"
xml:space
="
preserve
">
<
emph
style
="
sc
">De linea-</
emph
>
<
lb
/>
<
emph
style
="
sc
">RUMCUR.</
emph
>
<
lb
/>
<
emph
style
="
sc
">VARUM</
emph
>
<
lb
/>
<
emph
style
="
sc
">EVOLUTIO-</
emph
>
<
lb
/>
<
emph
style
="
sc
">NE.</
emph
>
</
note
>
cendæ ſunt lineæ D B Z, quæ ad datum punctum B ſecent
<
lb
/>
curvas A B, ſive ipſarum tangentes B H, ad angulos re-
<
lb
/>
ctos; </
s
>
<
s
xml:id
="
echoid-s2701
"
xml:space
="
preserve
">dicemus in univerſum quomodo hæ tangentes inve-
<
lb
/>
niantur. </
s
>
<
s
xml:id
="
echoid-s2702
"
xml:space
="
preserve
">In æquatione itaque, quæ cujusque curvæ naturam
<
lb
/>
explicat, quales æquationes duabus tabellis præcedentibus
<
lb
/>
exponuntur, conſiderare oportet quæ ſint exponentes pote-
<
lb
/>
ſtatum x & </
s
>
<
s
xml:id
="
echoid-s2703
"
xml:space
="
preserve
">y, & </
s
>
<
s
xml:id
="
echoid-s2704
"
xml:space
="
preserve
">facere ut, ſicut exponens poteſtatis x ad
<
lb
/>
exponentem poteſtatis y, ita ſit S K ad K H. </
s
>
<
s
xml:id
="
echoid-s2705
"
xml:space
="
preserve
">Juncta enim
<
lb
/>
H B curvam in B continget. </
s
>
<
s
xml:id
="
echoid-s2706
"
xml:space
="
preserve
">Velut in tertia hyperboloide,
<
lb
/>
cujus æquatio eſt x y
<
emph
style
="
super
">2</
emph
>
= a
<
emph
style
="
super
">3</
emph
>
: </
s
>
<
s
xml:id
="
echoid-s2707
"
xml:space
="
preserve
">quia exponens poteſtatis x eſt
<
lb
/>
1, poteſtatis autem y exponens 2; </
s
>
<
s
xml:id
="
echoid-s2708
"
xml:space
="
preserve
">oportet eſſe ut 1 ad 2 ita
<
lb
/>
S K ad K H. </
s
>
<
s
xml:id
="
echoid-s2709
"
xml:space
="
preserve
">Horum autem demonſtrationem noverunt
<
lb
/>
analyticæ artis periti, qui jam pridem omnes has lineas con-
<
lb
/>
templari cœperunt; </
s
>
<
s
xml:id
="
echoid-s2710
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2711
"
xml:space
="
preserve
">non ſolum paraboloidum iſtarum,
<
lb
/>
ſed & </
s
>
<
s
xml:id
="
echoid-s2712
"
xml:space
="
preserve
">ſpatiorum quorundam infinitorum, inter hyperboloi-
<
lb
/>
des & </
s
>
<
s
xml:id
="
echoid-s2713
"
xml:space
="
preserve
">aſymptotos interjectorum, plana ſolidaque dimenſi
<
lb
/>
ſunt. </
s
>
<
s
xml:id
="
echoid-s2714
"
xml:space
="
preserve
">Quod quidem & </
s
>
<
s
xml:id
="
echoid-s2715
"
xml:space
="
preserve
">nos, facili atque univerſali metho-
<
lb
/>
do, expedire poſſemus, ex ſola tangentium proprietate ſum-
<
lb
/>
pta demonſtratione. </
s
>
<
s
xml:id
="
echoid-s2716
"
xml:space
="
preserve
">Sed illa non ſunt hujus loci.</
s
>
<
s
xml:id
="
echoid-s2717
"
xml:space
="
preserve
"/>
</
p
>
<
figure
number
="
73
">
<
image
file
="
0173-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0173-01
"/>
</
figure
>
</
div
>
<
div
xml:id
="
echoid-div212
"
type
="
section
"
level
="
1
"
n
="
72
">
<
head
xml:id
="
echoid-head96
"
xml:space
="
preserve
">HOROLOGII OSCILLATORII
<
lb
/>
PARS QUARTA.</
head
>
<
head
xml:id
="
echoid-head97
"
style
="
it
"
xml:space
="
preserve
">De centro Oſcillationis.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2718
"
xml:space
="
preserve
">CEntrorum Oſcillationis, ſeu Agitationis, inveſtigatio-
<
lb
/>
nem olim mihi, fere adhuc puero, aliiſque multis, do-
<
lb
/>
ctiſſimus Merſennus propoſuit, celebre admodum inter illius
<
lb
/>
temporis Geometras problema, prout ex litteris ejus ad me
<
lb
/>
datis colligo, nec non ex Carteſii haud pridem editis, qui-
<
lb
/>
bus ad Merſennianas ſuper his rebus reſponſum continetur.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2719
"
xml:space
="
preserve
">Poſtulabat autem centra illa ut invenirem in circuli </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>