Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica
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 - 450
451 - 480
481 - 510
511 - 540
541 - 568
>
Scan
Original
21
321
22
322
23
323
24
324
25
26
27
28
325
29
326
30
31
32
33
327
34
328
35
36
37
38
329
39
330
40
331
41
332
42
333
43
334
44
335
45
336
46
337
47
338
48
339
49
340
50
<
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 - 450
451 - 480
481 - 510
511 - 540
541 - 568
>
page
|<
<
(323)
of 568
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div24
"
type
="
section
"
level
="
1
"
n
="
14
">
<
p
>
<
s
xml:id
="
echoid-s262
"
xml:space
="
preserve
">
<
pb
o
="
323
"
file
="
0023
"
n
="
23
"
rhead
="
HYPERB. ELLIPS. ET CIRC.
"/>
B D G, quoniam in ea ſunt centra gravitatis utriusque fi-
<
lb
/>
guræ circumſcriptæ ; </
s
>
<
s
xml:id
="
echoid-s263
"
xml:space
="
preserve
">igitur magnitudinis ex dictis
<
note
symbol
="
8
"
position
="
right
"
xlink:label
="
note-0023-01
"
xlink:href
="
note-0023-01a
"
xml:space
="
preserve
">Theor. 3. h.</
note
>
compoſitæ centrum grav. </
s
>
<
s
xml:id
="
echoid-s264
"
xml:space
="
preserve
">eſt ipſum punctum F. </
s
>
<
s
xml:id
="
echoid-s265
"
xml:space
="
preserve
">Poſitum au-
<
lb
/>
tem fuit L punctum centrum gravitatis ejus magnitudinis quæ
<
lb
/>
ex portione A B C & </
s
>
<
s
xml:id
="
echoid-s266
"
xml:space
="
preserve
">K F H triangulo componitur; </
s
>
<
s
xml:id
="
echoid-s267
"
xml:space
="
preserve
">igi-
<
lb
/>
tur magnitudinis reliquæ, compoſitæ ex duobus reſiduis,
<
lb
/>
quæ in figuris circumſcriptis remanent, erit centr. </
s
>
<
s
xml:id
="
echoid-s268
"
xml:space
="
preserve
">grav. </
s
>
<
s
xml:id
="
echoid-s269
"
xml:space
="
preserve
">in
<
lb
/>
producta L F, ubi ea ſic terminatur, ut pars adjecta habeat
<
lb
/>
ad F L eandem rationem quam portio A B C ſimul cum
<
lb
/>
K F H triangulo ad dicta duo reſidua : </
s
>
<
s
xml:id
="
echoid-s270
"
xml:space
="
preserve
">is autem
<
note
symbol
="
9
"
position
="
right
"
xlink:label
="
note-0023-02
"
xlink:href
="
note-0023-02a
"
xml:space
="
preserve
">8
<
unsure
/>
. lib. 1.
<
lb
/>
Archine. d e
<
lb
/>
Æquipond</
note
>
nus eſt N; </
s
>
<
s
xml:id
="
echoid-s271
"
xml:space
="
preserve
">itaque N punctum eſt centrum gravitatis duo-
<
lb
/>
rum reſiduorum. </
s
>
<
s
xml:id
="
echoid-s272
"
xml:space
="
preserve
">Quod fieri nequit; </
s
>
<
s
xml:id
="
echoid-s273
"
xml:space
="
preserve
">Nam ſi per N ducatur
<
lb
/>
recta baſi K H parallela, erunt ab una parte ſpatia omnia è
<
lb
/>
quibus utrumque reſiduum conſtat. </
s
>
<
s
xml:id
="
echoid-s274
"
xml:space
="
preserve
">Non eſt igitur L pun-
<
lb
/>
ctum centrum gravitatis magnitudinis ex portione A B C & </
s
>
<
s
xml:id
="
echoid-s275
"
xml:space
="
preserve
">
<
lb
/>
K F H triangulo compoſitæ. </
s
>
<
s
xml:id
="
echoid-s276
"
xml:space
="
preserve
">Sed neque erit ab altera parte
<
lb
/>
puncti F. </
s
>
<
s
xml:id
="
echoid-s277
"
xml:space
="
preserve
">Namque hoc ſi dicatur, planè ſimili demonſtratio-
<
lb
/>
ne eò devenietur ut duorum reſiduorum quæ demptâ portio-
<
lb
/>
ne A B C & </
s
>
<
s
xml:id
="
echoid-s278
"
xml:space
="
preserve
">K F H triangulo, in circumſcriptis figuris ſu-
<
lb
/>
pererunt, centrum gravitatis ſit ultra portionem A B C;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s279
"
xml:space
="
preserve
">quod eſt æquè abſurdum. </
s
>
<
s
xml:id
="
echoid-s280
"
xml:space
="
preserve
">Reliquum eſt igitur ut ſit ipſum pun-
<
lb
/>
ctum F; </
s
>
<
s
xml:id
="
echoid-s281
"
xml:space
="
preserve
">quod erat oſtendendum.</
s
>
<
s
xml:id
="
echoid-s282
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div28
"
type
="
section
"
level
="
1
"
n
="
15
">
<
head
xml:id
="
echoid-head27
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Theorema</
emph
>
VI.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s283
"
xml:space
="
preserve
">OMnis hyperboles portio ad triangulum inſcri-
<
lb
/>
ptum, eandem cum ipſa baſin habentem ean-
<
lb
/>
demque altitudinem, hanc habet rationem; </
s
>
<
s
xml:id
="
echoid-s284
"
xml:space
="
preserve
">quam
<
lb
/>
ſubſeſquialtera duarum, lateris tranſverſi & </
s
>
<
s
xml:id
="
echoid-s285
"
xml:space
="
preserve
">dia-
<
lb
/>
metri portionis, ad eam quæ ex centro ſectionis
<
lb
/>
ducitur ad portionis centrum gravitatis.</
s
>
<
s
xml:id
="
echoid-s286
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s287
"
xml:space
="
preserve
">Eſto hyperboles portio, & </
s
>
<
s
xml:id
="
echoid-s288
"
xml:space
="
preserve
">inſcriptus ei, qualem diximus,
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0023-03
"
xlink:href
="
note-0023-03a
"
xml:space
="
preserve
">TAB. XXXIV.
<
lb
/>
Fig. 8.</
note
>
triangulus A B C; </
s
>
<
s
xml:id
="
echoid-s289
"
xml:space
="
preserve
">diameter autem portionis ſit B D, & </
s
>
<
s
xml:id
="
echoid-s290
"
xml:space
="
preserve
">
<
lb
/>
latus tranſverſum ſive diameter ſectionis B E, in cujus me-
<
lb
/>
dio centrum ſectionis F. </
s
>
<
s
xml:id
="
echoid-s291
"
xml:space
="
preserve
">Et ponatur centrum gravitatis </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>