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
|<
<
(324)
of 568
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div28
"
type
="
section
"
level
="
1
"
n
="
15
">
<
p
>
<
s
xml:id
="
echoid-s291
"
xml:space
="
preserve
">
<
pb
o
="
324
"
file
="
0024
"
n
="
24
"
rhead
="
THEOR. DE QUADRAT.
"/>
portione punctum L. </
s
>
<
s
xml:id
="
echoid-s292
"
xml:space
="
preserve
">Dico portionem ad inſcriptum trian-
<
lb
/>
gulum A B C eam habere rationem, quam duæ tertiæ to-
<
lb
/>
tius E D ad F L.</
s
>
<
s
xml:id
="
echoid-s293
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s294
"
xml:space
="
preserve
">Conſtituatur enim ad diametrum, ut in præcedentibus,
<
lb
/>
triangulus K F H; </
s
>
<
s
xml:id
="
echoid-s295
"
xml:space
="
preserve
">ſcilicet ut quadratum F G æquetur re-
<
lb
/>
ctangulo E D B, & </
s
>
<
s
xml:id
="
echoid-s296
"
xml:space
="
preserve
">ut baſis K H ſit baſi A C æqualis & </
s
>
<
s
xml:id
="
echoid-s297
"
xml:space
="
preserve
">
<
lb
/>
parallela: </
s
>
<
s
xml:id
="
echoid-s298
"
xml:space
="
preserve
">ejuſque trianguli ſit centrum gravitatis M, ſum-
<
lb
/>
ptâ nimirum F M æquali duabus tertiis lineæ F G .</
s
>
<
s
xml:id
="
echoid-s299
"
xml:space
="
preserve
"/>
</
p
>
<
note
symbol
="
1
"
position
="
left
"
xml:space
="
preserve
">14. lib. 1.
<
lb
/>
Arch. de
<
lb
/>
Æquip.</
note
>
<
p
>
<
s
xml:id
="
echoid-s300
"
xml:space
="
preserve
">Eſt itaque triangulus K F H ad A B C triangulum, ut
<
lb
/>
F G ad B D: </
s
>
<
s
xml:id
="
echoid-s301
"
xml:space
="
preserve
">verùm ut F G ad B D, ita eſt E D ad F G,
<
lb
/>
quia quadratum F G æquale eſt rectangulo E D B; </
s
>
<
s
xml:id
="
echoid-s302
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s303
"
xml:space
="
preserve
">ut
<
lb
/>
E D ad F G, ita ſunt duæ tertiæ E D ad duas tertias F G,
<
lb
/>
id eſt F M; </
s
>
<
s
xml:id
="
echoid-s304
"
xml:space
="
preserve
">ergo triangulus K F H ad triangulum A B C,
<
lb
/>
ut duæ tertiæ E D ad F M. </
s
>
<
s
xml:id
="
echoid-s305
"
xml:space
="
preserve
">Eſt autem portio hyperboles
<
lb
/>
ad triangulum K F H, ut F M ad F L , quoniam
<
note
symbol
="
2
"
position
="
left
"
xlink:label
="
note-0024-02
"
xlink:href
="
note-0024-02a
"
xml:space
="
preserve
">7. lib. 1.
<
lb
/>
Archim. de
<
lb
/>
Æquipond.</
note
>
librium portionis & </
s
>
<
s
xml:id
="
echoid-s306
"
xml:space
="
preserve
">trianguli K F H eſt in puncto F , &</
s
>
<
s
xml:id
="
echoid-s307
"
xml:space
="
preserve
"> centra gravitatis ſingulorum puncta L & </
s
>
<
s
xml:id
="
echoid-s308
"
xml:space
="
preserve
">M; </
s
>
<
s
xml:id
="
echoid-s309
"
xml:space
="
preserve
">ex æquali igi-
<
lb
/>
<
note
symbol
="
3
"
position
="
left
"
xlink:label
="
note-0024-03
"
xlink:href
="
note-0024-03a
"
xml:space
="
preserve
">Thcor. 5. h.</
note
>
tur in proportione perturbata, erit portio ad triangulum
<
lb
/>
A B C, ut duæ tertiæ lineæ E D ad F L : </
s
>
<
s
xml:id
="
echoid-s310
"
xml:space
="
preserve
">quod erat
<
note
symbol
="
4
"
position
="
left
"
xlink:label
="
note-0024-04
"
xlink:href
="
note-0024-04a
"
xml:space
="
preserve
">23. lib. 5.
<
lb
/>
Elem.</
note
>
monſtrandum.</
s
>
<
s
xml:id
="
echoid-s311
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div31
"
type
="
section
"
level
="
1
"
n
="
16
">
<
head
xml:id
="
echoid-head28
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Theorema</
emph
>
VII.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s312
"
xml:space
="
preserve
">OMnis ellipſis vel circuli portio ad triangulum
<
lb
/>
inſcriptum, eandem cum ipſa baſin habentem
<
lb
/>
eandemque altitudinem, hanc habet rationem; </
s
>
<
s
xml:id
="
echoid-s313
"
xml:space
="
preserve
">quam
<
lb
/>
ſubſeſquialtera diametri portionis reliquæ, ad eam
<
lb
/>
quæ ex figuræ centro ducitur ad centrum gravitatis
<
lb
/>
in portione.</
s
>
<
s
xml:id
="
echoid-s314
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s315
"
xml:space
="
preserve
">Eſto ellipſis vel circuli portio primùm dimidiâ figurâ non
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0024-05
"
xlink:href
="
note-0024-05a
"
xml:space
="
preserve
">TAB. XXXV.
<
lb
/>
Fig. 4. 5.</
note
>
major, & </
s
>
<
s
xml:id
="
echoid-s316
"
xml:space
="
preserve
">inſcriptus ei triangulus A B C, eandem cum
<
lb
/>
portione baſin habens, eandemque altitudinem; </
s
>
<
s
xml:id
="
echoid-s317
"
xml:space
="
preserve
">diameter au-
<
lb
/>
tem portionis ſit B D, quæ producatur, & </
s
>
<
s
xml:id
="
echoid-s318
"
xml:space
="
preserve
">manifeſtum eſt
<
lb
/>
quod tranſibit per centrum figuræ; </
s
>
<
s
xml:id
="
echoid-s319
"
xml:space
="
preserve
">ſit hoc F, & </
s
>
<
s
xml:id
="
echoid-s320
"
xml:space
="
preserve
">diameter
<
lb
/>
portionis reliquæ D E. </
s
>
<
s
xml:id
="
echoid-s321
"
xml:space
="
preserve
">Et ponatur centrum gravitatis in </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>