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
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 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 568
>
171
(444)
172
(445)
173
(446)
174
(447)
175
(448)
176
(449)
177
(450)
178
179
180
<
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 - 440
441 - 450
451 - 460
461 - 470
471 - 480
481 - 490
491 - 500
501 - 510
511 - 520
521 - 530
531 - 540
541 - 550
551 - 560
561 - 568
>
page
|<
<
(450)
of 568
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div210
"
type
="
section
"
level
="
1
"
n
="
102
">
<
p
>
<
s
xml:id
="
echoid-s3793
"
xml:space
="
preserve
">
<
pb
o
="
450
"
file
="
0168
"
n
="
177
"
rhead
="
VERA CIRCULI.
"/>
pezium L I K M eſſe medium arithmeticum inter prædicta re-
<
lb
/>
ctangula, hoc eſt 49500000000000000000000000. </
s
>
<
s
xml:id
="
echoid-s3794
"
xml:space
="
preserve
">invenia-
<
lb
/>
tur inter rectangula L N K M, Q I K M, medium geometri-
<
lb
/>
cum 28460498941515413987990042 quod erit pentagonum
<
lb
/>
ſpatio hyperbolico L I K M regulariter circumſcriptum. </
s
>
<
s
xml:id
="
echoid-s3795
"
xml:space
="
preserve
">Sit-
<
lb
/>
que ut trapezium LIKM unà cum dicto pentagono circumſcri-
<
lb
/>
pto ad dictum pentagonum, ita duplum dicti pentagoni ad
<
lb
/>
hexagonum ſpatio hyperbolico L I K M regulariter inſcriptum,
<
lb
/>
nempe 20779754131836628160009835; </
s
>
<
s
xml:id
="
echoid-s3796
"
xml:space
="
preserve
">quod hexagonum
<
lb
/>
erit polygonum complicatum cum prædicto pentagono; </
s
>
<
s
xml:id
="
echoid-s3797
"
xml:space
="
preserve
">quæ
<
lb
/>
duo rectilinea efficiant primos ſeriei terminos convergentes:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s3798
"
xml:space
="
preserve
">inter quæ ſit medium geometricum cujus quadrati duplum di-
<
lb
/>
vidatur per idem medium geometricum unà cum majori ter-
<
lb
/>
mino ſeu pentagono circumſcripto; </
s
>
<
s
xml:id
="
echoid-s3799
"
xml:space
="
preserve
">eruntque medium geo-
<
lb
/>
metricum & </
s
>
<
s
xml:id
="
echoid-s3800
"
xml:space
="
preserve
">quotus, ſecundi terminiconvergentes: </
s
>
<
s
xml:id
="
echoid-s3801
"
xml:space
="
preserve
">atque ita
<
lb
/>
continuetur ſeries hæc convergens polygonorum complica-
<
lb
/>
torum, donec medietas prima notarum eadem ſit in utroque
<
lb
/>
termino convergente, nempe ad terminum vigeſimum; </
s
>
<
s
xml:id
="
echoid-s3802
"
xml:space
="
preserve
">po-
<
lb
/>
lygonum enim circumſcriptum eſt 23025850929958961534-
<
lb
/>
173864, & </
s
>
<
s
xml:id
="
echoid-s3803
"
xml:space
="
preserve
">inſcriptum 23025850929931203593181124: </
s
>
<
s
xml:id
="
echoid-s3804
"
xml:space
="
preserve
">ad-
<
lb
/>
hibeatur deinde approximatio in hujus 23 & </
s
>
<
s
xml:id
="
echoid-s3805
"
xml:space
="
preserve
">24 demonſtra-
<
lb
/>
ta, & </
s
>
<
s
xml:id
="
echoid-s3806
"
xml:space
="
preserve
">invenientur termini intra quos conſiſtit vera ſpatii
<
lb
/>
hyperbolici L I K M menſura, nempe 230258509299404562-
<
lb
/>
40178681, minor ſpatio, & </
s
>
<
s
xml:id
="
echoid-s3807
"
xml:space
="
preserve
">23025850929940456240178704
<
lb
/>
eodem major, & </
s
>
<
s
xml:id
="
echoid-s3808
"
xml:space
="
preserve
">ideo non latet ſpatii menſura, quam in-
<
lb
/>
venire oportuit: </
s
>
<
s
xml:id
="
echoid-s3809
"
xml:space
="
preserve
">totam polygonorum ſeriem hic appono unà
<
lb
/>
cum numero rectarum curvam hyperbolicam ſubtendentium
<
lb
/>
in unoquoque polygono circumſcripto.</
s
>
<
s
xml:id
="
echoid-s3810
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>