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
Table of handwritten notes
<
1 - 2
[out of range]
>
<
1 - 2
[out of range]
>
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
>