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
61
349
62
350
63
64
65
66
67
68
69
70
358
71
359
72
360
73
361
74
362
75
363
76
364
77
365
78
366
79
80
81
82
367
83
368
84
369
85
370
86
371
87
372
88
373
89
374
90
375
<
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
|<
<
of 568
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div53
"
type
="
section
"
level
="
1
"
n
="
23
">
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1107
"
xml:space
="
preserve
">
<
pb
file
="
0062
"
n
="
66
"
rhead
="
PRÆFATIO.
"/>
ro polygonum eâdem proportione circuli are-
<
lb
/>
am exuperat. </
s
>
<
s
xml:id
="
echoid-s1108
"
xml:space
="
preserve
">Et hoc quidem ut inter ea quæ de-
<
lb
/>
monſtraturi ſumus & </
s
>
<
s
xml:id
="
echoid-s1109
"
xml:space
="
preserve
">difficillimum & </
s
>
<
s
xml:id
="
echoid-s1110
"
xml:space
="
preserve
">contempla-
<
lb
/>
tione præcipue dignum videatur, alia tamen ſunt
<
lb
/>
non accuratiora modò, ſed quæ & </
s
>
<
s
xml:id
="
echoid-s1111
"
xml:space
="
preserve
">uſu magis pro-
<
lb
/>
bentur; </
s
>
<
s
xml:id
="
echoid-s1112
"
xml:space
="
preserve
">quæ ſane hic in anteceſſum non recenſebi-
<
lb
/>
mus, quippe in ſequentibus rectius percipienda. </
s
>
<
s
xml:id
="
echoid-s1113
"
xml:space
="
preserve
">Bre-
<
lb
/>
viter tamen quid ſtudiis Geometriæ conferant ex-
<
lb
/>
poſuiſſe proderit, cum non minimam habeant utili-
<
lb
/>
tatis commendationem. </
s
>
<
s
xml:id
="
echoid-s1114
"
xml:space
="
preserve
">Cum igitur duplicem propo-
<
lb
/>
ſiti tractationem inſtituerimus, primum eatraden-
<
lb
/>
do quorum demonſtratio conſuetis Geometriæ ele-
<
lb
/>
mentis contenta eſt, deinde centrorum gravitatis
<
lb
/>
quoque conſiderationem adhibendo: </
s
>
<
s
xml:id
="
echoid-s1115
"
xml:space
="
preserve
">in prioribus
<
lb
/>
quidem illud explicatum reperietur, quomodo non
<
lb
/>
tantum circumferentiæ toti, ſed & </
s
>
<
s
xml:id
="
echoid-s1116
"
xml:space
="
preserve
">arcui cuilibet
<
lb
/>
dato recta linea æqualis invenienda ſit; </
s
>
<
s
xml:id
="
echoid-s1117
"
xml:space
="
preserve
">expeditâ
<
lb
/>
ratione ad Mechanicas conſtructiones, quæque vel
<
lb
/>
ſubtiliſſimas earum minime fruſtretur. </
s
>
<
s
xml:id
="
echoid-s1118
"
xml:space
="
preserve
">Quomodo
<
lb
/>
item numeros exercentibus peripheriæ ad diametrum
<
lb
/>
ratio, quam Archimedes ex polygonis laterum 96
<
lb
/>
eruit, per dodecagona ſola comprobari queat. </
s
>
<
s
xml:id
="
echoid-s1119
"
xml:space
="
preserve
">Ex
<
lb
/>
polygonis autem laterum 10800, cum iis qui vete-
<
lb
/>
rem inſiſtunt viam vix hi peripheriæ termini exi-
<
lb
/>
ſtant 62831852 & </
s
>
<
s
xml:id
="
echoid-s1120
"
xml:space
="
preserve
">62831855, ad diametrum par-
<
lb
/>
tium 20000000, noſtrâ Methodo iſti prodiiſſe cer-
<
lb
/>
nentur, 6283185307179584, 6283185307179589;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1121
"
xml:space
="
preserve
">ſemperque duplicem obtineri verorum characterum
<
lb
/>
numerum, quacunque laterum multitudine </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>