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
|<
<
(413)
of 568
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div143
"
type
="
section
"
level
="
1
"
n
="
62
">
<
p
>
<
s
xml:id
="
echoid-s2743
"
xml:space
="
preserve
">
<
pb
o
="
413
"
file
="
0131
"
n
="
140
"
rhead
="
DEFINITIONES.
"/>
omnibus contactum punctis polygoni regularis à tangen-
<
lb
/>
tibus comprehenſi, appello hæc polygona complicata.</
s
>
<
s
xml:id
="
echoid-s2744
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2745
"
xml:space
="
preserve
">5 Quantitatem dicimus à quantitatibus eſſe compoſitam;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2746
"
xml:space
="
preserve
">cum à quantitatum additione, ſubductione, multiplica-
<
lb
/>
tione, diviſione, radicum extractione, vel quacunque alia
<
lb
/>
imaginabili operatione, fit alia quantitas.</
s
>
<
s
xml:id
="
echoid-s2747
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2748
"
xml:space
="
preserve
">6 Quando quantitas componitur ex quantitatum additione,
<
lb
/>
ſubductione, multiplicatione, diviſione, radicum extra-
<
lb
/>
ctione; </
s
>
<
s
xml:id
="
echoid-s2749
"
xml:space
="
preserve
">dicimus illam componi analyticè.</
s
>
<
s
xml:id
="
echoid-s2750
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2751
"
xml:space
="
preserve
">7 Quando quantitates à quantitatibus inter ſe commenſura-
<
lb
/>
bilibus analyticè componi poſſunt, dicimus illas eſſe inter
<
lb
/>
ſe analyticas.</
s
>
<
s
xml:id
="
echoid-s2752
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2753
"
xml:space
="
preserve
">8 Si à quantitatibus quotcunque A, B, C, D, E, com-
<
lb
/>
ponatur quantitas X, & </
s
>
<
s
xml:id
="
echoid-s2754
"
xml:space
="
preserve
">à quantitatibus F, G, C, D, E,
<
lb
/>
componatur quantitas Z, eâdem omnino methodo & </
s
>
<
s
xml:id
="
echoid-s2755
"
xml:space
="
preserve
">iis-
<
lb
/>
dem omnino operationibus quibus antè componebatur X,
<
lb
/>
poſitis quantitatibus F, G, loco quantitatum A, B, ſi
<
lb
/>
inquam hoc fiat. </
s
>
<
s
xml:id
="
echoid-s2756
"
xml:space
="
preserve
">dicimus quantitatem X eodem modo
<
lb
/>
componi à quantitatibus A, B, quo Z componitur à
<
lb
/>
quantitatibus F, G.</
s
>
<
s
xml:id
="
echoid-s2757
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2758
"
xml:space
="
preserve
">9 Sint duæ quantitates A, B, à quibus compo-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0131-01
"
xlink:href
="
note-0131-01a
"
xml:space
="
preserve
">
<
lb
/>
A # B
<
lb
/>
C # D
<
lb
/>
E # F
<
lb
/>
G # H
<
lb
/>
</
note
>
nantur duæ aliæ quantitates C, D, quarum
<
lb
/>
differentia ſit minor differentia quantitatum
<
lb
/>
A, B, & </
s
>
<
s
xml:id
="
echoid-s2759
"
xml:space
="
preserve
">eodem modo quo C, componitur à
<
lb
/>
quantitatibus A, B, componatur E à quantita-
<
lb
/>
tibus C, D; </
s
>
<
s
xml:id
="
echoid-s2760
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2761
"
xml:space
="
preserve
">eodem modo quo D componitur à quan-
<
lb
/>
titatibus A, B, componatur F, à quantitatibus C, D; </
s
>
<
s
xml:id
="
echoid-s2762
"
xml:space
="
preserve
">&</
s
>
<
s
xml:id
="
echoid-s2763
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>