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 Notes
<
1 - 2
[out of range]
>
[Note]
Page: 19
[Note]
Page: 19
[Note]
Page: 19
[Note]
Page: 19
[Note]
Page: 19
[Note]
Page: 19
[Note]
Page: 19
[Note]
Page: 20
[Note]
Page: 21
[Note]
Page: 21
[Note]
Page: 21
[Note]
Page: 22
[Note]
Page: 22
[Note]
Page: 22
[Note]
Page: 22
[Note]
Page: 22
[Note]
Page: 23
[Note]
Page: 23
[Note]
Page: 23
[Note]
Page: 24
[Note]
Page: 24
[Note]
Page: 24
[Note]
Page: 24
[Note]
Page: 24
[Note]
Page: 28
[Note]
Page: 28
[Note]
Page: 28
[Note]
Page: 28
[Note]
Page: 28
[Note]
Page: 28
<
1 - 2
[out of range]
>
page
|<
<
(320)
of 568
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div21
"
type
="
section
"
level
="
1
"
n
="
13
">
<
p
>
<
s
xml:id
="
echoid-s179
"
xml:space
="
preserve
">
<
pb
o
="
320
"
file
="
0020
"
n
="
20
"
rhead
="
THEOR. DE QUADRAT.
"/>
rantur duæ æquales E S, B P, & </
s
>
<
s
xml:id
="
echoid-s180
"
xml:space
="
preserve
">inſuper alia P D. </
s
>
<
s
xml:id
="
echoid-s181
"
xml:space
="
preserve
">Dico
<
lb
/>
iterum, id quo rectangulum E D B excedit E P B, æquari
<
lb
/>
rectangulo S D P. </
s
>
<
s
xml:id
="
echoid-s182
"
xml:space
="
preserve
">Rectangulum enim E D B æquale eſt iſtis
<
lb
/>
duobus, rectangulo E D P, & </
s
>
<
s
xml:id
="
echoid-s183
"
xml:space
="
preserve
">rectangulo ſub E D, P B;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s184
"
xml:space
="
preserve
">horum autem E D P rurſus æquale eſt duobus, rectangulo ni-
<
lb
/>
mirum S D P, & </
s
>
<
s
xml:id
="
echoid-s185
"
xml:space
="
preserve
">ei quod continetur ſub E S, D P, ſive
<
lb
/>
rectangulo D P B. </
s
>
<
s
xml:id
="
echoid-s186
"
xml:space
="
preserve
">Igitur rectangulum E D B iſtis tribus æ-
<
lb
/>
quale eſt rectangulis, S D P, D P B, & </
s
>
<
s
xml:id
="
echoid-s187
"
xml:space
="
preserve
">rectangulo ſub
<
lb
/>
E D, P B; </
s
>
<
s
xml:id
="
echoid-s188
"
xml:space
="
preserve
">horum vero duo poſtrema æquantur rectangu-
<
lb
/>
lo E P B; </
s
>
<
s
xml:id
="
echoid-s189
"
xml:space
="
preserve
">ergo rectangulum E D B æquale eſt duobus, re-
<
lb
/>
ctangulo nimirum S D P & </
s
>
<
s
xml:id
="
echoid-s190
"
xml:space
="
preserve
">E P B, unde apparet exceſ-
<
lb
/>
ſum rectanguli E D B ſupra rectangulum E P B æquari re-
<
lb
/>
ctangulo S D P.</
s
>
<
s
xml:id
="
echoid-s191
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div24
"
type
="
section
"
level
="
1
"
n
="
14
">
<
head
xml:id
="
echoid-head26
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Theorema</
emph
>
V.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s192
"
xml:space
="
preserve
">DAtâ portione hyperboles, vel ellipſis vel cir-
<
lb
/>
culi portione, dimidiâ figurâ non majore; </
s
>
<
s
xml:id
="
echoid-s193
"
xml:space
="
preserve
">ſi ad
<
lb
/>
diametrum conſtituatur triangulus hujuſmodi, qui
<
lb
/>
verticem habeat in centro figuræ, & </
s
>
<
s
xml:id
="
echoid-s194
"
xml:space
="
preserve
">baſin portio-
<
lb
/>
nis baſi æqualem & </
s
>
<
s
xml:id
="
echoid-s195
"
xml:space
="
preserve
">parallelam; </
s
>
<
s
xml:id
="
echoid-s196
"
xml:space
="
preserve
">eam verò quæ de-
<
lb
/>
inceps à vertice ad mediam baſin pertingit tantam,
<
lb
/>
ut poſſit ipſa rectangulum comprehenſum lineis, quæ
<
lb
/>
inter portionis baſin & </
s
>
<
s
xml:id
="
echoid-s197
"
xml:space
="
preserve
">terminos diametri figuræ in-
<
lb
/>
terjiciuntur. </
s
>
<
s
xml:id
="
echoid-s198
"
xml:space
="
preserve
">Erit magnitudinis, quæ ex portione & </
s
>
<
s
xml:id
="
echoid-s199
"
xml:space
="
preserve
">
<
lb
/>
præſcripto triangulo componitur, centrum gravita-
<
lb
/>
tis punctum idem quod eſt trianguli vertex, cen-
<
lb
/>
trum nimirum figuræ.</
s
>
<
s
xml:id
="
echoid-s200
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s201
"
xml:space
="
preserve
">Data ſit portio hyberboles, vel ellipſis vel circuli portio
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0020-01
"
xlink:href
="
note-0020-01a
"
xml:space
="
preserve
">TAB. XXXV.
<
lb
/>
Fig. 1. 2. 3.</
note
>
dimidiâ figurâ non major, A B C. </
s
>
<
s
xml:id
="
echoid-s202
"
xml:space
="
preserve
">Diameter ejus ſit B D,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s203
"
xml:space
="
preserve
">figuræ diameter B E, in cujus medio centrum figuræ F.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s204
"
xml:space
="
preserve
">Et ſumatur F G quæ poſſit rectangulum B D E, ductâque
<
lb
/>
K G H æquali & </
s
>
<
s
xml:id
="
echoid-s205
"
xml:space
="
preserve
">parallelâ baſi A C, quæque ad G </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>