Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Table of handwritten notes
<
1 - 8
[out of range]
>
<
1 - 8
[out of range]
>
page
|<
<
(197)
of 569
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div493
"
type
="
section
"
level
="
1
"
n
="
298
">
<
pb
o
="
197
"
file
="
0217
"
n
="
217
"
rhead
="
GEOMETRIÆ
"/>
</
div
>
<
div
xml:id
="
echoid-div494
"
type
="
section
"
level
="
1
"
n
="
299
">
<
head
xml:id
="
echoid-head315
"
xml:space
="
preserve
">CAVALERII
<
lb
/>
LIBER TERTIVS.</
head
>
<
head
xml:id
="
echoid-head316
"
xml:space
="
preserve
">In quo de circulo, & Ellipſi, ac ſolidis ab
<
lb
/>
eiſdem genitis, traditur doctrina.</
head
>
<
figure
number
="
131
">
<
image
file
="
0217-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0217-01
"/>
</
figure
>
</
div
>
<
div
xml:id
="
echoid-div495
"
type
="
section
"
level
="
1
"
n
="
300
">
<
head
xml:id
="
echoid-head317
"
xml:space
="
preserve
">THEOREMA I. PROPOS. I.</
head
>
<
p
>
<
s
xml:id
="
echoid-s4848
"
xml:space
="
preserve
">OMnia quadrata portionis circuli, vel El-
<
lb
/>
lipſis, ad omnia quadrata parallelo-
<
lb
/>
grammi in eadem baſi, & </
s
>
<
s
xml:id
="
echoid-s4849
"
xml:space
="
preserve
">altitudine
<
lb
/>
cum portione conſtituti, regula baſi,
<
lb
/>
erunt, vt compoſita ex ſexta parte axis,
<
lb
/>
vel diametri eiuſdem, & </
s
>
<
s
xml:id
="
echoid-s4850
"
xml:space
="
preserve
">dimidia reli-
<
lb
/>
quæ portionis, ad axim, vel diame-
<
lb
/>
trum reliquæ portionis: </
s
>
<
s
xml:id
="
echoid-s4851
"
xml:space
="
preserve
">Eadem verò
<
lb
/>
ad omnia quadrata trianguli in ijſdem
<
lb
/>
exiſtentis erunt, vt compoſita ex dimidia totius, & </
s
>
<
s
xml:id
="
echoid-s4852
"
xml:space
="
preserve
">reliquæ
<
lb
/>
portionis axi, vel diametro, ad axim, vel diametrum reliquæ
<
lb
/>
portionis.</
s
>
<
s
xml:id
="
echoid-s4853
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4854
"
xml:space
="
preserve
">Sit circulus, vel ellipſis, EDRP, cuius axis, vel diameter, ER,
<
lb
/>
ad quem ordinatim applicetur, DP, abſcindens vtcumque portio-
<
lb
/>
nem, DEP, quæ ſumatur quoq; </
s
>
<
s
xml:id
="
echoid-s4855
"
xml:space
="
preserve
">pro regula, & </
s
>
<
s
xml:id
="
echoid-s4856
"
xml:space
="
preserve
">centrum ſit, A, ac
<
lb
/>
parallelogrammum, FP, in eadem baſi, DP, cum portione, & </
s
>
<
s
xml:id
="
echoid-s4857
"
xml:space
="
preserve
">ea-
<
lb
/>
dem altitudine; </
s
>
<
s
xml:id
="
echoid-s4858
"
xml:space
="
preserve
">ſint autem primò, DF, PH, latera parallelogram-
<
lb
/>
mi, FP, parallela ipſi, ER. </
s
>
<
s
xml:id
="
echoid-s4859
"
xml:space
="
preserve
">Dico ergo omnia quadrata portionis,
<
lb
/>
DEP, ad omnia quadrata parallelogrammi, FP, eſſe, vt compo-
<
lb
/>
ſita ex ſexta parte, EB, & </
s
>
<
s
xml:id
="
echoid-s4860
"
xml:space
="
preserve
">dimidia, BR, adipſam, BR. </
s
>
<
s
xml:id
="
echoid-s4861
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>