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
|<
<
(48)
of 569
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div144
"
type
="
section
"
level
="
1
"
n
="
99
">
<
p
>
<
s
xml:id
="
echoid-s1240
"
xml:space
="
preserve
">
<
pb
o
="
48
"
file
="
0068
"
n
="
68
"
rhead
="
GEOMETRIÆ
"/>
eadem parallela plana eſſe æqualiter ad eandem partem inclinata.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1241
"
xml:space
="
preserve
">
<
note
position
="
left
"
xlink:label
="
note-0068-01
"
xlink:href
="
note-0068-01a
"
xml:space
="
preserve
">Defin. 3.
<
lb
/>
Vndec. El.</
note
>
Siigitur, AG, KY, eſſent dictis planis parallelis perpendiculares,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0068-02
"
xlink:href
="
note-0068-02a
"
xml:space
="
preserve
">18. Vnde-
<
lb
/>
cimi El.</
note
>
manifeſtum eſt, quod anguli, AGV, Κ Υ Λ, eſſent æquales, ideſt
<
lb
/>
recti, & </
s
>
<
s
xml:id
="
echoid-s1242
"
xml:space
="
preserve
">plana, AV, Κ Λ, eiſdem planis parallelis erecta; </
s
>
<
s
xml:id
="
echoid-s1243
"
xml:space
="
preserve
">ſed non
<
lb
/>
ſint perpendiculares, & </
s
>
<
s
xml:id
="
echoid-s1244
"
xml:space
="
preserve
">à punctis, A, K, demittanturipſę, AE, K
<
lb
/>
<
figure
xlink:label
="
fig-0068-01
"
xlink:href
="
fig-0068-01a
"
number
="
34
">
<
image
file
="
0068-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/05TCTFNR/figures/0068-01
"/>
</
figure
>
T, quæ eiſdem
<
lb
/>
ſint perpẽdicu-
<
lb
/>
lares, incidant
<
lb
/>
autem ſubiectis
<
lb
/>
planis in pun-
<
lb
/>
ctis, E, T; </
s
>
<
s
xml:id
="
echoid-s1245
"
xml:space
="
preserve
">de-
<
lb
/>
inde à puncto,
<
lb
/>
A, ad, HG, V
<
lb
/>
G, productas,
<
lb
/>
ducantur per-
<
lb
/>
pendiculares, A
<
lb
/>
F, quidem ipſi;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1246
"
xml:space
="
preserve
">HG, & </
s
>
<
s
xml:id
="
echoid-s1247
"
xml:space
="
preserve
">AP,
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0068-03
"
xlink:href
="
note-0068-03a
"
xml:space
="
preserve
">Vide di-
<
lb
/>
cta lib. 7.
<
lb
/>
annot.</
note
>
ipſi, VG, inci-
<
lb
/>
dentes in pun-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0068-04
"
xlink:href
="
note-0068-04a
"
xml:space
="
preserve
">Prop. 3.</
note
>
ctis, V, P, niſi
<
lb
/>
fortè, AG, eſſet
<
lb
/>
alteri earũ per-
<
lb
/>
pendicularis, vt
<
lb
/>
contingere po-
<
lb
/>
teſt, & </
s
>
<
s
xml:id
="
echoid-s1248
"
xml:space
="
preserve
">iungan-
<
lb
/>
tur, EP, EG,
<
lb
/>
EF; </
s
>
<
s
xml:id
="
echoid-s1249
"
xml:space
="
preserve
">ſimiliter in
<
lb
/>
alia figura ca-
<
lb
/>
dant à puncto,
<
lb
/>
K, perpendicu-
<
lb
/>
lariter ſuper ip-
<
lb
/>
ſas, & </
s
>
<
s
xml:id
="
echoid-s1250
"
xml:space
="
preserve
">Y, Λ Υ,
<
lb
/>
productas, ſi o-
<
lb
/>
pus ſit, ipſæ, K
<
lb
/>
Z, KX, & </
s
>
<
s
xml:id
="
echoid-s1251
"
xml:space
="
preserve
">iun-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0068-05
"
xlink:href
="
note-0068-05a
"
xml:space
="
preserve
">47. Primi
<
lb
/>
Elem.</
note
>
gantur ſimiliter, TX, TY, &</
s
>
<
s
xml:id
="
echoid-s1252
"
xml:space
="
preserve
">, TZ. </
s
>
<
s
xml:id
="
echoid-s1253
"
xml:space
="
preserve
">Quoniam ergo anguli, AF
<
lb
/>
G, KZY, ſunt recti, ideò quadratum, AG, erit æquales duobus
<
lb
/>
quadratis, AF, FG, ſicut quadratum, KY, æquale duobus, KZ,
<
lb
/>
ZY, eſt autem etiam quadratum, AF, ęquale duobus quadratis, A
<
lb
/>
E, EF, quia angulus, AEF. </
s
>
<
s
xml:id
="
echoid-s1254
"
xml:space
="
preserve
">rectus eſt, & </
s
>
<
s
xml:id
="
echoid-s1255
"
xml:space
="
preserve
">quadratum, KZ, pari-
<
lb
/>
teræquale quadratis, KT, TZ, ergo quadratum, AG, ideſt </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>