Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
page
|<
<
(125)
of 445
>
>|
<
echo
version
="
1.0
">
<
text
type
="
book
"
xml:lang
="
la
">
<
div
xml:id
="
echoid-div7
"
type
="
body
"
level
="
1
"
n
="
1
">
<
div
xml:id
="
echoid-div308
"
type
="
chapter
"
level
="
2
"
n
="
2
">
<
div
xml:id
="
echoid-div316
"
type
="
section
"
level
="
3
"
n
="
5
">
<
pb
o
="
125
"
rhead
="
DE PERSPECT.
"
n
="
137
"
file
="
0137
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0137
"/>
<
p
>
<
s
xml:id
="
echoid-s1543
"
xml:space
="
preserve
">Ad cuius rei
<
reg
norm
="
ſpeculationem
"
type
="
context
">ſpeculationẽ</
reg
>
, imaginatione con
<
lb
/>
<
figure
xlink:label
="
fig-0137-01
"
xlink:href
="
fig-0137-01a
"
number
="
188
">
<
image
file
="
0137-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0137-01
"/>
<
caption
xml:id
="
echoid-caption11
"
xml:space
="
preserve
">CORPOREA.</
caption
>
</
figure
>
cipiamus lineam
<
var
>.b.c.</
var
>
corpoream, protractam eſ
<
lb
/>
ſe vſque ad
<
var
>.y.</
var
>
lineæ
<
var
>.s.n.</
var
>
& imaginatione ſit com
<
lb
/>
<
reg
norm
="
præhenſa
"
type
="
context
">præhẽſa</
reg
>
linea
<
var
>.y.o.</
var
>
et
<
var
>.b.</
var
>
R
<
unsure
/>
. parallela eidem, ideo
<
lb
/>
ob rationes iam dictas de figura
<
var
>.A.</
var
>
hæ tres li-
<
lb
/>
neæ
<
var
>.o.y</
var
>
:
<
var
>i.c</
var
>
: et. </
s
>
<
s
xml:id
="
echoid-s1544
"
xml:space
="
preserve
">R
<
unsure
/>
<
var
>.b.</
var
>
ſimul cum linea
<
var
>.o.b.</
var
>
erunt
<
lb
/>
in vna eademq́ue ſuperficie plana, quam cha-
<
lb
/>
racteribus
<
var
>.y.</
var
>
R
<
unsure
/>
. notemus .et
<
var
>.i.c.</
var
>
eius erit ſe-
<
lb
/>
ctio communis cum plano, in quo quæritur
<
reg
norm
="
pun- ctum
"
type
="
context
">pũ-
<
lb
/>
ctum</
reg
>
, et
<
var
>.f.k.</
var
>
ipſius plani cum triangulo
<
var
>.o.b.m.</
var
>
<
lb
/>
erit ſectio communis, & parallela ipſi
<
var
>.q.d.</
var
>
ex
<
ref
id
="
ref-0022
">.
<
lb
/>
6. lib. 11.</
ref
>
quia
<
var
>.k.f.</
var
>
perpendicularis eſt ſuperfi-
<
lb
/>
ciei
<
var
>.p.t.</
var
>
ex .19. eiuſdem cum triangulus
<
var
>.o.
<
lb
/>
b.m.</
var
>
eidem ſuperficiei
<
var
>.p.t.</
var
>
ex .18. eiuſdem
<
lb
/>
perpendicularis exiſtat. </
s
>
<
s
xml:id
="
echoid-s1545
"
xml:space
="
preserve
">Vnde perſpicuè pa-
<
lb
/>
tet ratio quare protracta
<
unsure
/>
ſit parallela
<
var
>.b.c.</
var
>
et
<
lb
/>
quare ducta ſit
<
var
>.i.c.</
var
>
et coniuncta
<
var
>.x.m.</
var
>
cum
<
var
>.x.
<
lb
/>
p.</
var
>
directè, & quare ducta ſit
<
var
>.o.m.</
var
>
et
<
var
>.f.k</
var
>
. </
s
>
<
s
xml:id
="
echoid-s1546
"
xml:space
="
preserve
">Lau-
<
lb
/>
do igitur vt ſemper præſupponatur
<
var
>.p.x.</
var
>
perpen
<
lb
/>
dicularis baſi ipſius plani & præſupponatur, (vt
<
lb
/>
rem totam vnò verbo complectar) ſuperficies
<
var
>.
<
lb
/>
p.t.</
var
>
perpendicularis plano, & orizonti. </
s
>
<
s
xml:id
="
echoid-s1547
"
xml:space
="
preserve
">Quod
<
lb
/>
reliquum eſt, neceſſariv
<
unsure
/>
m non eſt, niſi ad ſpe-
<
lb
/>
culandum. </
s
>
<
s
xml:id
="
echoid-s1548
"
xml:space
="
preserve
">Neceſſariæ ergo non ſunt aliæli-
<
lb
/>
neæ, quàm.p.x:
<
var
>p.o.x.i</
var
>
:
<
var
>b.c</
var
>
: et
<
var
>.x.m.</
var
>
è dire-
<
lb
/>
cto coniuncta cum
<
var
>.p.x.</
var
>
(quæ
<
var
>.x.m.</
var
>
coniuncta
<
lb
/>
<
figure
xlink:label
="
fig-0137-02
"
xlink:href
="
fig-0137-02a
"
number
="
189
">
<
image
file
="
0137-02
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0137-02
"/>
<
caption
xml:id
="
echoid-caption12
"
xml:space
="
preserve
">SVPERFICIALIS.</
caption
>
</
figure
>
</
s
>
</
p
>
</
div
>
</
div
>
</
div
>
</
text
>
</
echo
>