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
Table of Notes
<
1 - 22
[out of range]
>
<
1 - 22
[out of range]
>
page
|<
<
(307)
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-div477
"
type
="
chapter
"
level
="
2
"
n
="
6
">
<
div
xml:id
="
echoid-div591
"
type
="
section
"
level
="
3
"
n
="
22
">
<
div
xml:id
="
echoid-div599
"
type
="
letter
"
level
="
4
"
n
="
4
">
<
p
>
<
s
xml:id
="
echoid-s3784
"
xml:space
="
preserve
">
<
pb
o
="
307
"
rhead
="
EPISTOLAE.
"
n
="
319
"
file
="
0319
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0319
"/>
ſe habet ad triangulum
<
var
>b.p.x.</
var
>
ducatur poſtea
<
var
>.o.q.</
var
>
quæ diuidat totale triangulum
<
var
>.d.
<
lb
/>
u.x.</
var
>
in duas partes inuicem ita proportionatas, ut ſe habent
<
var
>t.r.</
var
>
et
<
var
>.r.e.</
var
>
quæ quidem
<
lb
/>
partes ſint
<
var
>.c.d.u.q.</
var
>
et
<
var
>.c.q.x.</
var
>
ut in primo problemate tibi monſtraui, & habebis pro-
<
lb
/>
poſitum, dato quod punctum
<
var
>.c.</
var
>
ſit inter
<
lb
/>
b. et
<
var
>.d</
var
>
.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3785
"
xml:space
="
preserve
">Sed ſi forte linea
<
var
>.o.q.</
var
>
ſecabit
<
var
>.b.x.</
var
>
hoc
<
lb
/>
<
figure
xlink:label
="
fig-0319-01
"
xlink:href
="
fig-0319-01a
"
number
="
342
">
<
image
file
="
0319-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0319-01
"/>
</
figure
>
eſt ſi punctum
<
var
>.c.</
var
>
eſſet inter
<
var
>.b.</
var
>
et
<
var
>.x.</
var
>
mani-
<
lb
/>
feſtum eſt, quod
<
var
>.c.q.</
var
>
ſecaret
<
var
>.b.p.</
var
>
in pun-
<
lb
/>
cto
<
var
>.y.</
var
>
vnde in tali caſu, alio modo ope-
<
lb
/>
randum eſſet, hoc eſt ducendo
<
var
>.b.u.</
var
>
quæ
<
lb
/>
diuideret quadrilaterum in duo triangu-
<
lb
/>
la, & ut ſe haberet triangulum
<
var
>.b.d.u.</
var
>
ad
<
lb
/>
triangulum
<
var
>.b.p.u.</
var
>
vellem vt ita ſecaretur
<
lb
/>
<
var
>t.i.</
var
>
in puncto
<
var
>.n.</
var
>
vt ita ſe haberet
<
var
>.t.n.</
var
>
ad
<
var
>.n.
<
lb
/>
i.</
var
>
ut dictum eſt de iſtis duobus triangulis,
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s3786
"
xml:space
="
preserve
">deinde prout ſe habet
<
var
>.n.r.</
var
>
ad
<
var
>.r.i.</
var
>
ita ſeca-
<
lb
/>
res triangulum
<
var
>.b.p.u.</
var
>
mediante linea
<
var
>.o.
<
lb
/>
K.</
var
>
ex doctrina primi problematis, & ita haberes propoſitum.</
s
>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div601
"
type
="
letter
"
level
="
4
"
n
="
5
">
<
head
xml:id
="
echoid-head465
"
style
="
it
"
xml:space
="
preserve
">Idem de Pentagono, Exagono, & de reliquis.</
head
>
<
head
xml:id
="
echoid-head466
"
xml:space
="
preserve
">AD EVNDEM.</
head
>
<
p
>
<
s
xml:id
="
echoid-s3787
"
xml:space
="
preserve
">PEntagonum, ſeu hexagonum, vel alias quaſuis multilateras figuras propoſitas its
<
lb
/>
diuidere, vt dictum eſt de trilateris, & quadrilateris.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3788
"
xml:space
="
preserve
">Sit exempli gratia pentagonus
<
var
>.a.d.u.p.b.</
var
>
quem ſecare volumus
<
reg
norm
="
mediante
"
type
="
context
">mediãte</
reg
>
linea
<
var
>.o.
<
lb
/>
q.</
var
>
in duas partes inuicem ſe habentes, vt ſe habent
<
var
>.t.r.</
var
>
et
<
var
>.r.i.</
var
>
oportet igitur ut ipſum
<
lb
/>
pentagonum reducas ad quadrilaterum
<
var
>.x.a.d.u.</
var
>
quod diuidatur ſecundum præce-
<
lb
/>
dentem doctrinam, vt ſe habet
<
var
>.t.r.</
var
>
ad
<
var
>.r.e.</
var
>
<
lb
/>
vnde ſi punctum
<
var
>.q.</
var
>
incidit inter
<
var
>.p.</
var
>
et
<
var
>.u</
var
>
. </
s
>
<
s
xml:id
="
echoid-s3789
"
xml:space
="
preserve
">tunc
<
lb
/>
habebis propoſitum, ſi verò incidet inter
<
var
>.
<
lb
/>
<
figure
xlink:label
="
fig-0319-02
"
xlink:href
="
fig-0319-02a
"
number
="
343
">
<
image
file
="
0319-02
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0319-02
"/>
</
figure
>
p.</
var
>
et
<
var
>.x.</
var
>
clarum erit quod linea
<
var
>.o.q.</
var
>
ſecabit
<
lb
/>
latus
<
var
>.p.b.</
var
>
trianguli
<
var
>.b.x.p.</
var
>
in puncto
<
var
>.y.</
var
>
qua-
<
lb
/>
propter duces lineam
<
var
>.a.p.</
var
>
vt claudat trian-
<
lb
/>
gulum
<
var
>.a.b.p.</
var
>
<
reg
norm
="
diuidaturque
"
type
="
simple
">diuidaturq́;</
reg
>
<
var
>.t.i.</
var
>
in puncto
<
var
>.n.</
var
>
ita
<
lb
/>
vt
<
var
>.t.n.</
var
>
ad
<
var
>.n.i.</
var
>
ſe habeat, vt quadrilaterum. a
<
unsure
/>
<
var
>.
<
lb
/>
d.u.p.</
var
>
ad
<
reg
norm
="
triangulum
"
type
="
context
">triãgulum</
reg
>
<
var
>.a.b.p</
var
>
. </
s
>
<
s
xml:id
="
echoid-s3790
"
xml:space
="
preserve
">deinde
<
reg
norm
="
hunc
"
type
="
context
">hũc</
reg
>
trian
<
lb
/>
gulum
<
var
>.a.b.p.</
var
>
diuidas mediante linea
<
var
>.o.K.</
var
>
<
lb
/>
vt
<
var
>.n.r.</
var
>
ad
<
var
>.r.i.</
var
>
ex doctrina primi problematis
<
lb
/>
& habebis propoſitum. </
s
>
<
s
xml:id
="
echoid-s3791
"
xml:space
="
preserve
">Idem dico de hexa
<
lb
/>
gono, reducendo ipſum ad pentagonum, &
<
lb
/>
item de eptagono, ipſum reducendo ad exa
<
lb
/>
gonum, & idem infero de infinito ipſarum
<
lb
/>
ſuperficialium figurarum rectilinearum.</
s
>
</
p
>
</
div
>
</
div
>
</
div
>
</
div
>
</
text
>
</
echo
>