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
|<
<
(319)
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-div622
"
type
="
section
"
level
="
3
"
n
="
25
">
<
div
xml:id
="
echoid-div622
"
type
="
letter
"
level
="
4
"
n
="
1
">
<
p
>
<
s
xml:id
="
echoid-s3892
"
xml:space
="
preserve
">
<
pb
o
="
319
"
rhead
="
EPISTOL AE.
"
n
="
331
"
file
="
0331
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0331
"/>
liquum ſecantem æquatorem, omnes caduntin gyro elliptico, oxygonio, ſeu de-
<
lb
/>
fectionali, & non circulari. </
s
>
<
s
xml:id
="
echoid-s3893
"
xml:space
="
preserve
">Vnde per ſupradicta tria puncta
<
var
>.n.ω.x.</
var
>
oporteret tranſi
<
lb
/>
re talem circunferentiam, & non
<
reg
norm
="
circularem
"
type
="
context
">circularẽ</
reg
>
, quæ circunferentia eſſet vnius ellipſis,
<
lb
/>
cuius minor axis in diametro
<
var
>.b.q.</
var
>
eſſet .ab
<
var
>.ω.</
var
>
vſque ad
<
var
>.i.</
var
>
terminum ſini
<
var
>h.i.</
var
>
arcus
<
var
>.h.b.</
var
>
<
lb
/>
in analemate, maior verò axis eſſet magnitudinis
<
var
>.f.h.</
var
>
diametri paralleli, quæ
<
reg
norm
="
tranſiſ- ſet
"
type
="
context
">trãſiſ-
<
lb
/>
ſet</
reg
>
per punctum
<
var
>.c.</
var
>
medium inter
<
var
>.ω.</
var
>
et
<
var
>.i.</
var
>
quę quidem circunfere ntia tota eſſet intra cir
<
lb
/>
culum
<
var
>.q.n.b.x.</
var
>
<
reg
norm
="
con
"
type
="
context
">cõ</
reg
>
<
reg
norm
="
tiguaque
"
type
="
simple
">tiguaq́;</
reg
>
gyro
<
var
>.q.n.b.x.</
var
>
in punctis
<
var
>.n.x</
var
>
.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3894
"
xml:space
="
preserve
">Si ergò circunferentia
<
var
>.n.ω.x.</
var
>
eſſet elliptica tunc punctum
<
var
>.u.</
var
>
in orizonte illud eſſet
<
lb
/>
vbi caderet ſinus altitudinis horę, et
<
var
>.t.u.</
var
>
æqualis eſſet
<
var
>.r.z.</
var
>
communi ſectioni paralle
<
lb
/>
li cum almicantarat ex .34. primi Euclid. et
<
var
>.u.g.</
var
>
æqualis eſſet
<
var
>.o.y.</
var
>
communi ſectioni
<
lb
/>
almicantarat cum meridiano, vel cum azimut illius horæ ex .4. primi, cum
<
var
>.g.t.</
var
>
æqua
<
lb
/>
lis ſit ipſi
<
var
>.o.r.</
var
>
et
<
var
>.t.u.</
var
>
ipſi
<
var
>.r.z.</
var
>
& angu
<
lb
/>
<
figure
xlink:label
="
fig-0331-01
"
xlink:href
="
fig-0331-01a
"
number
="
355
">
<
image
file
="
0331-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0331-01
"/>
</
figure
>
lus. t trianguli
<
var
>.g.t.u.</
var
>
rectus, quem-
<
lb
/>
admodum
<
var
>.r.</
var
>
qui compræhenditur
<
lb
/>
ab
<
var
>.z.r.</
var
>
et
<
var
>.r.o.</
var
>
vnde anguli
<
var
>.K.g.m.</
var
>
<
lb
/>
et
<
var
>.K.g.b.</
var
>
rectè ſe haberent, diſtan-
<
lb
/>
tia verò inter
<
var
>.K.</
var
>
et
<
var
>.g.</
var
>
<
reg
norm
="
iam
"
type
="
context
">iã</
reg
>
rectè ſum-
<
lb
/>
pta fuit.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3895
"
xml:space
="
preserve
">Sed quia punctum
<
var
>.u.</
var
>
vt
<
reg
norm
="
plurimum
"
type
="
context
">plurimũ</
reg
>
<
lb
/>
(in gyro circulari ſumptum) extra
<
lb
/>
puncta interſectionum ipſius circu
<
lb
/>
laris gyri cum elliptico reperìtur,
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s3896
"
xml:space
="
preserve
">propterea efficit angulos
<
var
>.K.g.m.</
var
>
<
lb
/>
et
<
var
>.K.g.b.</
var
>
falſos, & non æquales il-
<
lb
/>
lis, qui fiunt ab azimut horæ cum
<
lb
/>
verticali, & cum meridiano, quæ
<
lb
/>
omnia ex cap .52. meæ gnomonicę
<
lb
/>
facilè videre potes.</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3897
"
xml:space
="
preserve
">Nectacere volo quod punctum
<
lb
/>
u. verum, hoc eſt ellipticum, inue-
<
lb
/>
niri poſſet ea via quam ſcripſi in
<
lb
/>
eodem .52. cap. qua mediante do-
<
lb
/>
cui demum inuenire punctum
<
var
>.π.</
var
>
<
lb
/>
orizontis, quamuis in præſenti ca
<
lb
/>
ſu
<
var
>.ω.λ.</
var
>
perpendicularis eſſet ſupra
<
lb
/>
minorem axem ipſius ellipſis,
<
reg
norm
="
quan- uis
"
type
="
context
">quã-
<
lb
/>
uis</
reg
>
ſupra maiorem axem, quod ta-
<
lb
/>
men minimè mutat ordinem, imò
<
lb
/>
rationes eędem ſunt, tam in vna,
<
lb
/>
quam in alia operatione, ſed vt il-
<
lb
/>
licò
<
reg
norm
="
idipsum
"
type
="
context
">idipsũ</
reg
>
habeas, fac vt
<
var
>.t.u.</
var
>
æqua
<
lb
/>
lis. ſit
<
var
>.r.z</
var
>
. </
s
>
<
s
xml:id
="
echoid-s3898
"
xml:space
="
preserve
">& tunc punctum
<
var
>.K.</
var
>
erit
<
lb
/>
<
reg
norm
="
quæſitum
"
type
="
context
">quæſitũ</
reg
>
, quod ego in .52. cap. meę
<
lb
/>
gnomonicę, ijs verbis ſignificaui.</
s
>
</
p
>
<
quote
>
<
s
xml:id
="
echoid-s3899
"
xml:space
="
preserve
">
<
reg
norm
="
Itaque
"
type
="
simple
">Itaq;</
reg
>
mediis binis triangulis ijs,
<
lb
/>
<
reg
norm
="
medioque
"
type
="
simple
">medioq́;</
reg
>
azimut Solis pariter ho-
<
lb
/>
rologia fabricari poterunt.</
s
>
</
quote
>
</
div
>
</
div
>
</
div
>
</
div
>
</
text
>
</
echo
>