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]
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IO. BAPT. BENED.
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348
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file
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0348
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0348
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<
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<
s
xml:id
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xml:space
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preserve
">Animal igitur, ſecundum diſtantiam obiecti, oculum accommodat ad recipien-
<
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dum quam exactiſſimè ſpeciem ipſius obiecti, & hoc voluendo ambos oculos, vnum
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verſus alium, ita quod interſectio axium ſit in ſitu ſeu loco dicti obiecti, nam tunc vi
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dent ambo vel aliquis eorum ſolus, in tali diſtantia exactè obiectum videbit.</
s
>
</
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<
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<
s
xml:id
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xml:space
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preserve
">Vnde ſequitur obiectum viſibile, compræhenſibile non eſſe ab vno tantummodo
<
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oculo in quolibet ſitu axis ipſius oculi, ſed in eo, vbi alius axis interſecatur à dicto.
<
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/>
</
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<
s
xml:id
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xml:space
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preserve
">Quæ quidem interſectio poteſt fieri propinqua, vel remota à viſu, ad certos tamen
<
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terminos vſque.</
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</
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<
s
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xml:space
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preserve
">De huiuſmodi axium viſualium interſectione ſcribit Alhazem in .2. et .15. propo
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ſitione tertij lib. Vitellio verò in .32. et .45. eiuſdem.</
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</
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<
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<
s
xml:id
="
echoid-s4083
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xml:space
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preserve
">Quod igitur dico, verum eſt, ideſt, quod ſi vno tantummodo oculo aſpiciemus
<
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obiectum aliquod, ipſum nunquam perfectè proſpicietur, niſi cum oculus ita ſitus
<
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fuerit, vt eius axis cum axe alterius in loco obiecti ſe inuicem ſecent, quamuis alter
<
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oculus nihil videat,
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<
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autem
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type
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">aũt</
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duobus oculis in tali ſitu
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conſtitutis
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type
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">cõſtitutis</
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<
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norm
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obiectum
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type
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context
">obiectũ</
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videmus, vnum
<
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tantummodo nobis cernere videbimur, & ſi extra talem punctum interſectionis ip-
<
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ſum obiectum poſitum fuerit, tunc duo talia, obiecta nobis apparebunt, ſed huiuſ
<
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modi rei cauſam alias tibi manifeſtabo.</
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</
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<
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<
s
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xml:space
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">His igitur cognitis, ponamus aliquam
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<
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xlink:label
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fig-0348-01
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xlink:href
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fig-0348-01a
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number
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375
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file
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0348-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0348-01
"/>
</
figure
>
ſpeculi ſuperficiem eſſe
<
var
>.g.h.</
var
>
in figura
<
var
>.B.</
var
>
<
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obiectum autem viſibile
<
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>.b.</
var
>
oculos vero
<
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>.a.</
var
>
<
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et
<
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>.u.</
var
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punctum autem
<
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>.n.</
var
>
in ſuperficie ſpecu
<
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/>
li, à quo imago ipſius
<
var
>.b.</
var
>
reflectit ad
<
var
>.a.</
var
>
&
<
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/>
punctum
<
var
>.t.</
var
>
à quo reflectitur ad
<
var
>.u.</
var
>
et
<
var
>.c.e.</
var
>
<
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/>
ſit
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reg
norm
="
communis
"
type
="
context
">cõmunis</
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>
ſectio ſuperficiei reflexionis
<
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radiorum
<
var
>.b.n.a.</
var
>
et
<
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>.c.f.</
var
>
ſit communis ſectio
<
lb
/>
ſuperficiei reflexionis radiorum
<
var
>.b.t.u.</
var
>
qua
<
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/>
rum
<
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norm
="
vnaquæque
"
type
="
simple
">vnaquæq;</
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>
ſuperficies reflexionis, ere-
<
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/>
cta eſt ad ſuperficiem ſpeculi
<
var
>.g.h.</
var
>
vt ſupra
<
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diximus. </
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>
<
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xml:space
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">Nunc ex .19. vndecimi Eucl. ſequitur communem ſectionem harum dua-
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rum ſuperficierum. (b.c.d. ſcilicet) ad rectos etiam eſſe ſupra ſuperficiem ſpeculi
<
var
>.g.
<
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h.</
var
>
cum qua
<
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>.b.c.</
var
>
quælibet linearum
<
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>.a.n.</
var
>
vel
<
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>.u.t.</
var
>
reflexarum ( productę cum fuerint )
<
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/>
ſeinuicem interſecabunt eo quod duo anguli
<
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>.d.c.n.</
var
>
et
<
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>.d.n.c.</
var
>
ſimul collecti minores
<
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/>
ſunt duobus rectis, & ita
<
var
>.d.c.t.</
var
>
cum
<
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>.d.t.c.</
var
>
cum anguli
<
var
>.a.n.e.</
var
>
et
<
var
>.u.t.f.</
var
>
reflexi, ipſis con-
<
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/>
trapoſiti, æquales ſint angulis
<
var
>.b.n.c.</
var
>
et
<
var
>.b.t.c.</
var
>
incidentiæ, quorum
<
reg
norm
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vnuſquiſque
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type
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ex .32.
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primi, minor eſt recto.</
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>
</
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<
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<
s
xml:id
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xml:space
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preserve
">Dico etiam quod in eodem puncto huiuſmodi catheti
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>.b.c.d.</
var
>
in quo interſecabi-
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tur à linea
<
var
>.a.n.</
var
>
in eodem ſecabitur à linea
<
var
>.u.t.</
var
>
& quod punctum dicti concurſus, tan-
<
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/>
tum depreſſum erit ſub ſuperficie ſpeculi
<
var
>.g.h.</
var
>
quantum
<
var
>.b.</
var
>
ſupra ipſam reperietur.
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</
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>
<
s
xml:id
="
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xml:space
="
preserve
">Nam anguli
<
var
>.b.n.c.</
var
>
et
<
var
>.d.n.c.</
var
>
ſunt inuicem æquales,
<
reg
norm
="
angulique
"
type
="
simple
">anguliq́;</
reg
>
<
var
>.b.c.n.</
var
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et
<
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>.d.c.n.</
var
>
recti
<
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>.c.n.</
var
>
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verò communis ambobus triangulis
<
var
>.b.c.n.</
var
>
et
<
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>.d.c.n.</
var
>
vnde ex .26. primi Eucli. latus
<
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>.d.
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c.</
var
>
commune, vt trianguli
<
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>.d.c.n.</
var
>
æquale erit lateri communi
<
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>.b.c.</
var
>
vt trianguli
<
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>.b.c.n.</
var
>
<
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Idem etiam dico de latere
<
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>.d.c.</
var
>
vt ipſius trianguli
<
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>.d.c.t.</
var
>
quod æquatur lateri
<
var
>.b.c.</
var
>
vt
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trianguli
<
var
>.b.c.t</
var
>
. </
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>
<
s
xml:id
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xml:space
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">Vnde cum
<
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>.b.c.</
var
>
vnum, & idem ſit: </
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>
<
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xml:space
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">d.c. igitur etiam erit, & ipſum
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& idem, quod erit propoſitum.</
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</
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<
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<
s
xml:id
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xml:space
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preserve
">Nunc autem cum hi duo radij ſeinuicem ſecent in puncto
<
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>.d.</
var
>
ergo in ipſo puncto
<
var
>.
<
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d.</
var
>
videbimur nobis videre
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obiecti .b:
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ope
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duorum
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<
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iſtorum
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type
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<
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norm
="
radiorum
"
type
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context
">radiorũ</
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>
<
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>.n.a.</
var
>
et
<
var
>.t.
<
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/>
u.</
var
>
ita inuicem
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="
ſitorum
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">ſitorũ</
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>
, videamur nobis
<
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norm
="
imaginem
"
type
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context
">imaginẽ</
reg
>
proſpicere. </
s
>
<
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xml:id
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xml:space
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