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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& imaginemur
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in ſuperficie
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vnde trianguli
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et
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erunt perpen
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diculares orizonti ex
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ref
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et
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et. α. e. communes ſectiones dictorum
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triangulorum cum plano trianguli
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ipſi quoque plano ex .19. eiuſdem lib. erunt
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perpendiculares. </
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ſuperficialis in punctis
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>.ω.</
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et .α. eadem ra-
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tione; </
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<
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xml:space
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et
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>
à quibus punctis
<
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>.ω.</
var
>
et. α. ſuperficia
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libus ductæ ſint duæ
<
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>ω.m.</
var
>
et .α.e. perpendiculares vſque ad latus
<
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>.i.q.</
var
>
in punctis
<
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>.m.</
var
>
et
<
var
>.
<
lb
/>
e.</
var
>
quę ſitum habebunt in
<
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>.i.q.</
var
>
ſuperficiali pręcisè, vt in corporea, ex .26. primi, du-
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/>
cendo deinde in ſuperficiali duas
<
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>.m.f.</
var
>
et
<
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>.e.Z.</
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>
eæ æquales erunt corporeis ex .4. pri-
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mi, & ſic anguli
<
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>.i.e.z.</
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>
et
<
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>.i.m.f.</
var
>
& eę duę lineę
<
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>.e.z.</
var
>
et
<
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>.m.f.</
var
>
fectę erunt à linea
<
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>.i.d.</
var
>
in duo
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caption
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bus punctis
<
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>.r.</
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>
et
<
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>.c.</
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>
vnde
<
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>.e.r.</
var
>
et
<
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>.m.c.</
var
>
æquales
<
lb
/>
erunt corporeis ex .26. primi, ſed ita quo-
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lb
/>
que ſe habent duę
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var
>
et
<
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>.r.c.</
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>
ſi verum eſt
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dif
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ferentię rerum æqualium ſint adinuicem etiam
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æquales. </
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xml:space
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ram quadrilateram
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>
ſuperficialem om
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ninò ſinlilem, & ęqualem corporeæ. </
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modus prolixus eſt, & arduus, quam ob cau-
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ſam neque ego vnquam
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viui accommo-
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darem, neque alijs, vt eodem vterentur ſua-
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derem.</
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<
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xml:space
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head
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<
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<
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igitur ſciendum, quòd qui ſciuerit vnum ſolum punctum locare in perſpe
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ctiua, eo modo quem nunc proponam, facilè quoque ſciet ſupra quoduis
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type
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<
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(quod tamen ſit perpendiculare orizonti) quamlibet rem locare. </
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<
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xml:space
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imaginemur hic ſubſcriptas duas figuras
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<
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type
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, & E. ſuperficialem, & in qua-
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drilatero rectangulo orizontali
<
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>.a.u.q.d.</
var
>
imaginemur eſſe punctum
<
var
>.b.</
var
>
quodlibet col-
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lb
/>
locandum in aliquo plano perpendiculari orizonti locato, quemadmodum ſuppo-
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/>
nebatur in figura
<
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>.A.</
var
>
corporea. </
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>
<
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xml:space
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">Imaginemur ergo in ipſa figura
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>.E.</
var
>
corporea radi-
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/>
um viſualem
<
var
>.o.b.</
var
>
qui ſectus ſit à noſtro plano in
<
var
>.k.</
var
>
quod quidem
<
var
>.k.</
var
>
quærendum eſt
<
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/>
in triangulo
<
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>.i.q.d.</
var
>
ipſius plani. </
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>
<
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xml:space
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">Volo ob hanc igitur rem, vt à puncto
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>.b.</
var
>
in figura
<
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>.E.</
var
>
<
lb
/>
ſuperficiali ducatur
<
var
>.b.c.</
var
>
ad rectos
<
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type
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>
<
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>.q.d.</
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>
& à puncto
<
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>.c.</
var
>
ad
<
var
>.i.</
var
>
ducatur linea
<
var
>.c.i.</
var
>
et
<
var
>.b.m.</
var
>
<
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parallela ipſi
<
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>.q.d.</
var
>
quę ab ipſa
<
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>.x.l.</
var
>
in puncto
<
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>.m.</
var
>
erit diuiſa, & hęc
<
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>.x.m.</
var
>
è directo con-
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/>
iuncta cum
<
var
>.p.x.</
var
>
ducatur
<
var
>.o.m.</
var
>
quæ ab
<
var
>.i.x.</
var
>
ſecta erit in puncto
<
var
>.f.</
var
>
à quo ducendo dein-
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lb
/>
de
<
var
>.f.g.h.</
var
>
parallela
<
var
>.q.d.</
var
>
ab
<
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>.i.c.</
var
>
in puncto
<
var
>.K.</
var
>
erit diuiſa. </
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inquirendum propoſueramus.</
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