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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EPISTOL AE.
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383
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file
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0383
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0383
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xml:space
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">ALIA DEMONSTRATIO NONÆ, ET DECIMÆ
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ſecundi Euclidis.</
head
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<
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nona ac decima ſecundi Euclid. aliter à Comandino & Mau-
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rolico demonſtratæ fuerint, nihilominus mihi etiam viſum eſt non nihil
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meo moræ in eas tibi ſcribere, vt ſenſibiliter quoque cognoſcas il-
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las veras eſſe.</
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<
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<
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xml:space
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">Eſto linc
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unsure
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a.a.b. pro nona propoſitione, diuiſa per æqualia in
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>
per inæqualia verò
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in
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>.d.</
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quadratum autem
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>.a.d.</
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ſit
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>.d.e.</
var
>
quadratum verò
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>.d.b.</
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ſit
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>.d.i.</
var
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quadratum
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>.a.c.</
var
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ſit
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>.c.f.</
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& quadratum
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>.c.d.</
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ſit
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>.c.K.</
var
>
clarum enim erit
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>.K.h.</
var
>
æqualem exiſtere ipſi
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>.a.c.</
var
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ſeccetur igitur
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in
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var
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ita vt
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var
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ęqualis exiſtat ipſi
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vnde
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æqualls erit
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<
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>c.d.</
var
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perficiatur etiam quadratum
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>.h.n.</
var
>
vnde in totali quadrato
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var
>.a.h.</
var
>
habe bis
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reg
norm
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duplum
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type
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quadrati partis
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>.c.d.</
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nempe
<
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>.c.K.</
var
>
et
<
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>.f.g.</
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& quadratum
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>.a.u.</
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cum gnomone
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>.u.g.h.k.</
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>
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cui deficit quadratum æquale
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>.d.i.</
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>
quadrato, vt ſint etiam duo quadrata partis
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>.a.c</
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>
.</
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<
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xml:space
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autem
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propoſitione,
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norm
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quadratum
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type
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">quadratũ</
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totalis lineæ
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ſit
<
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>.d.e.</
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& lineæ
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ſit
<
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et
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<
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>c.d.</
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ſit
<
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et
<
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>.a.c.</
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ſit
<
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et
<
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>.f.e.</
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ſit
<
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>.e.u.</
var
>
vnde
<
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>.n.u.</
var
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æquale erit quadrato
<
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>.b.i.</
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>
vnde in qua
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drato totali
<
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>.a.h.</
var
>
videbis duo quadrata æqualia
<
var
>.f.c.</
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>
et
<
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>.g.k.</
var
>
partis
<
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>.a.c.</
var
>
& quadratum
<
var
>.c.
<
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/>
K.</
var
>
cum gnomone
<
var
>.n.f.e.g.</
var
>
cui addito quadrato
<
var
>.b.i.</
var
>
habebis duplum quadrati partis
<
var
>.
<
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c.d</
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>
.</
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xlink:href
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<
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xml:space
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">DE STELLA CASSIOPEIÆ.</
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<
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style
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">Annibali Raymundo Aſtrologo Peritißimo.</
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<
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style
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emph
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tua doctiſſima ſcripta perlegi, conſideraui, quod ſi à mul-
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titudine exhalationum in regione elementari acciderit anno .1572. &
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1573. vt totos ſex menſes ab omnibus per vniuerſum terrarum orbem
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viſa fuerit ſtella illa, quæ eſt in angulo ſeptentrionali quadrilateri Caſſio </
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