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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323
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EPISTOL AE.
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335
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0335
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0335
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.
<
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>r.V.</
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ad rectos cum
<
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>.H.I.</
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vſque ad circunferentiam, in qua accipiatur
<
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>.r.n.</
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æqua
<
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lis ei quæ eſt in parallelo, ducatur poſtea
<
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>.o.n.M.</
var
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& habe bimus triangulum
<
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>.o.r.n.</
var
>
ſi-
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milem
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type
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triangulo iam ſupradicto. </
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<
s
xml:id
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xml:space
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">Vnde angulus
<
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>.H.o.M.</
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ei æqualis erit,
<
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quem azimut facit cum meridiano, & angulus
<
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>.M.o.k.</
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>
ei ęqualis, quem azimut con-
<
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ſtituit cum verticali, ita quod ſi talis circulus
<
var
>.H.k.I.</
var
>
eſſet planum horologij orizon-
<
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talis, ſuppoſito
<
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>.o.</
var
>
pro pede gnomonis, ſecando poſtea
<
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>.o.M.</
var
>
in puncto
<
var
>.i.</
var
>
ita vt
<
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>.o.i.</
var
>
<
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/>
æqualis eſſet
<
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>.s.a.</
var
>
dato quod
<
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>.o.M.</
var
>
ducta ſit ad partem ſibi conuenientem, reſpectu
<
var
>.o.
<
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k.</
var
>
ipſa pro verticali ſuppoſita, quod tibirelinquo, cum hoc facillimum ſit, tunc pun
<
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/>
ctum
<
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>.i.</
var
>
eſſet quod quærebamus. </
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>
<
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xml:id
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xml:space
="
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">Quod verò de vno puncto dico, idem de omni-
<
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bus infero.</
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</
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<
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<
s
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xml:space
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">Vbi verò mihi ſignificas Chriſtophorum Clauium, me duobus in locis meæ gno
<
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monicæ redarguere, iam vidi. </
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>
<
s
xml:id
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xml:space
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preserve
">Circa primum locum igitur, qui eſt in pagin .161.
<
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ita inquit.</
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</
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<
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>
<
s
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xml:space
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">Non enim deſunt, qui vel omninò negent, inter quos eſt Ioannes Baptiſta Be-
<
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nedictus in ſua gnomonica cap .70. et .71. vbialia, & multo longiore ratione cona-
<
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/>
tur arcus ſignorum deſcribere, vel certe dubitent, hoc modo rectè poſſe deſcribi ar-
<
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cus ſignorum, cum rationem non videant, qua hæc noſtra deſcriptio quam quidem
<
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/>
omnes ſcriptores ſine vlla demonſtratione tradunt nitatur.</
s
>
</
quote
>
<
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<
s
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xml:space
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">Abſque dubio raptim tranſcurrit illa capita .70. 71. </
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>
<
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xml:space
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">Reuerendus Clauius alio quin
<
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non ſcripſiſſet, quòd ego alia & multo longiore ratione conatus ſim arcus ſignorum
<
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/>
deſcribere & c. præſertim cum eadem prorſus ratio, quæ ibi à me tradita eſt, illa ſit,
<
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/>
quam ip ſe ſuis ſcriptis inſeruit.</
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<
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<
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xml:space
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">Meus igitur modus in dictis capitibus traditus, minime diſcrepat ab eo, ſed ab il-
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lorum modo, quorum opinio eſt interualla
<
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>.e.h</
var
>
:
<
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>h.u</
var
>
: u. n; </
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<
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xml:space
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">n.m. et
<
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>.m.d.</
var
>
meæ figuræ in
<
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pagi .75. poſitæ, æqualia eſſe interuallis
<
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>.e.h</
var
>
:h.u:u.n:n.m. et
<
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>.m.d.</
var
>
præcedentis figuræ,
<
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qui etiam ſupponunt
<
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>.t.e.</
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>
meæ figuræ .75. eſſe directè coniuncta cum linea
<
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>.e.h.u.n.
<
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m.d.</
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>
& propterea verſus finem .73. pag. dixi.</
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<
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<
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xml:space
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">Aduertat autem quam diligentiſſime quiſque ne ſe decipi patiatur à ſubſcripta fi
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gura ſemicirculi
<
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>.Q.æ.m.</
var
>
cum reliquis lineis ductis, ex antiquorum more, & c.</
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>
</
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<
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<
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xml:space
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">Eo quod non defuerunt aliqui, ex vetuſtioribus (quorum ſcripta ad meas manus
<
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peruenerunt) qui ſumentes interualla
<
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>e.h</
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:h.u. & c. figuræ. pag .75. æqualia illis figu-
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ræ pag .74.
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lineam
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directè coniunctam eſſe cum
<
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& c. quod quidem
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maximi erroris cauſa erat, </
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">& propterea cap .71. verum modum oſtendi, ſeruando il
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lam eandem ſuppoſitionem, hoc eſt quod interſtitia
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:
<
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: & c. figurę pag .75. æqua
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lia ſint interſtitijs
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>
:
<
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>h.u.</
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>
& c. præcedentis figuræ, & ideò in dicto cap .71. dixi.</
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<
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">Suppoſito deinde
<
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lineam meridianam eſſe in plano orizontali, cęterę lineę
<
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horarię erunt prędictę.</
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</
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<
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<
s
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xml:space
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">Stantibus igitur his ſuppoſitis, vt habeantur omnia ſcientificè, volui, vt intellige-
<
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retur pyra mis qua drilatera, eo modo quo dixi, cap .71. vbi clarè patet eandem pyra
<
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midem eſſe, quam Pater Clauius (tacitè) poſuit in figura horologij, vt ipſe docuit
<
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propoſitione ſecunda, lib. ſecundi, cuius baſis eſt triangulum
<
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>.H.I.F.</
var
>
ſuæ figurę (exem
<
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pli gratia pro quinta hora poſt meridiana) Alterum verò triangulum à me cogita-
<
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tum, terminatum ab
<
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>.t.e</
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>
:
<
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>e.d</
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>
: et. ab
<
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>.t.d.</
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>
eleuata in mea figura, eſt in ſua
<
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<
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>.D.
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I.F.</
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>
& propterea dixi.</
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</
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<
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<
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xml:space
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et
<
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>.e.d.</
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<
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">vtræq;</
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in plano horologii non ſunt, quamuis in plano æquatoris
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tres ſint, & c.</
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</
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<
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<
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xml:space
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">Angulus verò
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quem dico rectum eſſe, in ſua figura eſt angulus
<
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>.D.I.F.</
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>
& mea </
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