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. BABPT. BENED.
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228
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file
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0228
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0228
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<
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<
s
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xml:space
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">Superius poſitæ meæ demonſtrationis ope, deuenimus in cognitionem magnitu
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dinis arcus
<
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>.n.q.</
var
>
cognoſcimus etiam angulum
<
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>.n.q.t.</
var
>
vnde nobis
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type
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>
eſſet quo
<
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vento oporteret iter facere. cum à puncto
<
var
>.q.</
var
>
nauis aliqua diſceſſura eſſet, in eodem
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/>
azimut propoſito. </
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>
<
s
xml:id
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echoid-s2701
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xml:space
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preserve
">Idem etiam dico de puncto
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>.u.</
var
>
cum cogniti eſſent arcus
<
var
>.n.u.</
var
>
et
<
var
>.n.
<
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/>
r.</
var
>
vt ſupponitur, ſimul cum angulo
<
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>.r.n.u.</
var
>
vnde cognitus eſſet nobis angulus
<
var
>.n.u.r.</
var
>
ex
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11. primi lib. Copernici, ex quo ventus nobis cognitus foret.</
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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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">Modus autem quem idem Medina cap .9. lib. tertij ad cognoſcendam diſtantiam
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vnius meridiani ab alio præſcribit, in genere eſt falſus, etiam ſi is ab antiquis eum de
<
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/>
ſumat, qui, hic non viderunt quam magna inter meridianos differentia ſit interuallo
<
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/>
rum eorum quæ ſunt vicina polis & eorum quæ ſunt circa æquatorem.</
s
>
</
p
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<
p
>
<
s
xml:id
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xml:space
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">Falſus eſt etiam modus ab eo traditus ad cognoſcendos gradus longitudinis per
<
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medium itineris cogniti in quouis parallelo extra æquatorem facti, & hoc cap .14. li
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bri tertij eiuſdem, & primo cap. lib. 4.
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, vbi .17. leucas cum dimidia cuilibet
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gradui tam paralleli quàm meridiani aſſignat.</
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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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">Falſum eſt etiam quod ab eo aſſeritur, Solem, cum reperiretur in æquatore, circa
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eos qui ſub ipſo æquatore habitant, vnius diei
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ſpatio per omnes uentos cir-
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cunuolui. </
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<
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xml:id
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xml:space
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">quia illis æquator idem eſt cum verticali, qui duos tantum rhumbos pro-
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ducit, ideſt orientis, & occidentis: </
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<
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xml:space
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">hic verò error, in ſecundo cap. lib. 6. habetur.</
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<
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<
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xml:space
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">Falſum eſt etiam quod profert Solem ijs qui habitant ſphæram obliquam, qua-
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libet hora tertia, regulariter ab vno rhumbo ad alium ex præcipuis ideſt ab vno azi
<
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mut ad alium progredi, quemadmodum eadem cap .2. lib. 6. et .7. cap. ſeptimi libr.
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ſcribit. </
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>
<
s
xml:id
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xml:space
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">Huius autem rei falſitas ita facile depræhendetur, ponamus hemiſphęrium
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orientale, verbi gratia, cuius meridianus ſit
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var
>
æquator
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norm
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type
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<
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>.e.m.</
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vnus verò paral
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lelorum ſeptentrionalium ſit
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>.c.a.</
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>
in quo Solem exiſtere ponamus, orizon autem ſit
<
var
>.
<
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b.m.</
var
>
zenit vero
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>.z.</
var
>
polus arcticus
<
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>.p.</
var
>
ſit poſtea azimut
<
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>.z.q.</
var
>
à meridiano diſtans per gra
<
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/>
dus .45. qui quidem azimut in hoc hemiſphęrio erit rhumbus illius venti, quem uul-
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go Itali Sirocum dicunt, et
<
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var
>
ſit azimut verticalis qui in hoc hemiſphærio erit
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type
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">rõ</
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>
<
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/>
bus venti orientalis, ita
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norm
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type
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">ꝙ</
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ſecundum Medinam à rhumbo
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>.z.m.</
var
>
ad
<
var
>.z.q</
var
>
. </
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>
<
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xml:id
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xml:space
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">Solabſoluet
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ſpatium
<
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norm
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type
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">tẽporis</
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>
trium horarum, & aliud
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æquale temporis ſpatium abſoluet à
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bo
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ad
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>.z.b.</
var
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ex ipſo Medina, vnde ar-
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cus
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>.a.o.</
var
>
paralleli eſſet graduum .45. &
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item arcus
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>.o.c</
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>
.</
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</
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<
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xml:space
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">Ponamus
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Solem reperiri in ęqua
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tore, vbi per ipſum Medinam arcus
<
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>.u.m.</
var
>
<
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ſimiliter eſſet graduum .45. & ſic
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>.u.e</
var
>
: pro
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tracto ergo arcu
<
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>.p.o.f.</
var
>
palam erit ar-
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cum
<
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>.f.e.</
var
>
fore graduum .45. ſed cum
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arcus
<
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>.e.u.</
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>
ſit graduum .45. ex ſuppoſito
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ipſius Medinæ, ſequeretur arcum
<
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>.e.f.</
var
>
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æqualem eſſe arcui
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>.e.u.</
var
>
pars igitur æqua
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lis erit ſuo toto.</
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</
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<
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<
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xml:space
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">Id etiam quod Petrus Nonius pagina
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124. et .125. lib. de arte nauigandi con-
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tra nautas de diſtantijs Solis à meridiano ſcribit, hanc opinionem Petrià Medina &
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corum qui idem ei perſuaſerunt falſam eſſe demonſtrat.</
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