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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151 - 163
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151 - 163
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IO. BAPT. BENED.
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culares lineæ ex aurichalco applicentur inuicem coniuncti per medium ad angulos
<
lb
/>
rectos, quorum prior
<
var
>.f.e.g.</
var
>
in ſe globi polos mediantibus extremitatibus axis mun-
<
lb
/>
di contineat, qui quidem poli à punctis ſuarum interſectionum per
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ex æquo
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lb
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in punctis
<
var
>.f.</
var
>
et
<
var
>.g.</
var
>
ita diſtent, vt globus circa eoſdem, in ſitu longitudinis mundi vol-
<
lb
/>
ui poſſit. </
s
>
<
s
xml:id
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xml:space
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">Huiuſmodi autem circulus, æquatoris deferens appelletur.</
s
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</
p
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<
p
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<
s
xml:id
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echoid-s2720
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xml:space
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">Secundus autem circulus ſit
<
var
>.h.e.K.</
var
>
cum primo ad angulos rectos in puncto
<
var
>.e.</
var
>
&
<
lb
/>
in ſuo oppoſito connexus, & is appellabitur æquator, & poli
<
var
>.f.g.</
var
>
primi poli dicentur.</
s
>
</
p
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<
p
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<
s
xml:id
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xml:space
="
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">Circa huiuſmodi duos circulos, alios
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reg
norm
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type
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">etiã</
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>
duos exiſtere
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norm
="
vellem
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type
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context
">vellẽ</
reg
>
ſimul
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reg
norm
="
coniunctos
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type
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context context
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medio
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ad angulos rectos. </
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<
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xml:space
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type
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interſectionis punctis ſint duo poli, qui hos duos
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lb
/>
circulos cum ſecundo priorum ideſt cum æquatore in duobus punctis inuicem op-
<
lb
/>
poſitis connectant; </
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>
<
s
xml:id
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xml:space
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">quæ æquatoris puncta à punctis interſectionis eiuſdem cum ſuo
<
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/>
deferente, ratione vna quarta diſtent, quorum duorum circulorum primus ſit
<
var
>.n.i.
<
lb
/>
m.</
var
>
quem deferentem azimut appellabimus; </
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>
<
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xml:id
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xml:space
="
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">ſecundus
<
var
>.r.n.s.m.</
var
>
azimut locorum no
<
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minabimus. </
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>
<
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xml:id
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xml:space
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">eorundem interſectionis rectæ, puncta ſint
<
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var
>
et
<
var
>.m.</
var
>
à quibus duo poli ex
<
lb
/>
aurichalco confecti ſimiles primis
<
var
>.n.h.</
var
>
et
<
var
>.m.K.</
var
>
vſque ad puncta
<
var
>.h.</
var
>
et
<
var
>.K.</
var
>
æquatoris
<
lb
/>
perueniant, qui ſpisſitudinem æquatoris diſtantem à puncto
<
var
>.e.</
var
>
vna quarta
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type
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>
,
<
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ita vt æquator circum circa
<
var
>.n.h.</
var
>
et
<
var
>.m.K.</
var
>
in ſitu latitudinis mundi verti queat. </
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>
<
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xml:id
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xml:space
="
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">Et
<
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/>
hos, ſecundos polos nominabimus.</
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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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">Alius deinde circulus
<
var
>.q.i.p.</
var
>
duos poſteriores circulos ambiat, cum deferente ta-
<
lb
/>
men azimut mediantibus duobus polis in puncto
<
var
>.i.</
var
>
& in ſuo oppoſito exęquo diſtan
<
lb
/>
tibus à ſecundis polis vnius quartæ ſpatio iungatur. </
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>
<
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xml:id
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xml:space
="
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">Ita vt dictum deferens azimut
<
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circa hos tertios polos volui poſſit, atque hunc circulum
<
var
>.q.i.p.</
var
>
orizontem vniuerſa
<
lb
/>
lem vocabimus. </
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<
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xml:space
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">Hic vero orizon ſuper quatuor quartas circuli, aut ſuper quatuor
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paruis columnis, ut fieri ſolet innixis ſuæ baſi, ita ponatur, vt moueri non poſſit.</
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>
</
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<
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<
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xml:space
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">Primus autem circulus
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var
>.f.e.g.</
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>
deferens æquatoris in .4. partes æquales diuidatur,
<
lb
/>
quarum quælibet .90. gradibus conſtet, incipiendo ab interſectionibus
<
var
>.e.</
var
>
& eius op
<
lb
/>
poſito æquatoris, & numeri in polis
<
var
>.f.</
var
>
et
<
var
>.g.</
var
>
globi finem ſortiantur. </
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<
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xml:space
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æquator
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var
>
in .360. partes incipientes à puncto
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var
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var
>
verſus
<
var
>.K.</
var
>
deferens autem azi
<
lb
/>
mut
<
var
>.n.i.m.</
var
>
ab omni diuiſione liber maneat, ſed azimut
<
var
>.n.s.m.r.</
var
>
in .360. gradus inci
<
lb
/>
piendo à puncto
<
var
>.n.</
var
>
verſus
<
var
>.r.</
var
>
diuidatur.</
s
>
</
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<
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>
<
s
xml:id
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xml:space
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">Orizon autem
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>
diuidatur in quartas, quarum quælibet ſit nonaginta
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>
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lb
/>
incipiendo à puncto
<
var
>.i.</
var
>
& eius oppoſito ideſt à polis poſtremis & terminando in pun-
<
lb
/>
ctis
<
var
>.q.</
var
>
et
<
var
>.p.</
var
>
in medio ipſorum polorum, & quarta
<
var
>.i.p.</
var
>
orientalis ſeptentrionalis, et
<
var
>.i.
<
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/>
q.</
var
>
orientalis meridiana appellentur. </
s
>
<
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xml:id
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xml:space
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preserve
">& ſic ordine ſeruato occidentales.</
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<
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<
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xml:space
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">Præterea pręparata ſit quædam quarta, ex aurichalco, circuli æqualis ipſi orizon-
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/>
ti, & in .90. gradus diſtincta quæ cum quauis ſuarum extremitatum ipſi zenit, in azi-
<
lb
/>
mut applicari poſſit, quemadmodum circa globos cęleſtes fieri ſolet; </
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>
<
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xml:space
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">quę quidem ad
<
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cognoſcendam altitudinem poli ipſius globi ab orizonte nobis inſeruiet.</
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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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">Atque hac ratione hanc noſtram machinam perfectè abſoluemus
<
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type
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">quã</
reg
>
appellan-
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lb
/>
dam eſſe Armillam nauticam ſentio. </
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>
<
s
xml:id
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xml:space
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">Hic autem illud non omittam, concauum
<
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duorum priorum circulorum à ſuperficie globi non nimis diſtare debere & con-
<
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/>
cauum aliorum à ſuperficie conuexa priorum longe poſitos eſſe
<
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type
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">nõ</
reg
>
debere, & con
<
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/>
cauam orizontis à conuexa ſecundorum procul abeſſe non debere.</
s
>
</
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>
<
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>
<
s
xml:id
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xml:space
="
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">Neque illud etiam prætermittendum eſt, opere pretium fore ſi in interſectione
<
lb
/>
e. priorum, erit foramen elicum, vt clauo elico ex aurichalco confecto, poſſimus
<
lb
/>
ſiſtere globum, quando oportuerit, ne amplius circa primos ſuos polos
<
var
>.f.g.</
var
>
circun-
<
lb
/>
uoluatur, cum
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>
fuerit. </
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>
<
s
xml:id
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xml:space
="
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">Inde etiam laudo vt in azimut
<
var
>.r.n.s.m.</
var
>
è regione deferen
<
lb
/>
tis æquatoris, ideſt
<
var
>.f.e.g.</
var
>
aliud quoddam foramen huiuſmodi ſit poſitum, in quo </
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>
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