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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232
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<
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xml:space
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globi circa primos polos
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& æqua
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toris circa ſecundos
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hoc eſt per longitudinem, & latitudinem, hi duo loci in
<
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globo propoſiti ſub azimut
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>
ſecundorum circulorum
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ſortiantur, qui azi-
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mut orizontem in punctis
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et
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ſemper ad angulos rectos diſpeſcit
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globum
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ita quieſcere vt circa polos
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non voluatur, & æquatorem etiam ſic ſirmare, vt cir-
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ca ſecundos polos
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non vertatur faciamus.</
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<
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xml:space
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">Quod cum factum fuerit, ſecundorum circulorum primus, qui eſt
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deferens
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azimut, circa tertios polos
<
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>.i.</
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>
& eius oppoſitum, eo uſque voluatur quouſque prior
<
lb
/>
globi locus, ideſt is a quo iter eſt incohandum per .90. gradus azimut diſtet ab ori-
<
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/>
zonte, ideſt ſub zenit orizontis
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>
ſit poſitus, quemadmodum, exempli gratia, ſi
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punctum
<
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var
>
dicti primi loci globi rationem indueret, & borealius eſſet, mediante
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circunuolutione circuli
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>
circa dictos tertios polos æqualiter diſtans ab
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>
et
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>
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ideſt per .90. gradus poneretur ſub
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.</
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<
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xml:space
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">Conſideretur deinde vbi æquator
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ſecundus circulus duorum primorum,
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ab orizonte
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>.q.i.p.</
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>
ſecabitur, exempli gratia, in puncto
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>.c.</
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>
quartę orientalis ſepten-
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trionalis eiuſdem orizontis. </
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xml:space
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cus
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& per totidem gradus conſtituatur extremitas ſeptentrionalis lineæ meridia-
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nę pyxidis nauticę, diſtantis à cuſpide ſeptentrionali ipſius lanceolæ orientem ver-
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ſus, mediante nauis circunuolutione. </
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<
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xml:space
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">vnde ipſamet nauis in huiuſmodi ſitu azimut,
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qui per duos hos loc
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os tranſit, dirigetur, eſſiciendo vt eius prora verſus
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ad
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voluerimus tendere dirigatur. </
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<
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ſeu leucarum iter conficiemus, quot quarta pars vnius gradus requirit. </
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xml:space
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">& dum
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hociter abſoluitur, ille qui pręeſt naui, defferentem azimut
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>
circa ſuos polos
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var
>.i.</
var
>
<
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& eius oppoſitum, ſic circunuoluat, vt interſe ctio azimut
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>
cum orizonte
<
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>.q.i.
<
lb
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p.</
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>
diſtet à prima ratione dictæ quartę partis vnius gradus, conſtituendo ſecundum lo
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cum, proximiorem zenit, ratione dictæ quartæ partis gradus azimut. </
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ctis, obſeruetur deinde vbiæquator
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>
hac ſecunda vice interſecabit orizontem
<
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/>
<
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>q.i.p.</
var
>
quod quidem interſectionis punctum ſemper appelletur
<
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var
>
quod dico non am
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plius in eadem diſtantia manſurum, ut prius à puncto
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>
ſed aut longius diſtabit, aut
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propius accedet, vt in præſenti exemplo. </
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<
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xml:space
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">quemadmodum ex ſe manifeſtum eſt, cú
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poli globi, ideſt ęquatoris ſint extra azimut, vt præſupponitur, quia loci ſunt in diuer
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ſis meridianis.</
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<
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xml:space
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">Pro huiuſmodi autem diſtantiæ ratione denuo dirigatur nauis prout æquator
<
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>.h.
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e.K.</
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>
in orizonte
<
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>
nobis oſtendet, atque hoc modo omnium iter quaſi breuiſſi-
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mum fiet. </
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<
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">dico autem, quaſi, quia omnibus modis neceſſariò conficitur iter contor-
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tum & in formam ſerpigineæ lineæ. </
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<
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xml:space
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">Applicantes deinde per vices extremitatem
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quartæ appoſitæ (de qua ſuperius mentionem fecimus) ipſi zenit
<
var
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var
>
efficientes ut per
<
lb
/>
ſitum poli globi pertranſeat, deueniemus in cognitionem altitudinis eiuſdem ab
<
lb
/>
orizonte, & per conſequens quantum itineris per latitudinem eiuſdem globi pere-
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gerit. </
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<
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xml:space
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">mediante deinde interſectione orizontis
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cum æquatore, cognoſcemus
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itineris per longitudinem eiuſdem globi, in ipſo ęquatore fuerit peractum,.</
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