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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0435
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<
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xml:space
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">NOVA INVENTIO COMPONENDI ASTROLABIA
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cum Horologijs artificialibus.</
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Sabaudiæ Ducis Artifici.</
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<
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emph
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conſideraui mirabilem pulchritudinem, ſimul cum vtili-
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tate coniunctam, illorum horologiorum, quæin Germania conſtruuntur
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cum
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type
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mobili Rete, ſeu Aranea Aſtrolabij
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ſuper
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type
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Tabulam
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type
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regionis, in
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quibus
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conti
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type
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nuo
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oriri,
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cæleſtia ſigna, cælum mediare ſupra orizon
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, necnon ſub eo, & vt vno verbo dicam, continuo erecta videtur tota coelifigura.
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<
s
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xml:space
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">Sed quia talia horologia omnia eorum limbum diſtinctum habent in .24. horas, qua
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propter diametrum limbi, minorem duobus palmis, ſeu ſemipede eſſe non oportet
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neinterſtitia horarum iuſtò breuiora ſeu anguſtiora efficiantur, etiam ne interualla
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dentium rotæ indicis nimis anguſta ſint. </
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<
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xml:space
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">Sed quia talis magnitudo vt plurimum in-
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commoda exiſtit. </
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<
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xml:space
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">Ideo non inutile fore cogitaui, ſi modus aliquis inuentus fuerit,
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vt ea omnia efficiantur in limbo diuiſo tantummodo in .12. horas æquales,
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inueni, qui quidem erit, efficiendo vt Tabula (in qua deſignantur cęleſtes domus,
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cum almicantarat, atque azimut) Reti ſubiectæ, mobilis ſit, tardior tamen ipſo Re-
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te cum indice, pro duplo temporis, hoc eſt, quod eo tempore, quo Aranea cum in
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dice circunuoluetur ſpacio .12. horarum vno gyro perfecto, ipſa Tabula efficiat tan
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tummodo ſexinterſtitia horarum. </
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<
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xml:space
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">Ideſt dum Tabula dicta eſſicit vnam integram re
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uolutionem, Aranea, ſeu Zodiacus cum indice, duas efficiat reuolutiones. </
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<
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Aranea cum indice perficiet vnam reuolutionem ſpaci o temporis .12. horarum, Ta-
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bula verò perficiet eam ſpacio temporis .24. horarum. </
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<
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xml:space
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">Vnde ſequetur quod Ara-
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nea ſeu Zodiacus cum indice, ſpacio .24. horarum perfectè circunuoluetur ſupra Ta-
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bulam, & ita huiuſmodi horologia, in hoc nihil differrent ab illis ſupradictis. </
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<
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tem facias dictam tabulam tardiorem duplo temporis Araneæ cum indice, quamuis
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diuerſis modis hoc fieri poſſit, pręſtantiorem tamen iudico, ſi cum Rota indicis,
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Rotam
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coniunxeris, ita tamen, vt
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liberè poſſit volui, ſimiliter
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ſi cum ea horologii particula (quę
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Rotam indicis, quæ Italicè
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Germanicè verò
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vocatur, Latinè
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ipſum vocabo,
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, qui ſubro-
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ta fuſi reperitur) coniunxeris alium colinum quem, ſecundum vocabo,
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verò cum primo, cum
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conſolidato, numerum verò dentium, tam Rotę adiunctę
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quam ſecundi colini, varijs modis poteris inuenire, quorum primus erit, vt numerus
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dentium ſecundæ Rotę duplus exiſtat numero dentium primę, efficiendo ſecundum
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colinum eiuſdem numeri dentium quo primum, ſed quia interualla dentium huiuſ-
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modi Rotę, nimis anguſta fortaſſe reſultabunt, </
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ni, quorum vnus erit (dum numerus dentium primi colini par fuerit)
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ſecun
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dam
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numeri
<
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cuius eſt prima.
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vero colinum, medietatis
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numeri dentium cuius erit primus. </
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<
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dum oporteret eſſe duorum dentium, vnde motus ſecundę Rotę non eſſet ita conti-
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nuus. </
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<
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">Quapropter alium etiam mòdum excogitaui, hoc eſt, cupiendo vt ſecundus
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colinus, extribus dentibus exiſtat, ſi primus ex .4. repertus fuerit, oportebit prius ex
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regula de tribus, numerum quendam inuenire quo inuento ipſum duplicare, & hunc
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duplicatum numerum conueniet ſecundam Rotam habere, vt ipſa poſſit ab illo co-
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lino
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circunuolui in duplo temporis, quo prima à ſuo colino quatuor den </
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