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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tium. </
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<
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xml:space
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">Exempli gratia, ſi prima Rota conſtaret ex .36. dentibus, dicendum eſſet, ſi
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4. conuenit cum .36. cum quibus conuenient .3. & inueniemus .27. cum quo numero
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dicta ſecunda Rota circunuolueretur eodem tempore à ſuo colino trium dentium,
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quo prima à ſuo quatuor dentium, </
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<
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">quare duplicando .27. haberemus .54. pro nume-
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ro dentium dictę ſecundæ Rotæ, vt duplo temporis circunuoluatur quo prima. </
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<
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ſi primus colinus conſtaret ex .6. dentibus, exiſtente ſua Rota ex .36.
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ſecundus exiſteret ex .4. </
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<
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xml:space
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gula. </
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<
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do huiuſmodi numerus impar, ſeu par, exiſteret pars propria numeri dentium, vel
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ipſius dupli primæ Rotę, hoc eſt, eſſet pars aliquota numeri dentium ipſius primæ
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Rotæ vel ipſius dupli. </
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<
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ctę primę Rotę non erit multiplex numero dentium primi colini, hoc fieri non pote
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rit. </
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<
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ſemper numerus dentium ſecundę Rotę multiplex eſſe debeat numero dentium ſe-
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cundi colini. </
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merus primę multiplex ſit numero ſui colini, nam hoc neceſſarium non eſt. </
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mus exempli gratia primum colinum conſtare ſex dentibus, ſuam vero Rotam den-
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tibus .21. cuius quidem numeri, 6. non eſt pars aliquota, ſed dupli ipſius .21. ipſe .6.
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eſt pars aliquota. </
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nire, cuius colinus ex quinque dentibus exiſtat (ſuppoſito primo ex .6. conſtare) </
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ex regula de tribus, diuiſo producto, quod fit ex .21. in .5. per .6. exibit .17. cum di-
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midio, cuius duplum eſſet .35. qui multiplex eſt ipſi quinque. </
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ro ſecundę Rotę, cum numero ipſius colini, oportet nunc ſcire modum compoſitio-
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nis, ſeu coniunctionis harum rerum, hoc eſt duorum colinorum
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(ſed
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cum Zodiaco, & cum indice, ſeu Oſtenſore, cuius quidem Oſtenſoris medietas tan
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tummodo nobis ſufficiet. </
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uoluat totam primam Rotam, ſpacio temporis .12. horarum, oportet vt eius axis, ſeu
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arbor voluat oſtenſorem,
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, eodem temporis ſpacio, & quia Rota hęc
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, quotidie ferè, dirigere,
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locis collocare, ideo nos oportet, indi
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cem, Zodiacum, & primam Rotam, ita cum axe, ſeu arbore coniungere, vt poſſimus
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dicta omnia efficere. </
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Rota, ſit rotunda, & contigua ipſi Rotæ, non autem continua, vel cum Rota conſoli-
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data. </
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ad
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ipſius axis (tali ſpiſſitudine, vt in claui ipſius horologij ingredi poſ-
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ſit) & ita foramen ipſius Araneę, quadratum ſit, Oſtenſor autem circa axem, com
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poſitus ſit tali ordine, vt circa paruum circulum volui poſſit, qui paruus circulus ha-
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beat quadratum foramen, per quod tranſeat axis, qui axis aliquantulum emineat
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ſupra
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dicemus,
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ſed ſciendum eſt prius, quod inter Tabulam, & ſuam ſecundam Rotam, aliam lami-
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nam immobilem interpoſitam eſſe oportet, quę circulare foramen habeat, per
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quędam breuis fiſtula tranſeat circundans axem & coniungens
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cum ſua Ro-
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ta, cuius quidem fiſtulæ ſuperficies concaua, rotunda ſit, ſuperficies verò extrinſe-
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ca, nontota, niſi ea pars, quę ſecundam Rotam ingreditur, vt in rotundo foramine
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ipſius Rotę, dicta fiſtula volui poſſit, pars vero extrinſeca quę Tabulam ingredi de-
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bet, ſit quadrata. </
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