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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260
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0260
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cum epicycli, cum ipſa proportio nullo modo alteratur exiſtente epicyclo vbi volue
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ris ipſius circunferentiæ eccentrici, ſed angulus in centro mundi, cui ſubiacet dictus
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diameter epicycli, bene alteratur, propter inæqualem diſtantiam centri epicycli
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ab ipſo centro mundi. </
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<
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xml:space
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tinere</
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ſolum gra .66. minu .28. exiſtente centro epicycli in longitudinibus medijs &
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non gra .79. vt ipſe dicit.</
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<
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<
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xml:id
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xml:space
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">Omitto poſtea, quod vbi mentionem facit coniunctionum Solis cum Marte au-
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gium & earum oppoſitorum, non explicat an intelligat de veris an de medijs. </
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>
<
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xml:space
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">Nam
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ſi ex eius modo loquendi accipiatur eum loqui de veris multum erraret.</
s
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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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">Sed quia iam tibi moleſtum eſſe inciperet ſi diutius te detinerem in his conten-
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tionibus aſtronomicis, vlterius non diſputabo. </
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>
<
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xml:space
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preserve
">Satis enim hactenus explicaui
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type
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tiam</
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meam, vt oſtendiſſe videor quam mihi iucundum ſit tibi
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gerere. </
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<
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xml:space
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">In quo
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etiam hnmanitati tuæ gratiam habebo,
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petitione tua occaſionem mihi de deris
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efficiendi, vt tum amici tui (amant enim te omnia ſublimia ingenia) tum alij, ſi
<
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type
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falſam opinionem ex huius Benedicti Altæuillæ ſcriptis ſumpſiſſent,
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relinquant,
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& per te hoc beneficium à me conſequantur, & huiuſmodi occaſionem, & iuuandi
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hominum ſtudia & tibi gratum faciendi, honorificum, & per gratum mihi fuiſſe in-
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telligant. </
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>
<
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xml:space
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">Vale & me vt ſoles ama.</
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<
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<
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xml:space
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<
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<
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xml:space
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">INter alia quæ à me ſcire cupis, vir doctiſſime, hoc vnum eſt, vt ex literis tuis ac-
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cepi, vnde ſit vt priſci noſtri probatione numeri nouenarij potius quam ſepte-
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narij vſi fuerint, & qua ratione non idem proueniat ex probatione numerorum
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octonarij, ſenarij, vel quinarij, aut cuiuslibet alterius: </
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<
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xml:space
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">Vnde pariter oriatur quod in
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partitionis probatione neceſſum ſit probationum euentus multiplicare cum proba-
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tione diuiſoris, ac eam quæ eſt producti poſtea cum probatione fractionis in ſum-
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mam colligere, & c. </
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<
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xml:space
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">Ad hæc in primis reſpondeo, cum aliquoties accidere poſſit ta
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les probationes nos fallere poſſe,
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fi in tali ſumma ſimilis numerus, ut puta ſe-
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ptem, aut nouem, plus vel minus æquo iuſtouè poſitus fuerit, attamen per raro eueni
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re poteſt, vt quis per nouenarium potius quam per ſeptenarium decipiatur. </
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<
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xml:space
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pli gratia, ponamus ſummam eſſe .100. quam numerus nouenarius vndecies ſolum
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ingreditur, at ſeptenarius quatuordecies, vnde quis
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ex ſeptenario, hacratione,
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quam ex nouenario numero ſe poſſe errare facile depræhendet, efſi ex probatione
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nouenarij magis quam ſeptenarij, vt practici ſcribunt, duabus de cauſis errare poſſi-
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mus. </
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<
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xml:space
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">Alia tamen ratio mihi ſuppetit, ob quam credibile eſt ipſos potius nouena-
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rio adiutos fuiſſe, quam ſeptenario, quæ eſt ob ſui cum velocitatem tum
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,
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enim in ſeptenario eſt adeo facilis. </
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quamuis, tam vna quam altera aliud
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non ſit, quam numerorum ordines diuidere (ſi de ſummis primo loquamur) aut è
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ſumma ſuperſluum ordinum colligere, & videre an idemmet ſuperfluum ex eadem
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ſumma emanet, attamen cum modus, qui in hoc adhiberi poteſt in nouenario
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in ſeptenario velocior ſit, & ob id probationem nouenarij ſeligunt potius quam
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ſeptenarij.</
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