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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86
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0086
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<
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<
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xml:space
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">Exempli gratia, ſi primus octo diebus antequam ſecundus iter arripuiſſet, con-
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fingulis diebus .20. milliaria, tum ſecundus .25. quotidie perfeciſſet, mul
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tiplicandus eſſet numerus .8. cum .20. ex quo darentur .160. milliaria à primo ſolo
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confecta, quibus diuiſis per .5. differentiam motuum diurnorum, daretur
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32.</
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numerus quæſitus dierum.</
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<
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xml:space
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">Cuius ratio apertiſſima eſt. </
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xml:space
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et
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æquales inter
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ſe, quibus motus itinerarium ſignificentur, quorum
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ſit primi, et
<
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ſecundi, præ
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tereà.
<
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numerum milliarium diurnorum primi .et
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ſecundi, ex quo
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minor
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erit
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>.u.e.</
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per
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atque ita
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co-
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gnoſcetur. </
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numerum
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primi ſoli iter agentis denotet,
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conſtituamus
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æqualem eſſe
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o.i.</
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ęqualis erit
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atque
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cogni
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tus ex ſuis producentibus
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et
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itaque
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etiam cognitus, qui diui-
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ſus per latus cognitum
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>.o.e.</
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dabit
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>.e.
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i.</
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cognitum numerum ſcilicet dierum, quibus ſecundo ambulandum eſt, vt primum
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conſequatur.</
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">AB hoc theoremate ſumpſi ordinem illius operationis, numeris mediantibus, ad
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inueniendam exactam temporis quantitatem, ſeu interuallum,
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tranſit, vel in
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tercedit inter vnam mediocrem coniunctionem & aliam proximam
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duo
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rum planetarum, vt patet in epiſtola noſtra ad Illuſtrem Bernardum Trottum con-
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tra Benedictum Altauillam repræhenſorem Ephemeridum. </
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xml:space
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cum praxis huiuſmodi theorematis ſit multiplex, viſum fuit vnam proponere, quę
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non ita perſpicua ſit, ſed ſubobſcura, non quòd aliquid voluerim latere illum ami
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cum mihi dilectiſſimum, cui priuatim omnes modos prius oſtenderam, ſed vt cere-
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brum illius mei aduerſarij in laberintum conijcerem inextricabilem vt feci, quam-
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uis modus ille egregius etiam ſit, vt nunc oſtendam.</
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<
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xml:space
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">In dicta epiſtola igitur mente cogitaui medium motum tardioris planetæ, pu-
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ta ſaturni, illius temporis quo velocior planeta, ſcilicet Iupiter, percurrit ſuo medio
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motu totum zodiacum, incipiendo ambo eodem temporis puncto, nec non ab vna
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eorum media coniunctione, hoc eſt ab eodem zodiaci puncto, in quo coniunctę fue
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runt eorum lineæ mediorum motuum, vbi inueni vi regulæ de tribus, quòd Satur
<
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nus ſpacio dierum vnius mediocris reuolutionis Iouis, qui ſunt .4328. progreditur
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medio motu gra .145. min .4. hoc eſt min .8704. pofito quòd ipſe Saturnus perficiat
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vnam mediam reuolutionem ſpacio dierum .10740. vt dixi. </
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<
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xml:space
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">Incipiendo igitur ite
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rum Iupiter aliam reuolutionem percurrere, reperto Saturno per min .8704. ante
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ipſum ſpacio .4328. dierum, certus eram hos dies ſignificatos eſſe à linea
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vel
<
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>.c.
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o.</
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(æquales enim inuicem ſunt) in figura huiuſmodi theorematis, & quòd rectangu
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lum
<
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>.a.o.</
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>
præbebat ſummam graduum .145. min .4. hoc eſt min .8704. et quòd
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>
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vel
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ſignificabat iter vnius diei ipſius Saturni, et
<
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>.u.e.</
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>
iter vnius diei Iouis. </
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<
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xml:space
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temus nunc
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ſignificari dies .30. & à puncto
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productam eſſe
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>.x.f.</
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parallelam ipſi
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<
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>u.o.e.</
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vnde certi erimus rectangulum
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ſignificare iter Ionis ſpacio temporis die-
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rum .30. rectangulum verò
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iter Saturni eodem temporis interuallo, vnde rectan </
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