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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ni ſcicntia. </
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xml:space
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">Quare maior proportio erit acus
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ad arcum
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quam ad arcum
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ex .8. quinti. </
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">Vnde ex vltima ſexti et .12. quinti, proportio anguli
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ad an-
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gulum
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maior erit quam chordæ, ſiue baſis
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ad chordam ſiue baſim
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.</
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">DE CAVSA SVSPENSIONIS NVBIVM
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in aere contra Antonium Bergam.</
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">Clarißimo Franciſco Venerio.</
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">EGo enim non tantum miror ea quæ mihi ſcripſiſti de opinione Ortenſij
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quantum quod Antonius Berga putat nubes à Sole ſupenſas teneri, id pla
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nè falſum eſt, vera cauſa huiuſmodi effectus, alia nulla eſt, niſi earundem
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raritas hoc eſt, cum rariores ſint ipſo aere ſubiecto, </
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<
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natant & ſtant ſub eo qui rarior ipſis eſt, eo quod corpora rariora poſita in medio
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non tam raro, aſcendunt, & denſiora in medio minus denſo deſcendunt. </
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<
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">Nam ſi
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Sol ipſas nubes ſuſpenſas in aere teneret, hoc interdiu tantummodo fieret, ſed no
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ctu, cur non deſcendunt vſque ad terram, & in eodem loco ſemper manent? </
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<
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dum igitur eſt nubes aſcendere in altum quouſque inueniant aerem eiuſdem ra-
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ritatis cuius ipſæ ſunt. </
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<
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">Raritas enim & denſitas non ſunt res viſibiles niſi per acci-
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dens, quemadmodum etiam leuitas, & grauitas, opacitas verò & diaphaneitas ma
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gis
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, opacitas enim ex reflexione radiorum luminoſorum, diapha
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neitas verò compræhenditur ex penetratione ipſorum radiorum, opacitas autem nu
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bis non eſt denſitas, cum valde diuerſa ſit denſitas ab opacitate, ſicut raritas ab dia-
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phaneitate, vt aliàs dixi. </
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<
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">Et quando dicit, quod Sol calefaciendo aerem ipſam nu
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bem ambientem, rarefaciat eum magis quam ipſam nubem reſpondeo, hoc verum
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non eſſe, proptere
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a quodradius Solis non multum calefacit ea corpora, quæ ip ſi per
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mittunt liberum tranſitum. </
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<
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">vnde corpora quanto magis diaphana ſunt tanto minus
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ab ipſo radio luminoſo calefiunt, ſed ea quæ magis opaca ſunt, magis etiam calefiunt
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& per conſequens magis rarefiunt, cum calidi ſit per ſe rarefacere, & non attrahere,
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vt ipſe & ferè omnes alij putant.</
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">DE RATIONE EXTENSIONIS FVNIS
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cuiuſdam libramenti, & de quadam ſimboleita-
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te circuli cum ellipſi.</
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<
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">Angelo Ferrario Serenißimi Ducis Sabaudia
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Agrimenſori expertißimo.</
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<
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in mentem veniet, quod cum ſuperioribus diebus in villa lucenti, in
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qua degebat Sereniſſimus Dux noſter, dum viridarium ad æquilibrium
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reducebas, eſſemus, à te quæſiui an ſcires vnde fieret, vt ſtante libramen-
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to ad angulos rectos ſupra ſuum pedem, funis quæ extrema eiuſdem li-
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bramenti cum pede in formam trianguli æquicruris coniungit, magis diſtentus exi-
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ſteret, quam cum dictum libramentum cum pede obliquum remanet, ita vt huiuſ- </
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