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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hoc eſt vt
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. </
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ita erit proportio
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triangulo
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vt
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ad
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conſtituo deinde ex .25. fexti duo triangula ſimi-
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lia duobus
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et
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quę ſint
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ſecetur poſtea
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g.</
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in puncto
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ita, quod
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æqualis ſit
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duco poſtea
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æquidiſtantem. ad
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& ſic habebimus duo triangula
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ct
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e, vt quærebantur, quamuis duo trian
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gula
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et
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eaſdem habeant conditiones.</
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<
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">DE IMPERFECTA SOLVTIONE PROBLE-
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matis Nicolai Tartaleæ ad Cardanum. De animad-
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uerſione in Ptolomeum. Deincendio carbo-
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num à vento.</
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<
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">Clariβimo Dominico Moreſino.</
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<
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propoſitam tibi quæſtionem te diu agitauiſſe, nectamen ſolutio-
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nem aſſequi potuiſſe, aduerte igitur ipſam falſam, ideſt impoſſibilem
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eſſe, quemadmodum etiam decimumoctauum quæſitum propoſitum à
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Cardano Tartaleæ, ab ipſo Tarralea ſolutum minimè fuit. </
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">Quiquidem
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Tartalea vult circulum deſcribi circa triangulum per quintam libri quarti Euclidis,
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vt in fine ferè quintæ partis ſuarum menſurarum affirmat, neque videt in quinta
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quarti Euclidem vti vndecima primi, & in vndecima primi, quarta aut octaua eiuſ-
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dem, quas, ipſe Euclides oſtenſiuè non demonſtrauit. </
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">Quapropter oportebat Tar-
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taleam demonſtraſſe omnes propoſitiones ad hoc neceſſarias oſtenſiuè
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ad pri-
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mas indemonſtrabiles, quia ad demonſtrandam ſcientificè
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propoſitionem,
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aut à propoſitione in propoſitionem vſque ad prima principia vniuerſalia ( vt ali-
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quando ego feci) eſt retrogradandum, aut ab ipſis principijs incipiendum ſucceſſi-
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uè eouſque progrediendo donec ad propoſitionem quam demonſtrare volumus
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perueniamus.</
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<
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">Quod ad Ptolomeum in geographia attinet, dico eum mihi non ſatisfacere, cum
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ſumit portionem arcus circuli maioris inter vnam ciuitatem, & aliam, ea ratione
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quam deſcribit. </
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Al-
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mageſtum vſurpato, aut Monteregij triangulorum ſphęricorum, quem Copernicus
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adhibuit (qui tamen modus, tempore Ptolomei, nondum fortaſſe in lucem vene-
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rat) bene egiſſet.</
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<
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">Quod deinde ad ſuum illud inſtrumentum geometricum attinet, eſt
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vt oſtendi domino Pandulfo.</
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">Motum autem aeris, aut mauis ventum, accendere ignem, non ſolum ratione an
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tiperiſtaſis, quam affers euenit, ſed etiam quia à carbonibus accenſis totam excre
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mentitiam materiam, quæ eos circundat, auferat.</
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">Alia dilucidatio propoſitionis .25. lib. 2. Monteregij.</
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">SCribiste non intelligere .25. propoſitionem lib. 2. Monteregij. cum necſcias
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reperire diametrum circuli circunſcriptibilis circa propoſitum triangu- </
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