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]

Table of contents

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[4.28.] Occultam fuiße grauisſimo Stagirit & canſam ſcintilla-tionis ſtellarum. CAP. XXVIII.
[4.29.] Daricontinuum infinitum motum ſuper rectam at que finitam lineam. CAP. XXIX.
[4.30.] Non eſſe ſolis calorem à motu localι ipſius corporis ſolaris, ut Ariſtoteli placuit. CAP. XXX.
[4.31.] Vnde caloris ſolis prode at incrementum & state, et byeme decrementum. CAP. XXXI.
[4.32.] Nullum corpus ſenſus expers à ſono offendi, præterquam Aristoteles crediderit. CAP. XXXII.
[4.33.] Pytagoreorum opinionem de ſonitu corporum cælestium non fuiſſe ab Aristotele ſublatam. CAP. XXXIII.
[4.34.] Deraro et denſo nonnulla, minus diligenter à Peripateticis perpenſa. CAP. XXXIIII.
[4.35.] Motum rectum curuo poſſe comparari etiam diſentiente Ariſtotele. CAP. XXXV.
[4.36.] Minus ſufficienter exploſam fuiſſe ab Ariſtotele opinionem cre-dentium plures mundos exiſtere. CAP. XXXVI.
[4.37.] Anrectè loquutus ſit Phyloſopbus de extenſione luminis per uacuum. CAP. XXXVII.
[4.38.] An rectè phyloſophiœ penus Ariſtoteles ſenſerit de loco im-pellendo à pyramide. CAP. XXXVIII.
[4.39.] Examinatur quam ualida ſit ratio Aristotelis de inalterabilitate Cœli. CAP. XXXIX.
[5.] IN QVINTVM EVCLIDIS LIBRVM
[Item 5.1.]
[5.1.1.] Horum autem primum est.
[5.1.2.] SECVNDVM.
[5.1.3.] TERTIVM. Quę est εuclidis ſeptima propoſitio.
[5.1.4.] QVARTVM. εuclidis uerò nona propoſitio.
[5.1.5.] QVINTVM. Euclidis uerò octaua propoſitio.
[5.1.6.] SEXTVM. εuclidis uerò decima propoſitio.
[5.1.7.] SEPTIMVM. Euclidis uerò undecima propoſitio.
[5.1.8.] OCTAVVM. εuclidis uerò duodecima propoſitio.
[5.1.9.] NONVM. Euclidis uero tertiadecima propoſitio.
[5.1.10.] DECIMVM.
[5.1.11.] VNDECIMVM.
[5.1.12.] DVODECIMVM.
[Item 5.2.]
[5.2.1.] THEOR.I. II. ET III.
[5.2.2.] THEOREM. IIII.
[5.2.3.] THEOR.V. ET VI.
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              <head xml:id="echoid-head301" style="it" xml:space="preserve">Non eſſe ſolis calorem à motu localι ipſius corporis ſolaris,
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              ut Ariſtoteli placuit.</head>
              <head xml:id="echoid-head302" xml:space="preserve">CAP. XXX.</head>
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                <s xml:id="echoid-s2245" xml:space="preserve">JD nullo planè modo eſt admittendum quod Ariftoteles credidit calorem folis à
                  <lb/>
                motu locali ipſiuſmet corporis folaris, & non à lumine, prouenire, quemadmo-
                  <lb/>
                dum manifeftè aſſerit primo metheororum cap .3. circa finem fic fcribens.</s>
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                <s xml:id="echoid-s2246" xml:space="preserve">Vtigitur repor gignatur atque calor, folis latio duntaxat, ſatis eſt eſſicere, & c. ſed
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                cap .7. lib. 2. de cælo fic ſeribit, Caliditas autem ab ipſis,
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                ideo fit, quia aer
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                ab illorum motione fricatur.</s>
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                <s xml:id="echoid-s2247" xml:space="preserve">Vbi non folum oftendit fe opinari, quòd motus corporum cœleſtium fit caufa ca
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                loris, ſed eriam luminis, paulò autem poſt dicit, ſuperiorum autem corporum vnum
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                quodque fertur in ſphæra, vt ipſa quidem non igniantur. </s>
                <s xml:id="echoid-s2248" xml:space="preserve">Opinio profecto abfur-
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                da. </s>
                <s xml:id="echoid-s2249" xml:space="preserve">Nam cùm corpus ſolate fixum fit in ſpisfitudine ſui orbis deferentis, fe-
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                cundum communem opinionem, non mouetur per fe, ſed accidentaliter, cum ſei-
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                licet fertur à dicto ſuo orbe, vnde fieri poteſt, vt in motu fui orbis, nullum ex
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                orbibus fuorum deferentium augis fricet, fed fi fricaret, id faceret mediante vno fo
                  <lb/>
                lo puncto, vt cuilibet, aliquantulum in mathematicis verfato patet. </s>
                <s xml:id="echoid-s2250" xml:space="preserve">Quam ob cau
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                ſam, rationi
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                non eſſet credere, quòd tantùm caloris gigneretur. </s>
                <s xml:id="echoid-s2251" xml:space="preserve">Quod
                  <lb/>
                tamen fi posſibile eſſet, quid ergo fricatio ſuperficierum orbis ſui, cum iis, quæ funt
                  <lb/>
                deferentium augis efficeret? </s>
                <s xml:id="echoid-s2252" xml:space="preserve">
                  <reg norm="Quando" type="context">Quãdo</reg>
                tamen hoc fieret, vt ſcilicet à fricatione fuper
                  <lb/>
                ficierum procederet calor, nil planè diferiminis inter hyemen, & æftatem intercede
                  <lb/>
                ret, nec inter calorem diei, & noctis, nec inter unam horam, aut alteram; </s>
                <s xml:id="echoid-s2253" xml:space="preserve">fed fecun-
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                dum Ariftotelis rationes, Venus,
                  <reg norm="Mercuriusque" type="simple">Mercuriusq́;</reg>
                , magis calefacere quam fol de
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                ,
                  <lb/>
                cum ita ſint veloces vt ipſe Sol, & eodem magis propinqua terræ. </s>
                <s xml:id="echoid-s2254" xml:space="preserve">Verum Ari-
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                ſtotelis
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                ,
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                  <reg norm="alium" type="context">aliũ</reg>
                  <reg norm="planetam" type="context">planetã</reg>
                quam folem
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                philofophi ſupra
                  <reg norm="Lunam" type="context">Lunã</reg>
                eſ-
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                ſe. </s>
                <s xml:id="echoid-s2255" xml:space="preserve">Atque etiam
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                menfe Decembri, quam Iunio, magis inualeſceret calor,
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                cum huiuſmodi menſe ſolad nos propius accedat, quam menfe Iunii. per differen-
                  <lb/>
                tiam maiorem diametro regionis elementaris, (nam folaris eccentricitas maior eft
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                ſemidiametro
                  <reg norm="elementaris" type="context">elemẽtaris</reg>
                regionis) non confiderans Ariftoteles differentiam ca-
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                loris, quæ naſcitur ex eo,
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                Sol aut altius ſupra orizontem excurrat, aut infra
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                feratur; </s>
                <s xml:id="echoid-s2256" xml:space="preserve">neque eam, quę à longitudine, aut breuitate diei proficiſcitur. </s>
                <s xml:id="echoid-s2257" xml:space="preserve">Sed quia Ari
                  <lb/>
                ſtoteles eodem cap tertio Metheororum intelligit de motu rapto, ideſt diurno, ſiue
                  <lb/>
                dicamus vniuerfali, hinc ſequi deberet,
                  <reg norm="qui" type="simple">ꝗ</reg>
                Sol maiorem caloris uim menſe Martij &
                  <lb/>
                Septembris, quàm aliis menfibus, profunderet, quia in iiſdem temporibus, ſol virtu
                  <lb/>
                te huiuſmodi motus velocior exiftat, quàm alio quolibet tempore anni, cum tunc
                  <lb/>
                per æquatorem circuũoluatur. </s>
                <s xml:id="echoid-s2258" xml:space="preserve">Multa quoque alia incommoda ſequerentur ſi Ari
                  <lb/>
                ſtorelis rationes admitteremus. </s>
                <s xml:id="echoid-s2259" xml:space="preserve">Sed clarè uidemus, mediante refl exione aut refra-
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                ctione radiorum folarium,
                  <reg norm="qui" type="simple">ꝗ</reg>
                vniente ſeſe lumine, unitur quoque, & augetur calor,
                  <lb/>
                atque omnis res ad comburendum apta accenditur, & inflammatur. </s>
                <s xml:id="echoid-s2260" xml:space="preserve">In lumine igi- </s>
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