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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                  <pb o="194" rhead="IO. BAPT. BENED." n="206" file="0206" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0206"/>
                  <reg norm="cum" type="context">cũ</reg>
                admiratione
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                fragile vas
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                , & graue
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                corpus eleuare.
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                <s xml:id="echoid-s2359" xml:space="preserve">Sed vt ad denſum & ad rarum redeamus, mihi videtur frigidum eſſe conſequentem
                  <lb/>
                qualitatem denſi, & calidum rari, quia quæuis res dum calefit, rarefit, & quælibet
                  <lb/>
                materia dum refrigeratur, ſimul condenſatur. </s>
                <s xml:id="echoid-s2360" xml:space="preserve">Qua ratione fit, vt terra frigidior
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                ſit aqua, & ignis calidior ſit aere.</s>
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                <s xml:id="echoid-s2361" xml:space="preserve">Nec propriè locutus eſt Ariſtoteles .9. & .10. capite primi lib. & ſecundo ſecundi
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                metheororum cum dixerit
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                Solis eum eſſe, qui ſurſum humores,
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                eue
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                hat, quia Sol nil aliud facit, quam calefacere, cuius caloris ratione, ea materia rarefit,
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                & ob rarefactionem leuior facta aſcendit, non quia ſurſum à Sole feratur.</s>
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                <s xml:id="echoid-s2362" xml:space="preserve">Quę ſubſequuntur, cum raro ac denſo ſimbolum habere videntur. </s>
                <s xml:id="echoid-s2363" xml:space="preserve">cum raro, ſcili-
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                cet calidum, humidum, leue, ſublime, diaphanum, lumen, clarum, lux,
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                , dies, mo-
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                tus, velox, ſimplex, diſgregatum, molle, lene, acutum, ſubtile, coctum,
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                ,
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                dulce, voluptas, audacia, lætitia, liberalitas, veritas, induſtria, amor, miſericordia, hu-
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                manitas, ſanitas, vita, & iis ſimilia. </s>
                <s xml:id="echoid-s2364" xml:space="preserve">Cum denſo verò frigidum, ſiccum, graue, imum,
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                opacum, vmbra, obſcurum, tenebræ, nigrum, nox, quies, tardum, mixtum, congrega
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                tum, durum, aſperum, ob tuſum, craſſum, crudum, anguſtum, amarum, dolor, cimor,
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                , auaritia, mendacium, inertia, odium, crudelitas, feritas, infirmitas, mors,
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                & ijs ſimilia.</s>
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                <s xml:id="echoid-s2365" xml:space="preserve">Verum eſt quod ea ratio, qua Ariſtoteles ait aerem humidum eſſe, parui eſt mo-
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                menti, quia ſimiliter deigne inferri poſſet, qui facilius à termino alieno,
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                aer, aut
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                aqua terminari poteſt.</s>
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            <div xml:id="echoid-div435" type="section" level="3" n="35">
              <head xml:id="echoid-head311" style="it" xml:space="preserve">Motum rectum curuo poſſe comparari etiam diſentiente
                <lb/>
              Ariſtotele.</head>
              <head xml:id="echoid-head312" xml:space="preserve">CAP. XXXV.</head>
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                <s xml:id="echoid-s2366" xml:space="preserve">SEd vt ad
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                redeamus, rectè dicere non poteſt motum rectum ad
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                  <lb/>
                comparabilem non eſſe .4. cap. lib. 7. phyſicorum, vbi errat quoque dicens repe
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                riri non poſſe lineam aliquam rectam alicuius circuli circunferentiæ æqualem. </s>
                <s xml:id="echoid-s2367" xml:space="preserve">quia
                  <lb/>
                Archimedes iam probauit in lib. de quadratura circuli, triangulum illum orthogo-
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                nium, cuius vnum ex lateribus circundantibus angulum rectum æquale eſſet ſemi-
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                piametro alicuius circuli, & aliud circunferentiæ, æqualem futurum dicto circulo. </s>
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                lud igitur triangulum orthogonium, quod æquale erit alicui circulo, & habebit ali-
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                quod ex ſuis lateribus circundantibus angulum rectum æquale ſemidiametro dicti
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                circuli, aliud quoque latus ipſum angulum rectum circundans, ex neceſſitate,
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                  ferentiæ</reg>
                dicti circuli habebit æquale. </s>
                <s xml:id="echoid-s2369" xml:space="preserve">Poteſt igitur dari vna quædam recta linea
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                  qualis</reg>
                circulari contra Ariſtotelis opinionem, qui non benè reuocauit in mentem,
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                quod ſcripſit de relatiuis, cum dixit quadraturam circuli poſſe quidem dari, etſi
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                  <reg norm="temporis" type="wordlist">tꝑis</reg>
                de ea
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                ſcientia. </s>
                <s xml:id="echoid-s2370" xml:space="preserve">Si
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                dicta quadratura dari
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                , poteſt
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                dari vna
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                recta linea ęqualis circunferentiæ
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                circuli, ob rationes
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                dictas. </s>
                <s xml:id="echoid-s2371" xml:space="preserve">Sed ſi Ariſt.
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                dixiſſet, circularem corporum cęleſtium motum, comparabilem non eſſerecto cor-
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                porum elementarium, verum dixiſſet, non quia eorum alter circularis, alter ve-
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                rò ſit rectus, ſed quia cœleſtis regularis ſit, neque modò tardus, modò velox,
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                ſed vnam ſemper & eandem velocitatem retinens,
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                , qui eſt
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                elemen­ </s>
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