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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              <pb o="169" rhead="DISPVTATIONES." n="181" file="0181" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0181"/>
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              <head xml:id="echoid-head245" style="it" xml:space="preserve">Quædam ſupponenda ut conſtet cur circa uelocit atem motuum
                <lb/>
              natur alium localium ab Ariſtotelis placitis
                <lb/>
              recedamus.</head>
              <head xml:id="echoid-head246" xml:space="preserve">CAP. II.</head>
              <p>
                <s xml:id="echoid-s2012" xml:space="preserve">CVM ſuſceperimus prouinciam probandi quod Ariſtoteles circa motus
                  <lb/>
                locales naturales deceptus fuerit, ſunt quædam primo veriſſima & obie-
                  <lb/>
                cta intellectus perſe cognita pręſupponenda, ac primum quælibet duo corpora,
                  <lb/>
                grauia, aut leuia, area æquali,
                  <reg norm="ſimilique" type="simple">ſimiliq́</reg>
                figura, ſed ex materia diuerſa conſtantia,
                  <reg norm="eodem­ q́ue" type="context">eodẽ­
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                  q́ue</reg>
                modo ſitum habentia, eandem proportionem velocitatis inter ſuos motus loca
                  <lb/>
                les naturales, ut inter ſuamet pondera aut leuitates in vno
                  <reg norm="eodemque" type="simple">eodemq́;</reg>
                medio, ſeruatu-
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                ra. </s>
                <s xml:id="echoid-s2013" xml:space="preserve">Quod quidem natura ſua notiſſimum eſt ſi conſiderabimus non aliunde maio-
                  <lb/>
                rem tarditatem, aut velocitatem gigni, quàm à .4. cauſis (dummodo medium vnifor
                  <lb/>
                mè ſit & quietum) ideſt à maiori aut minori pondere aut leuitate; </s>
                <s xml:id="echoid-s2014" xml:space="preserve">à diuerſa figura;
                  <lb/>
                </s>
                <s xml:id="echoid-s2015" xml:space="preserve">à ſitu ciuſdem figuræ diuerſo, reſpectu lineę directionis, quæ recta inter mundi cen-
                  <lb/>
                trum, & circunferentiam extenditur; </s>
                <s xml:id="echoid-s2016" xml:space="preserve">& ab inæquali magnitudine. </s>
                <s xml:id="echoid-s2017" xml:space="preserve">Vnde patebit,
                  <lb/>
                quòd figuram non variando, nec in qualitate nec in quantitate, neque eiuſdem figu-
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                ræ ſitum, motum fore proportionatum virtuti mouenti, quæ erit pondus aut leuitas.
                  <lb/>
                </s>
                <s xml:id="echoid-s2018" xml:space="preserve">Quod autem de qualitate, de quantitate & ſitu eiuſdem figuræ dico, reſpectu reſi-
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                ftentiæ ipſius medii dico: </s>
                <s xml:id="echoid-s2019" xml:space="preserve">Quia diffimilitudo aut inęqualitas figurarum, aut ſitus di-
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                uerſus non
                  <reg norm="parum" type="context">parũ</reg>
                alterat dictorum corporum motus, cum figura parua facilius diui-
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                dat continuitatem medij, quam magna; </s>
                <s xml:id="echoid-s2020" xml:space="preserve">vt etiam cęlerius idem facit acuta, quàm ob
                  <lb/>
                tufa; </s>
                <s xml:id="echoid-s2021" xml:space="preserve">& illa quæ cum angulo, qui antecedat mouebitur velocius quàm illa, quæ ſecus.
                  <lb/>
                </s>
                <s xml:id="echoid-s2022" xml:space="preserve">Quotieſcunque igitur duo corpora vnam
                  <reg norm="eandemque" type="simple">eandemq́;</reg>
                reſiſtentiam ipſorum ſuperfi-
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                ciebus, aut habebunt aut recipient, eorum motus inter ſeipſos eodem planè modo
                  <lb/>
                proportionati conſurgent, quo erunt ipſorum virtutes mouentes: </s>
                <s xml:id="echoid-s2023" xml:space="preserve">& è conuerſo, quo
                  <lb/>
                tieſcunque duo corpora vnam
                  <reg norm="eandemque" type="simple">eandemq́;</reg>
                grauitatem, aut leuitatem, & diuerſas reſi
                  <lb/>
                ſtentias habebunt, eorum motus inter ſeipſos eandem
                  <reg norm="proportionem" type="context">proportionẽ</reg>
                ſortientur,
                  <reg norm="quam" type="context">quã</reg>
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                habebunteorum reſiſtentiæ conuerſo modo; </s>
                <s xml:id="echoid-s2024" xml:space="preserve">quæ quidem reſiſtentiæ inter ſeipſas,
                  <lb/>
                eandem proportionem quàm ipſarum ſuperficies habebunt, aut in qualitate ſola fi
                  <lb/>
                guræ, aut in quantitate ſola, aut in ſitu, aut in aliquibus ex dictis rebus, eo tamen mo
                  <lb/>
                do, quiſuperius poſitus fuit, vt ſcilicet corpus illud quod alteri comparatum, æqua-
                  <lb/>
                lis erit ponderis, aut leuitatis, ſed minoris reſiſtentiæ, exiſtet velocius altero, in
                  <reg norm="eadem" type="context">eadẽ</reg>
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                proportione, cuius ſuperficies reſiſtentiam ſuſcipit minorem ea quæ alterius eſt cor-
                  <lb/>
                poris, ratione facilioris diuiſionis continuitatis aeris, aut aquæ; </s>
                <s xml:id="echoid-s2025" xml:space="preserve">Vt exempli gratia,
                  <lb/>
                ſi proportio ſuperficiei corporis maioris ſuperficiei minoris ſeſquitertia eſſet, pro-
                  <lb/>
                portio velocitatis dicti corporis maioris, velocitati corporis minoris, eſſet ſubſeſqui
                  <lb/>
                tertia; </s>
                <s xml:id="echoid-s2026" xml:space="preserve">vnde velocitas minoris corporis, maior eſſet velocitate corporis maioris,
                  <reg norm="quem" type="context">quẽ</reg>
                  <lb/>
                admodum quaternarius numerus ternario maior exiſtit.</s>
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                <s xml:id="echoid-s2027" xml:space="preserve">Aliud quoque ſupponendum eſt, velocitatem ſcilicet motus naturalis alicuius
                  <lb/>
                corporis grauis, in diuerſis medijs, propor-
                  <lb/>
                tionatam eſſe ponderi eiuſdem corporis in
                  <lb/>
                ijſdem medijs; </s>
                <s xml:id="echoid-s2028" xml:space="preserve">Vt exempli gratia, ſi pondus
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                  <figure xlink:label="fig-0181-01" xlink:href="fig-0181-01a" number="242">
                    <image file="0181-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0181-01"/>
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                totale alicuius corporis grauis ſignificatum
                  <lb/>
                crit ab
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                quo corpore poſito in aliquo me- </s>
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