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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DISPVTATIONES.
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            <div xml:id="echoid-div398" type="section" level="3" n="7">
              <p>
                <s xml:id="echoid-s2063" xml:space="preserve">
                  <pb o="173" rhead="DISPVTATIONES." n="185" file="0185" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0185"/>
                ea, quàm Ariſtoteles præſcripſit.</s>
              </p>
              <p>
                <s xml:id="echoid-s2064" xml:space="preserve">Sintigitur corpora
                  <var>.a.</var>
                et
                  <var>.o.</var>
                inæqualia,
                  <reg norm="eadentamen" type="context">eadẽtamen</reg>
                figura & materia prædita, quo-
                  <lb/>
                rum
                  <var>.a.</var>
                maius ſit, & per conſequens in eadem quoque proportione grauius ipſo
                  <var>.o.</var>
                in
                  <lb/>
                qua eſt maius, communi omnium ſententia.</s>
              </p>
              <p>
                <s xml:id="echoid-s2065" xml:space="preserve">Scribit ergo Ariſtoteles proportionem velocitatis corporis
                  <var>.a.</var>
                ad eam, quæ eſt
                  <lb/>
                corporis
                  <var>.o.</var>
                (naturaliterſe vnoquoque mouente) eandem futuram, quæ eſt magnitu
                  <lb/>
                dinis, aut grauitatis corporis
                  <var>.a.</var>
                ad magnitudinem, aut grauitatem corporis
                  <var>.o</var>
                . </s>
                <s xml:id="echoid-s2066" xml:space="preserve">Ima-
                  <lb/>
                ginemur igitur corpus u. eadem magnitudine & figura, qua corpus
                  <var>.a.</var>
                præditum eſt,
                  <lb/>
                ſed eandem grauitatem obtinere, quæ communicata eſt corpori
                  <var>.o.</var>
                quod ex quauis
                  <lb/>
                materia conſter. </s>
                <s xml:id="echoid-s2067" xml:space="preserve">Hinc ex primo ſuppoſito ſecundi capitis certi erimus proportio-
                  <lb/>
                nem velocitatis corporis
                  <var>.a.</var>
                ſi comparetur cum velocitate corporis
                  <var>.u.</var>
                futuram, vt
                  <reg norm="eam" type="context">eã</reg>
                ,
                  <lb/>
                quæ eſt ponderis corporis
                  <var>.a.</var>
                ad pondus ipſius corporis
                  <var>.u</var>
                . </s>
                <s xml:id="echoid-s2068" xml:space="preserve">Ex .9. igitur lib. quinti Eu-
                  <lb/>
                cli. cogitur fateri Ariſtoteles velocitatem corporis
                  <var>.o.</var>
                eſſe vnam
                  <reg norm="eandemque" type="simple">eandemq́;</reg>
                in ſpe-
                  <lb/>
                cie, quæ eſt corporis
                  <var>.u</var>
                . </s>
                <s xml:id="echoid-s2069" xml:space="preserve">Quod primo ſuppoſito cap. ſecundi huius lib. planè repugna­
                  <lb/>
                ret. </s>
                <s xml:id="echoid-s2070" xml:space="preserve">Igitur hæc Ariſtotelis opinio falſa eſt. </s>
                <s xml:id="echoid-s2071" xml:space="preserve">Idem quoque probaretur mediante cor
                  <lb/>
                pore
                  <var>.i.</var>
                æquali magnitudine,
                  <reg norm="ſimilique" type="simple">ſimiliq́;</reg>
                figura cum corpore
                  <var>.o.</var>
                prædito, ſed, quòd ad
                  <lb/>
                quantitatem attinet, æquali corpori
                  <var>.a.</var>
                vnde ex primo ſuppoſito cap. ſecundi huius li
                  <lb/>
                bri in eadem pro
                  <lb/>
                portione
                  <reg norm="velocius" type="simple">velociꝰ</reg>
                  <lb/>
                eſſet corpore
                  <var>.o.</var>
                  <lb/>
                  <anchor type="figure" xlink:label="fig-0185-01a" xlink:href="fig-0185-01"/>
                in qua grauius eſt.
                  <lb/>
                ex .9. igitur quin-
                  <lb/>
                ti cogitur Ariſto-
                  <lb/>
                teles affirmare
                  <reg norm="tam" type="context">tã</reg>
                  <lb/>
                velox eſſe corpus
                  <lb/>
                a.
                  <reg norm="quam" type="context">quã</reg>
                eſt corpus
                  <lb/>
                i. vnde idem pla-
                  <lb/>
                nè inconueniens emergit ex ſecundo ſuppoſito cap. ſecundi huius lib..</s>
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                <figure xlink:label="fig-0185-01" xlink:href="fig-0185-01a">
                  <image file="0185-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0185-01"/>
                </figure>
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            </div>
            <div xml:id="echoid-div400" type="section" level="3" n="8">
              <head xml:id="echoid-head257" style="it" xml:space="preserve">Quod duo corpor a in æqualia eiuſdem materia in diuerſis
                <lb/>
              medijs eandem uelocitatis proportionem
                <lb/>
              retinebunt.</head>
              <head xml:id="echoid-head258" xml:space="preserve">CAP. VIII.</head>
              <p>
                <s xml:id="echoid-s2072" xml:space="preserve">QVælibet duo corpora inæqualia ſimili tamen figura & eadem materia con-
                  <lb/>
                ſtantia, naturaliter ſe per diuerſa media mouentia, vnam
                  <reg norm="eandemque" type="simple">eandemq́;</reg>
                ſem-
                  <lb/>
                per proportionem velocitatum ſeruant.</s>
              </p>
              <p>
                <s xml:id="echoid-s2073" xml:space="preserve">Sint duo corpora
                  <var>.A.</var>
                et
                  <var>.B.</var>
                ſibi inuicem inæqualia quorum
                  <var>.A.</var>
                ſit maius, ſed ſimile
                  <lb/>
                figura & idem materia,
                  <lb/>
                cuius pondus totaleſit
                  <var>.
                    <lb/>
                    <anchor type="figure" xlink:label="fig-0185-02a" xlink:href="fig-0185-02"/>
                  x.o.</var>
                & pondus totaleip
                  <lb/>
                ſius
                  <var>.B.</var>
                ſit
                  <var>.u.s</var>
                . </s>
                <s xml:id="echoid-s2074" xml:space="preserve">Imagine-
                  <lb/>
                mur quoque corpus
                  <var>.A.</var>
                  <lb/>
                poſitum in aqua amitte
                  <lb/>
                re
                  <reg norm="partem" type="context">partẽ</reg>
                  <var>.o.e.</var>
                ponderis. </s>
              </p>
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