DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

Table of figures

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            <pb xlink:href="077/01/173.jpg" pagenum="169"/>
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              <s id="N1690F">Quadrupla ſit magnitudo A magnitudinis BC.
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                <arrow.to.target n="fig74"/>
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              ſit verò BC alterius magnitudinis CD tripla. </s>
              <s id="N16918">Di
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              co magnitudinem A vtrarumquè ſimul BC CD,
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              hoc eſt BD triplam eſse. </s>
              <s id="N1691E">Quoniam enim BC tri­
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              pla eſt ipſius CD, erit componendo BC cum CD,
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              hoc eſt BD ipſius CD quadrupla. </s>
              <s id="N16924">ſed magnitudo
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              quo〈que〉 A quadrupla eſt ipſius BC, eandem igitur
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              habetproportionem A ad BC, vt BD ad CD. &
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              permutando A ad BD, vt BC ad CD. &
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              qui­
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              dem BC tripla ipſius CD, ergo A ipſius BD tri­
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              pla exiſtit. </s>
              <s id="N16934">quod demonſtrare oportebat. </s>
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            <p id="N16936" type="margin">
              <s id="N16938">
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              16.
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              quinti.
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            <figure id="id.077.01.173.1.jpg" xlink:href="077/01/173/1.jpg" number="108"/>
            <p id="N16945" type="head">
              <s id="N16947">LEMMA. II.</s>
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            <p id="N16949" type="main">
              <s id="N1694B">Si magnitudo magnitudinis fuerit ſeſquitertia, erit magni­
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              tudo minor ipſius exceſſus tripla. </s>
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            <p id="N1694F" type="main">
              <s id="N16951">Sit magnitudo AB magnitudinis C ſeſquiter
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                <arrow.to.target n="fig75"/>
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              tia; exceſſus verò, quo AB ſuperat C, ſit BD. Dico
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                <expan abbr="magnitudinẽ">magnitudinem</expan>
              C ipſius BD triplam eſſe. </s>
              <s id="N1695F">quod qui
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              dem ex ſe patet. </s>
              <s id="N16963">Nam quoniam BD eſt exceſ­
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              ſus, quo AB ſuperat C. magnitudo autem AB i­
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              pſam C ſuperat tertia ipſius C parte, cum ſit AB
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              ipſius C ſeſquitertia. </s>
              <s id="N1696B">erit igitur BD tertia pars i­
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              ſius C. quare magnitudo C ipſius BD tripla
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              exiſtit. </s>
              <s id="N16971">quod oſtendere oportebat. </s>
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            <figure id="id.077.01.173.2.jpg" xlink:href="077/01/173/2.jpg" number="109"/>
            <p id="N16977" type="head">
              <s id="N16979">LEMMA III.</s>
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            <p id="N1697B" type="main">
              <s id="N1697D">Sit magnitudo AB ipſius BC ſextupla. </s>
              <s id="N1697F">ſit verò AD tripla
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              ipſius AC. Dico BD ipſius BA ſeſquialteram eſse. </s>
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